Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,3,Mod(43,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.43");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.p (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: | \(1.96185790339\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.9 | ||
Character | \(\chi\) | \(=\) | 72.43 |
Dual form | 72.3.p.b.67.9 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.564251 | − | 1.91875i | −0.282126 | − | 0.959377i | ||||
\(3\) | 1.21551 | − | 2.74272i | 0.405170 | − | 0.914241i | ||||
\(4\) | −3.36324 | + | 2.16532i | −0.840810 | + | 0.541330i | ||||
\(5\) | 5.15803 | − | 2.97799i | 1.03161 | − | 0.595598i | 0.114161 | − | 0.993462i | \(-0.463582\pi\) |
0.917444 | + | 0.397864i | \(0.130249\pi\) | |||||||
\(6\) | −5.94847 | − | 0.784682i | −0.991411 | − | 0.130780i | ||||
\(7\) | −4.09037 | − | 2.36158i | −0.584339 | − | 0.337368i | 0.178517 | − | 0.983937i | \(-0.442870\pi\) |
−0.762856 | + | 0.646569i | \(0.776203\pi\) | |||||||
\(8\) | 6.05243 | + | 5.23145i | 0.756554 | + | 0.653931i | ||||
\(9\) | −6.04507 | − | 6.66762i | −0.671674 | − | 0.740847i | ||||
\(10\) | −8.62446 | − | 8.21666i | −0.862446 | − | 0.821666i | ||||
\(11\) | −6.94921 | + | 12.0364i | −0.631746 | + | 1.09422i | 0.355448 | + | 0.934696i | \(0.384328\pi\) |
−0.987195 | + | 0.159521i | \(0.949005\pi\) | |||||||
\(12\) | 1.85082 | + | 11.8564i | 0.154235 | + | 0.988034i | ||||
\(13\) | 4.03163 | − | 2.32766i | 0.310125 | − | 0.179051i | −0.336857 | − | 0.941556i | \(-0.609364\pi\) |
0.646982 | + | 0.762505i | \(0.276031\pi\) | |||||||
\(14\) | −2.22329 | + | 9.18095i | −0.158806 | + | 0.655782i | ||||
\(15\) | −1.89816 | − | 17.7668i | −0.126544 | − | 1.18446i | ||||
\(16\) | 6.62277 | − | 14.5650i | 0.413923 | − | 0.910312i | ||||
\(17\) | 21.5221 | 1.26600 | 0.633002 | − | 0.774150i | \(-0.281822\pi\) | ||||
0.633002 | + | 0.774150i | \(0.281822\pi\) | |||||||
\(18\) | −9.38260 | + | 15.3612i | −0.521255 | + | 0.853401i | ||||
\(19\) | 3.83672 | 0.201933 | 0.100966 | − | 0.994890i | \(-0.467807\pi\) | ||||
0.100966 | + | 0.994890i | \(0.467807\pi\) | |||||||
\(20\) | −10.8994 | + | 21.1845i | −0.544969 | + | 1.05922i | ||||
\(21\) | −11.4491 | + | 8.34824i | −0.545193 | + | 0.397535i | ||||
\(22\) | 27.0160 | + | 6.54228i | 1.22800 | + | 0.297376i | ||||
\(23\) | 30.0178 | − | 17.3308i | 1.30512 | − | 0.753513i | 0.323845 | − | 0.946110i | \(-0.395024\pi\) |
0.981278 | + | 0.192597i | \(0.0616910\pi\) | |||||||
\(24\) | 21.7052 | − | 10.2413i | 0.904384 | − | 0.426719i | ||||
\(25\) | 5.23684 | − | 9.07047i | 0.209474 | − | 0.362819i | ||||
\(26\) | −6.74106 | − | 6.42232i | −0.259272 | − | 0.247012i | ||||
\(27\) | −25.6353 | + | 8.47537i | −0.949455 | + | 0.313903i | ||||
\(28\) | 18.8705 | − | 0.914414i | 0.673946 | − | 0.0326577i | ||||
\(29\) | 39.3950 | + | 22.7447i | 1.35845 | + | 0.784300i | 0.989415 | − | 0.145116i | \(-0.0463556\pi\) |
0.369033 | + | 0.929416i | \(0.379689\pi\) | |||||||
\(30\) | −33.0191 | + | 13.6671i | −1.10064 | + | 0.455569i | ||||
\(31\) | −31.8750 | + | 18.4030i | −1.02822 | + | 0.593646i | −0.916476 | − | 0.400091i | \(-0.868979\pi\) |
−0.111749 | + | 0.993736i | \(0.535645\pi\) | |||||||
\(32\) | −31.6836 | − | 4.48916i | −0.990111 | − | 0.140286i | ||||
\(33\) | 24.5656 | + | 33.6901i | 0.744413 | + | 1.02091i | ||||
\(34\) | −12.1439 | − | 41.2956i | −0.357172 | − | 1.21458i | ||||
\(35\) | −28.1310 | −0.803743 | ||||||||
\(36\) | 34.7685 | + | 9.33531i | 0.965793 | + | 0.259314i | ||||
\(37\) | 36.0613i | 0.974630i | 0.873226 | + | 0.487315i | \(0.162024\pi\) | ||||
−0.873226 | + | 0.487315i | \(0.837976\pi\) | |||||||
\(38\) | −2.16488 | − | 7.36173i | −0.0569704 | − | 0.193730i | ||||
\(39\) | −1.48364 | − | 13.8869i | −0.0380421 | − | 0.356075i | ||||
\(40\) | 46.7978 | + | 8.95988i | 1.16995 | + | 0.223997i | ||||
\(41\) | −10.2409 | − | 17.7377i | −0.249777 | − | 0.432627i | 0.713687 | − | 0.700465i | \(-0.247024\pi\) |
−0.963464 | + | 0.267838i | \(0.913691\pi\) | |||||||
\(42\) | 22.4784 | + | 17.2574i | 0.535199 | + | 0.410891i | ||||
\(43\) | 3.50522 | − | 6.07122i | 0.0815167 | − | 0.141191i | −0.822385 | − | 0.568932i | \(-0.807357\pi\) |
0.903902 | + | 0.427740i | \(0.140690\pi\) | |||||||
\(44\) | −2.69077 | − | 55.5285i | −0.0611538 | − | 1.26201i | ||||
\(45\) | −51.0367 | − | 16.3896i | −1.13415 | − | 0.364214i | ||||
\(46\) | −50.1912 | − | 47.8179i | −1.09111 | − | 1.03952i | ||||
\(47\) | −53.1514 | − | 30.6870i | −1.13088 | − | 0.652914i | −0.186724 | − | 0.982412i | \(-0.559787\pi\) |
−0.944156 | + | 0.329499i | \(0.893120\pi\) | |||||||
\(48\) | −31.8977 | − | 35.8683i | −0.664535 | − | 0.747257i | ||||
\(49\) | −13.3459 | − | 23.1158i | −0.272365 | − | 0.471750i | ||||
\(50\) | −20.3589 | − | 4.93018i | −0.407178 | − | 0.0986037i | ||||
\(51\) | 26.1603 | − | 59.0291i | 0.512947 | − | 1.15743i | ||||
\(52\) | −8.51920 | + | 16.5582i | −0.163831 | + | 0.318428i | ||||
\(53\) | 58.7545i | 1.10858i | 0.832325 | + | 0.554288i | \(0.187009\pi\) | ||||
−0.832325 | + | 0.554288i | \(0.812991\pi\) | |||||||
\(54\) | 30.7269 | + | 44.4056i | 0.569017 | + | 0.822326i | ||||
\(55\) | 82.7787i | 1.50507i | ||||||||
\(56\) | −12.4022 | − | 35.6919i | −0.221468 | − | 0.637355i | ||||
\(57\) | 4.66358 | − | 10.5231i | 0.0818171 | − | 0.184615i | ||||
\(58\) | 21.4128 | − | 88.4230i | 0.369187 | − | 1.52454i | ||||
\(59\) | 11.0410 | + | 19.1235i | 0.187135 | + | 0.324127i | 0.944294 | − | 0.329104i | \(-0.106747\pi\) |
−0.757159 | + | 0.653231i | \(0.773413\pi\) | |||||||
\(60\) | 44.8548 | + | 55.6440i | 0.747581 | + | 0.927400i | ||||
\(61\) | −47.1047 | − | 27.1959i | −0.772209 | − | 0.445835i | 0.0614532 | − | 0.998110i | \(-0.480427\pi\) |
−0.833662 | + | 0.552275i | \(0.813760\pi\) | |||||||
\(62\) | 53.2964 | + | 50.7763i | 0.859619 | + | 0.818973i | ||||
\(63\) | 8.98046 | + | 41.5490i | 0.142547 | + | 0.659507i | ||||
\(64\) | 9.26389 | + | 63.3260i | 0.144748 | + | 0.989469i | ||||
\(65\) | 13.8635 | − | 24.0123i | 0.213285 | − | 0.369420i | ||||
\(66\) | 50.7819 | − | 66.1451i | 0.769422 | − | 1.00220i | ||||
\(67\) | 56.9612 | + | 98.6596i | 0.850167 | + | 1.47253i | 0.881058 | + | 0.473009i | \(0.156832\pi\) |
−0.0308908 | + | 0.999523i | \(0.509834\pi\) | |||||||
\(68\) | −72.3839 | + | 46.6022i | −1.06447 | + | 0.685326i | ||||
\(69\) | −11.0466 | − | 103.396i | −0.160096 | − | 1.49850i | ||||
\(70\) | 15.8730 | + | 53.9765i | 0.226757 | + | 0.771093i | ||||
\(71\) | 8.30318i | 0.116946i | 0.998289 | + | 0.0584731i | \(0.0186232\pi\) | ||||
−0.998289 | + | 0.0584731i | \(0.981377\pi\) | |||||||
\(72\) | −1.70603 | − | 71.9798i | −0.0236948 | − | 0.999719i | ||||
\(73\) | −114.051 | −1.56234 | −0.781172 | − | 0.624316i | \(-0.785378\pi\) | ||||
−0.781172 | + | 0.624316i | \(0.785378\pi\) | |||||||
\(74\) | 69.1928 | − | 20.3476i | 0.935038 | − | 0.274968i | ||||
\(75\) | −18.5124 | − | 25.3885i | −0.246831 | − | 0.338513i | ||||
\(76\) | −12.9038 | + | 8.30773i | −0.169787 | + | 0.109312i | ||||
\(77\) | 56.8497 | − | 32.8222i | 0.738308 | − | 0.426262i | ||||
\(78\) | −25.8085 | + | 10.6825i | −0.330878 | + | 0.136955i | ||||
\(79\) | 47.5352 | + | 27.4445i | 0.601712 | + | 0.347399i | 0.769715 | − | 0.638388i | \(-0.220398\pi\) |
−0.168003 | + | 0.985787i | \(0.553732\pi\) | |||||||
\(80\) | −9.21392 | − | 94.8492i | −0.115174 | − | 1.18561i | ||||
\(81\) | −7.91437 | + | 80.6124i | −0.0977083 | + | 0.995215i | ||||
\(82\) | −28.2559 | + | 29.6582i | −0.344584 | + | 0.361686i | ||||
\(83\) | 15.6347 | − | 27.0802i | 0.188370 | − | 0.326267i | −0.756337 | − | 0.654183i | \(-0.773013\pi\) |
0.944707 | + | 0.327916i | \(0.106346\pi\) | |||||||
\(84\) | 20.4293 | − | 52.8680i | 0.243206 | − | 0.629381i | ||||
\(85\) | 111.011 | − | 64.0925i | 1.30602 | − | 0.754029i | ||||
\(86\) | −13.6270 | − | 3.29996i | −0.158454 | − | 0.0383717i | ||||
\(87\) | 110.267 | − | 80.4031i | 1.26744 | − | 0.924174i | ||||
\(88\) | −105.027 | + | 36.4950i | −1.19349 | + | 0.414715i | ||||
\(89\) | 47.7407 | 0.536413 | 0.268206 | − | 0.963361i | \(-0.413569\pi\) | ||||
0.268206 | + | 0.963361i | \(0.413569\pi\) | |||||||
\(90\) | −2.65017 | + | 107.175i | −0.0294463 | + | 1.19083i | ||||
\(91\) | −21.9878 | −0.241624 | ||||||||
\(92\) | −63.4304 | + | 123.286i | −0.689461 | + | 1.34006i | ||||
\(93\) | 11.7300 | + | 109.793i | 0.126129 | + | 1.18057i | ||||
\(94\) | −28.8900 | + | 119.300i | −0.307340 | + | 1.26914i | ||||
\(95\) | 19.7899 | − | 11.4257i | 0.208315 | − | 0.120271i | ||||
\(96\) | −50.8242 | + | 81.4426i | −0.529419 | + | 0.848360i | ||||
\(97\) | −28.7623 | + | 49.8177i | −0.296518 | + | 0.513585i | −0.975337 | − | 0.220721i | \(-0.929159\pi\) |
0.678819 | + | 0.734306i | \(0.262492\pi\) | |||||||
\(98\) | −36.8231 | + | 38.6506i | −0.375745 | + | 0.394394i | ||||
\(99\) | 122.262 | − | 26.4260i | 1.23497 | − | 0.266929i | ||||
\(100\) | 2.02773 | + | 41.8456i | 0.0202773 | + | 0.418456i | ||||
\(101\) | −114.007 | − | 65.8222i | −1.12879 | − | 0.651705i | −0.185157 | − | 0.982709i | \(-0.559279\pi\) |
−0.943629 | + | 0.331004i | \(0.892613\pi\) | |||||||
\(102\) | −128.023 | − | 16.8880i | −1.25513 | − | 0.165568i | ||||
\(103\) | −37.1176 | + | 21.4299i | −0.360365 | + | 0.208057i | −0.669241 | − | 0.743045i | \(-0.733381\pi\) |
0.308876 | + | 0.951102i | \(0.400047\pi\) | |||||||
\(104\) | 36.5782 | + | 7.00324i | 0.351713 | + | 0.0673388i | ||||
\(105\) | −34.1936 | + | 77.1556i | −0.325653 | + | 0.734815i | ||||
\(106\) | 112.735 | − | 33.1523i | 1.06354 | − | 0.312758i | ||||
\(107\) | −91.6085 | −0.856154 | −0.428077 | − | 0.903742i | \(-0.640809\pi\) | ||||
−0.428077 | + | 0.903742i | \(0.640809\pi\) | |||||||
\(108\) | 67.8657 | − | 84.0133i | 0.628387 | − | 0.777901i | ||||
\(109\) | − | 152.712i | − | 1.40102i | −0.713641 | − | 0.700512i | \(-0.752955\pi\) | ||
0.713641 | − | 0.700512i | \(-0.247045\pi\) | |||||||
\(110\) | 158.832 | − | 46.7080i | 1.44393 | − | 0.424618i | ||||
\(111\) | 98.9062 | + | 43.8329i | 0.891046 | + | 0.394891i | ||||
\(112\) | −61.4860 | + | 43.9360i | −0.548982 | + | 0.392286i | ||||
\(113\) | 8.45762 | + | 14.6490i | 0.0748462 | + | 0.129637i | 0.901019 | − | 0.433779i | \(-0.142820\pi\) |
−0.826173 | + | 0.563416i | \(0.809487\pi\) | |||||||
\(114\) | −22.8226 | − | 3.01061i | −0.200198 | − | 0.0264088i | ||||
\(115\) | 103.222 | − | 178.786i | 0.897582 | − | 1.55466i | ||||
\(116\) | −181.744 | + | 8.80686i | −1.56676 | + | 0.0759212i | ||||
\(117\) | −39.8914 | − | 12.8105i | −0.340952 | − | 0.109491i | ||||
\(118\) | 30.4634 | − | 31.9754i | 0.258165 | − | 0.270978i | ||||
\(119\) | −88.0333 | − | 50.8261i | −0.739776 | − | 0.427110i | ||||
\(120\) | 81.4578 | − | 117.463i | 0.678815 | − | 0.978855i | ||||
\(121\) | −36.0830 | − | 62.4976i | −0.298206 | − | 0.516509i | ||||
\(122\) | −25.6034 | + | 105.728i | −0.209864 | + | 0.866621i | ||||
\(123\) | −61.0975 | + | 6.52749i | −0.496727 | + | 0.0530690i | ||||
\(124\) | 67.3547 | − | 130.913i | 0.543183 | − | 1.05575i | ||||
\(125\) | 86.5185i | 0.692148i | ||||||||
\(126\) | 74.6550 | − | 40.6754i | 0.592500 | − | 0.322820i | ||||
\(127\) | − | 144.231i | − | 1.13568i | −0.823140 | − | 0.567839i | \(-0.807780\pi\) | ||
0.823140 | − | 0.567839i | \(-0.192220\pi\) | |||||||
\(128\) | 116.280 | − | 53.5069i | 0.908437 | − | 0.418023i | ||||
\(129\) | −12.3910 | − | 16.9935i | −0.0960546 | − | 0.131732i | ||||
\(130\) | −53.8962 | − | 13.0517i | −0.414586 | − | 0.100398i | ||||
\(131\) | 8.71188 | + | 15.0894i | 0.0665029 | + | 0.115186i | 0.897360 | − | 0.441300i | \(-0.145482\pi\) |
−0.830857 | + | 0.556486i | \(0.812149\pi\) | |||||||
\(132\) | −155.570 | − | 60.1155i | −1.17856 | − | 0.455420i | ||||
\(133\) | −15.6936 | − | 9.06072i | −0.117997 | − | 0.0681257i | ||||
\(134\) | 157.163 | − | 164.963i | 1.17286 | − | 1.23107i | ||||
\(135\) | −106.988 | + | 120.058i | −0.792504 | + | 0.889317i | ||||
\(136\) | 130.261 | + | 112.592i | 0.957801 | + | 0.827879i | ||||
\(137\) | 46.5748 | − | 80.6699i | 0.339962 | − | 0.588831i | −0.644463 | − | 0.764635i | \(-0.722919\pi\) |
0.984425 | + | 0.175804i | \(0.0562525\pi\) | |||||||
\(138\) | −192.159 | + | 79.5373i | −1.39246 | + | 0.576357i | ||||
\(139\) | 22.0873 | + | 38.2563i | 0.158902 | + | 0.275226i | 0.934473 | − | 0.356034i | \(-0.115871\pi\) |
−0.775571 | + | 0.631260i | \(0.782538\pi\) | |||||||
\(140\) | 94.6114 | − | 60.9127i | 0.675796 | − | 0.435091i | ||||
\(141\) | −148.772 | + | 108.479i | −1.05512 | + | 0.769356i | ||||
\(142\) | 15.9318 | − | 4.68508i | 0.112196 | − | 0.0329935i | ||||
\(143\) | 64.7016i | 0.452459i | ||||||||
\(144\) | −137.149 | + | 43.8881i | −0.952423 | + | 0.304779i | ||||
\(145\) | 270.934 | 1.86851 | ||||||||
\(146\) | 64.3535 | + | 218.836i | 0.440777 | + | 1.49888i | ||||
\(147\) | −79.6222 | + | 8.50663i | −0.541648 | + | 0.0578682i | ||||
\(148\) | −78.0843 | − | 121.283i | −0.527596 | − | 0.819478i | ||||
\(149\) | −27.3905 | + | 15.8139i | −0.183829 | + | 0.106134i | −0.589090 | − | 0.808067i | \(-0.700514\pi\) |
0.405261 | + | 0.914201i | \(0.367180\pi\) | |||||||
\(150\) | −38.2686 | + | 49.8462i | −0.255124 | + | 0.332308i | ||||
\(151\) | −15.3552 | − | 8.86531i | −0.101690 | − | 0.0587106i | 0.448293 | − | 0.893887i | \(-0.352032\pi\) |
−0.549982 | + | 0.835176i | \(0.685366\pi\) | |||||||
\(152\) | 23.2215 | + | 20.0716i | 0.152773 | + | 0.132050i | ||||
\(153\) | −130.102 | − | 143.501i | −0.850342 | − | 0.937915i | ||||
\(154\) | −95.0553 | − | 90.5607i | −0.617242 | − | 0.588056i | ||||
\(155\) | −109.608 | + | 189.847i | −0.707148 | + | 1.22482i | ||||
\(156\) | 35.0595 | + | 43.4925i | 0.224740 | + | 0.278798i | ||||
\(157\) | 76.4244 | − | 44.1236i | 0.486780 | − | 0.281042i | −0.236458 | − | 0.971642i | \(-0.575987\pi\) |
0.723237 | + | 0.690599i | \(0.242653\pi\) | |||||||
\(158\) | 25.8374 | − | 106.694i | 0.163528 | − | 0.675279i | ||||
\(159\) | 161.147 | + | 71.4168i | 1.01351 | + | 0.449162i | ||||
\(160\) | −176.793 | + | 71.1980i | −1.10496 | + | 0.444988i | ||||
\(161\) | −163.712 | −1.01685 | ||||||||
\(162\) | 159.141 | − | 30.2999i | 0.982353 | − | 0.187037i | ||||
\(163\) | 33.8559 | 0.207705 | 0.103852 | − | 0.994593i | \(-0.466883\pi\) | ||||
0.103852 | + | 0.994593i | \(0.466883\pi\) | |||||||
\(164\) | 72.8503 | + | 37.4814i | 0.444209 | + | 0.228545i | ||||
\(165\) | 227.039 | + | 100.618i | 1.37599 | + | 0.609808i | ||||
\(166\) | −60.7821 | − | 14.7192i | −0.366157 | − | 0.0886699i | ||||
\(167\) | −50.0218 | + | 28.8801i | −0.299531 | + | 0.172935i | −0.642232 | − | 0.766510i | \(-0.721992\pi\) |
0.342701 | + | 0.939445i | \(0.388658\pi\) | |||||||
\(168\) | −112.968 | − | 9.36797i | −0.672429 | − | 0.0557617i | ||||
\(169\) | −73.6640 | + | 127.590i | −0.435882 | + | 0.754969i | ||||
\(170\) | −185.616 | − | 176.839i | −1.09186 | − | 1.04023i | ||||
\(171\) | −23.1932 | − | 25.5818i | −0.135633 | − | 0.149601i | ||||
\(172\) | 1.35724 | + | 28.0089i | 0.00789092 | + | 0.162842i | ||||
\(173\) | −15.6471 | − | 9.03387i | −0.0904458 | − | 0.0522189i | 0.454095 | − | 0.890953i | \(-0.349963\pi\) |
−0.544541 | + | 0.838734i | \(0.683296\pi\) | |||||||
\(174\) | −216.492 | − | 166.209i | −1.24421 | − | 0.955222i | ||||
\(175\) | −42.8413 | + | 24.7344i | −0.244807 | + | 0.141340i | ||||
\(176\) | 129.287 | + | 180.929i | 0.734584 | + | 1.02801i | ||||
\(177\) | 65.8709 | − | 7.03747i | 0.372152 | − | 0.0397597i | ||||
\(178\) | −26.9378 | − | 91.6028i | −0.151336 | − | 0.514622i | ||||
\(179\) | 264.511 | 1.47771 | 0.738857 | − | 0.673862i | \(-0.235366\pi\) | ||||
0.738857 | + | 0.673862i | \(0.235366\pi\) | |||||||
\(180\) | 207.138 | − | 55.3885i | 1.15076 | − | 0.307714i | ||||
\(181\) | 185.479i | 1.02475i | 0.858762 | + | 0.512374i | \(0.171234\pi\) | ||||
−0.858762 | + | 0.512374i | \(0.828766\pi\) | |||||||
\(182\) | 12.4067 | + | 42.1892i | 0.0681684 | + | 0.231809i | ||||
\(183\) | −131.847 | + | 96.1383i | −0.720477 | + | 0.525346i | ||||
\(184\) | 272.346 | + | 52.1432i | 1.48014 | + | 0.283387i | ||||
\(185\) | 107.390 | + | 186.005i | 0.580487 | + | 1.00543i | ||||
\(186\) | 204.048 | − | 84.4581i | 1.09703 | − | 0.454076i | ||||
\(187\) | −149.561 | + | 259.048i | −0.799793 | + | 1.38528i | ||||
\(188\) | 245.208 | − | 11.8821i | 1.30430 | − | 0.0632028i | ||||
\(189\) | 124.873 | + | 25.8723i | 0.660705 | + | 0.136890i | ||||
\(190\) | −33.0896 | − | 31.5250i | −0.174156 | − | 0.165921i | ||||
\(191\) | −79.8243 | − | 46.0866i | −0.417928 | − | 0.241291i | 0.276262 | − | 0.961082i | \(-0.410904\pi\) |
−0.694191 | + | 0.719791i | \(0.744237\pi\) | |||||||
\(192\) | 184.946 | + | 51.5652i | 0.963261 | + | 0.268569i | ||||
\(193\) | −135.169 | − | 234.120i | −0.700359 | − | 1.21306i | −0.968341 | − | 0.249633i | \(-0.919690\pi\) |
0.267982 | − | 0.963424i | \(-0.413643\pi\) | |||||||
\(194\) | 111.817 | + | 27.0780i | 0.576377 | + | 0.139578i | ||||
\(195\) | −49.0078 | − | 67.2109i | −0.251322 | − | 0.344671i | ||||
\(196\) | 94.9385 | + | 48.8457i | 0.484380 | + | 0.249213i | ||||
\(197\) | 140.218i | 0.711765i | 0.934531 | + | 0.355883i | \(0.115820\pi\) | ||||
−0.934531 | + | 0.355883i | \(0.884180\pi\) | |||||||
\(198\) | −119.692 | − | 219.681i | −0.604504 | − | 1.10950i | ||||
\(199\) | − | 272.949i | − | 1.37160i | −0.727788 | − | 0.685802i | \(-0.759452\pi\) | ||
0.727788 | − | 0.685802i | \(-0.240548\pi\) | |||||||
\(200\) | 79.1473 | − | 27.5022i | 0.395737 | − | 0.137511i | ||||
\(201\) | 339.833 | − | 36.3068i | 1.69071 | − | 0.180631i | ||||
\(202\) | −61.9678 | + | 255.893i | −0.306771 | + | 1.26679i | ||||
\(203\) | −107.427 | − | 186.069i | −0.529196 | − | 0.916594i | ||||
\(204\) | 39.8335 | + | 255.174i | 0.195262 | + | 1.25086i | ||||
\(205\) | −105.645 | − | 60.9944i | −0.515343 | − | 0.297533i | ||||
\(206\) | 62.0623 | + | 59.1278i | 0.301273 | + | 0.287028i | ||||
\(207\) | −297.015 | − | 95.3817i | −1.43486 | − | 0.460781i | ||||
\(208\) | −7.20180 | − | 74.1361i | −0.0346240 | − | 0.356424i | ||||
\(209\) | −26.6622 | + | 46.1802i | −0.127570 | + | 0.220958i | ||||
\(210\) | 167.336 | + | 22.0739i | 0.796840 | + | 0.105114i | ||||
\(211\) | −64.2535 | − | 111.290i | −0.304519 | − | 0.527443i | 0.672635 | − | 0.739974i | \(-0.265162\pi\) |
−0.977154 | + | 0.212532i | \(0.931829\pi\) | |||||||
\(212\) | −127.222 | − | 197.606i | −0.600105 | − | 0.932102i | ||||
\(213\) | 22.7733 | + | 10.0926i | 0.106917 | + | 0.0473831i | ||||
\(214\) | 51.6902 | + | 175.774i | 0.241543 | + | 0.821375i | ||||
\(215\) | − | 41.7540i | − | 0.194205i | ||||||
\(216\) | −199.494 | − | 82.8131i | −0.923585 | − | 0.383394i | ||||
\(217\) | 173.841 | 0.801109 | ||||||||
\(218\) | −293.016 | + | 86.1677i | −1.34411 | + | 0.395265i | ||||
\(219\) | −138.630 | + | 312.811i | −0.633015 | + | 1.42836i | ||||
\(220\) | −179.242 | − | 278.405i | −0.814738 | − | 1.26548i | ||||
\(221\) | 86.7689 | − | 50.0961i | 0.392620 | − | 0.226679i | ||||
\(222\) | 28.2967 | − | 214.509i | 0.127462 | − | 0.966259i | ||||
\(223\) | 251.240 | + | 145.054i | 1.12664 | + | 0.650465i | 0.943087 | − | 0.332546i | \(-0.107908\pi\) |
0.183551 | + | 0.983010i | \(0.441241\pi\) | |||||||
\(224\) | 118.996 | + | 93.1855i | 0.531232 | + | 0.416007i | ||||
\(225\) | −92.1355 | + | 19.9143i | −0.409491 | + | 0.0885081i | ||||
\(226\) | 23.3357 | − | 24.4938i | 0.103255 | − | 0.108380i | ||||
\(227\) | 132.263 | − | 229.086i | 0.582656 | − | 1.00919i | −0.412507 | − | 0.910954i | \(-0.635347\pi\) |
0.995163 | − | 0.0982354i | \(-0.0313198\pi\) | |||||||
\(228\) | 7.10108 | + | 45.4897i | 0.0311451 | + | 0.199516i | ||||
\(229\) | −143.260 | + | 82.7110i | −0.625588 | + | 0.361183i | −0.779041 | − | 0.626973i | \(-0.784294\pi\) |
0.153454 | + | 0.988156i | \(0.450960\pi\) | |||||||
\(230\) | −401.289 | − | 97.1775i | −1.74473 | − | 0.422511i | ||||
\(231\) | −20.9208 | − | 195.819i | −0.0905660 | − | 0.847700i | ||||
\(232\) | 119.448 | + | 343.754i | 0.514861 | + | 1.48170i | ||||
\(233\) | 163.520 | 0.701803 | 0.350902 | − | 0.936412i | \(-0.385875\pi\) | ||||
0.350902 | + | 0.936412i | \(0.385875\pi\) | |||||||
\(234\) | −2.07143 | + | 83.7702i | −0.00885225 | + | 0.357992i | ||||
\(235\) | −365.542 | −1.55550 | ||||||||
\(236\) | −78.5419 | − | 40.4097i | −0.332805 | − | 0.171228i | ||||
\(237\) | 133.052 | − | 97.0170i | 0.561402 | − | 0.409354i | ||||
\(238\) | −47.8498 | + | 197.593i | −0.201050 | + | 0.830223i | ||||
\(239\) | 79.7160 | − | 46.0240i | 0.333540 | − | 0.192569i | −0.323872 | − | 0.946101i | \(-0.604985\pi\) |
0.657412 | + | 0.753532i | \(0.271651\pi\) | |||||||
\(240\) | −271.345 | − | 90.0190i | −1.13060 | − | 0.375079i | ||||
\(241\) | 16.0255 | − | 27.7570i | 0.0664958 | − | 0.115174i | −0.830861 | − | 0.556480i | \(-0.812151\pi\) |
0.897357 | + | 0.441306i | \(0.145485\pi\) | |||||||
\(242\) | −99.5576 | + | 104.499i | −0.411395 | + | 0.431813i | ||||
\(243\) | 211.478 | + | 119.692i | 0.870278 | + | 0.492561i | ||||
\(244\) | 217.312 | − | 10.5304i | 0.890625 | − | 0.0431573i | ||||
\(245\) | −137.677 | − | 79.4879i | −0.561947 | − | 0.324440i | ||||
\(246\) | 46.9990 | + | 113.548i | 0.191053 | + | 0.461577i | ||||
\(247\) | 15.4682 | − | 8.93058i | 0.0626244 | − | 0.0361562i | ||||
\(248\) | −289.196 | − | 55.3692i | −1.16611 | − | 0.223263i | ||||
\(249\) | −55.2692 | − | 75.7980i | −0.221965 | − | 0.304410i | ||||
\(250\) | 166.008 | − | 48.8182i | 0.664031 | − | 0.195273i | ||||
\(251\) | −108.956 | −0.434088 | −0.217044 | − | 0.976162i | \(-0.569641\pi\) | ||||
−0.217044 | + | 0.976162i | \(0.569641\pi\) | |||||||
\(252\) | −120.170 | − | 120.294i | −0.476866 | − | 0.477355i | ||||
\(253\) | 481.741i | 1.90412i | ||||||||
\(254\) | −276.744 | + | 81.3826i | −1.08954 | + | 0.320404i | ||||
\(255\) | −40.8523 | − | 382.379i | −0.160205 | − | 1.49952i | ||||
\(256\) | −168.278 | − | 192.921i | −0.657335 | − | 0.753599i | ||||
\(257\) | −244.729 | − | 423.883i | −0.952252 | − | 1.64935i | −0.740535 | − | 0.672018i | \(-0.765428\pi\) |
−0.211717 | − | 0.977331i | \(-0.567906\pi\) | |||||||
\(258\) | −25.6147 | + | 33.3640i | −0.0992816 | + | 0.129318i | ||||
\(259\) | 85.1616 | − | 147.504i | 0.328809 | − | 0.569514i | ||||
\(260\) | 5.36801 | + | 110.778i | 0.0206462 | + | 0.426069i | ||||
\(261\) | −86.4921 | − | 400.164i | −0.331388 | − | 1.53320i | ||||
\(262\) | 24.0372 | − | 25.2302i | 0.0917451 | − | 0.0962984i | ||||
\(263\) | 341.950 | + | 197.425i | 1.30019 | + | 0.750666i | 0.980437 | − | 0.196835i | \(-0.0630662\pi\) |
0.319755 | + | 0.947500i | \(0.396400\pi\) | |||||||
\(264\) | −27.5663 | + | 332.421i | −0.104418 | + | 1.25917i | ||||
\(265\) | 174.970 | + | 303.057i | 0.660265 | + | 1.14361i | ||||
\(266\) | −8.53015 | + | 35.2247i | −0.0320682 | + | 0.132424i | ||||
\(267\) | 58.0294 | − | 130.940i | 0.217339 | − | 0.490411i | ||||
\(268\) | −405.204 | − | 208.477i | −1.51195 | − | 0.777899i | ||||
\(269\) | − | 359.184i | − | 1.33526i | −0.744494 | − | 0.667629i | \(-0.767309\pi\) | ||
0.744494 | − | 0.667629i | \(-0.232691\pi\) | |||||||
\(270\) | 290.730 | + | 137.541i | 1.07678 | + | 0.509411i | ||||
\(271\) | − | 223.217i | − | 0.823680i | −0.911256 | − | 0.411840i | \(-0.864886\pi\) | ||
0.911256 | − | 0.411840i | \(-0.135114\pi\) | |||||||
\(272\) | 142.536 | − | 313.469i | 0.524029 | − | 1.15246i | ||||
\(273\) | −26.7264 | + | 60.3065i | −0.0978990 | + | 0.220903i | ||||
\(274\) | −181.066 | − | 43.8475i | −0.660824 | − | 0.160027i | ||||
\(275\) | 72.7838 | + | 126.065i | 0.264668 | + | 0.458419i | ||||
\(276\) | 261.039 | + | 323.828i | 0.945792 | + | 1.17329i | ||||
\(277\) | 111.426 | + | 64.3319i | 0.402260 | + | 0.232245i | 0.687459 | − | 0.726223i | \(-0.258726\pi\) |
−0.285198 | + | 0.958468i | \(0.592060\pi\) | |||||||
\(278\) | 60.9418 | − | 63.9663i | 0.219215 | − | 0.230095i | ||||
\(279\) | 315.391 | + | 101.283i | 1.13043 | + | 0.363021i | ||||
\(280\) | −170.261 | − | 147.166i | −0.608075 | − | 0.525593i | ||||
\(281\) | −169.623 | + | 293.796i | −0.603642 | + | 1.04554i | 0.388622 | + | 0.921397i | \(0.372951\pi\) |
−0.992264 | + | 0.124142i | \(0.960382\pi\) | |||||||
\(282\) | 292.090 | + | 224.247i | 1.03578 | + | 0.795203i | ||||
\(283\) | 8.66907 | + | 15.0153i | 0.0306327 | + | 0.0530575i | 0.880935 | − | 0.473237i | \(-0.156914\pi\) |
−0.850303 | + | 0.526294i | \(0.823581\pi\) | |||||||
\(284\) | −17.9790 | − | 27.9256i | −0.0633065 | − | 0.0983295i | ||||
\(285\) | −7.28271 | − | 68.1663i | −0.0255534 | − | 0.239180i | ||||
\(286\) | 124.146 | − | 36.5080i | 0.434079 | − | 0.127650i | ||||
\(287\) | 96.7384i | 0.337068i | ||||||||
\(288\) | 161.597 | + | 238.391i | 0.561101 | + | 0.827747i | ||||
\(289\) | 174.199 | 0.602766 | ||||||||
\(290\) | −152.875 | − | 519.856i | −0.527155 | − | 1.79261i | ||||
\(291\) | 101.675 | + | 139.441i | 0.349400 | + | 0.479179i | ||||
\(292\) | 383.581 | − | 246.957i | 1.31363 | − | 0.845744i | ||||
\(293\) | 136.021 | − | 78.5318i | 0.464235 | − | 0.268026i | −0.249588 | − | 0.968352i | \(-0.580295\pi\) |
0.713824 | + | 0.700326i | \(0.246962\pi\) | |||||||
\(294\) | 61.2491 | + | 147.976i | 0.208330 | + | 0.503319i | ||||
\(295\) | 113.899 | + | 65.7597i | 0.386099 | + | 0.222914i | ||||
\(296\) | −188.653 | + | 218.259i | −0.637341 | + | 0.737360i | ||||
\(297\) | 76.1321 | − | 367.453i | 0.256337 | − | 1.23722i | ||||
\(298\) | 45.7982 | + | 43.6327i | 0.153685 | + | 0.146418i | ||||
\(299\) | 80.6804 | − | 139.743i | 0.269834 | − | 0.467367i | ||||
\(300\) | 117.236 | + | 45.3023i | 0.390786 | + | 0.151008i | ||||
\(301\) | −28.6753 | + | 16.5557i | −0.0952668 | + | 0.0550023i | ||||
\(302\) | −8.34618 | + | 34.4651i | −0.0276364 | + | 0.114123i | ||||
\(303\) | −319.109 | + | 232.683i | −1.05317 | + | 0.767931i | ||||
\(304\) | 25.4097 | − | 55.8818i | 0.0835846 | − | 0.183822i | ||||
\(305\) | −323.957 | −1.06215 | ||||||||
\(306\) | −201.933 | + | 330.605i | −0.659911 | + | 1.08041i | ||||
\(307\) | −41.8176 | −0.136214 | −0.0681069 | − | 0.997678i | \(-0.521696\pi\) | ||||
−0.0681069 | + | 0.997678i | \(0.521696\pi\) | |||||||
\(308\) | −120.129 | + | 233.487i | −0.390028 | + | 0.758074i | ||||
\(309\) | 13.6593 | + | 127.852i | 0.0442049 | + | 0.413759i | ||||
\(310\) | 426.116 | + | 103.190i | 1.37457 | + | 0.332870i | ||||
\(311\) | 40.6974 | − | 23.4966i | 0.130860 | − | 0.0755519i | −0.433141 | − | 0.901326i | \(-0.642595\pi\) |
0.564001 | + | 0.825774i | \(0.309261\pi\) | |||||||
\(312\) | 63.6691 | − | 91.8113i | 0.204068 | − | 0.294267i | ||||
\(313\) | −183.527 | + | 317.878i | −0.586349 | + | 1.01559i | 0.408357 | + | 0.912822i | \(0.366102\pi\) |
−0.994706 | + | 0.102763i | \(0.967232\pi\) | |||||||
\(314\) | −127.785 | − | 121.743i | −0.406959 | − | 0.387716i | ||||
\(315\) | 170.054 | + | 187.567i | 0.539853 | + | 0.595451i | ||||
\(316\) | −219.299 | + | 10.6266i | −0.693983 | + | 0.0336286i | ||||
\(317\) | 67.3034 | + | 38.8576i | 0.212313 | + | 0.122579i | 0.602386 | − | 0.798205i | \(-0.294217\pi\) |
−0.390073 | + | 0.920784i | \(0.627550\pi\) | |||||||
\(318\) | 46.1036 | − | 349.499i | 0.144980 | − | 1.09905i | ||||
\(319\) | −547.528 | + | 316.115i | −1.71639 | + | 0.990957i | ||||
\(320\) | 236.367 | + | 299.049i | 0.738648 | + | 0.934530i | ||||
\(321\) | −111.351 | + | 251.257i | −0.346888 | + | 0.782731i | ||||
\(322\) | 92.3748 | + | 314.124i | 0.286878 | + | 0.975539i | ||||
\(323\) | 82.5742 | 0.255648 | ||||||||
\(324\) | −147.934 | − | 288.256i | −0.456586 | − | 0.889679i | ||||
\(325\) | − | 48.7583i | − | 0.150026i | ||||||
\(326\) | −19.1032 | − | 64.9611i | −0.0585988 | − | 0.199267i | ||||
\(327\) | −418.846 | − | 185.623i | −1.28087 | − | 0.567653i | ||||
\(328\) | 30.8117 | − | 160.931i | 0.0939381 | − | 0.490643i | ||||
\(329\) | 144.939 | + | 251.042i | 0.440545 | + | 0.763046i | ||||
\(330\) | 64.9549 | − | 492.406i | 0.196833 | − | 1.49214i | ||||
\(331\) | 251.153 | − | 435.010i | 0.758771 | − | 1.31423i | −0.184707 | − | 0.982794i | \(-0.559134\pi\) |
0.943478 | − | 0.331436i | \(-0.107533\pi\) | |||||||
\(332\) | 6.05384 | + | 124.931i | 0.0182345 | + | 0.376299i | ||||
\(333\) | 240.443 | − | 217.993i | 0.722051 | − | 0.654633i | ||||
\(334\) | 83.6386 | + | 79.6839i | 0.250415 | + | 0.238574i | ||||
\(335\) | 587.615 | + | 339.259i | 1.75407 | + | 1.01271i | ||||
\(336\) | 45.7675 | + | 222.044i | 0.136213 | + | 0.660845i | ||||
\(337\) | 23.0951 | + | 40.0018i | 0.0685314 | + | 0.118700i | 0.898255 | − | 0.439475i | \(-0.144835\pi\) |
−0.829724 | + | 0.558174i | \(0.811502\pi\) | |||||||
\(338\) | 286.379 | + | 69.3504i | 0.847274 | + | 0.205179i | ||||
\(339\) | 50.4585 | − | 5.39085i | 0.148845 | − | 0.0159022i | ||||
\(340\) | −234.577 | + | 455.934i | −0.689934 | + | 1.34098i | ||||
\(341\) | − | 511.546i | − | 1.50013i | ||||||
\(342\) | −35.9984 | + | 58.9367i | −0.105258 | + | 0.172329i | ||||
\(343\) | 357.504i | 1.04229i | ||||||||
\(344\) | 52.9764 | − | 18.4083i | 0.154001 | − | 0.0535124i | ||||
\(345\) | −364.892 | − | 500.425i | −1.05766 | − | 1.45051i | ||||
\(346\) | −8.50487 | + | 35.1204i | −0.0245805 | + | 0.101504i | ||||
\(347\) | 127.082 | + | 220.112i | 0.366230 | + | 0.634329i | 0.988973 | − | 0.148097i | \(-0.0473149\pi\) |
−0.622743 | + | 0.782427i | \(0.713982\pi\) | |||||||
\(348\) | −196.758 | + | 509.179i | −0.565395 | + | 1.46316i | ||||
\(349\) | −213.501 | − | 123.265i | −0.611750 | − | 0.353194i | 0.161900 | − | 0.986807i | \(-0.448238\pi\) |
−0.773650 | + | 0.633613i | \(0.781571\pi\) | |||||||
\(350\) | 71.6325 | + | 68.2454i | 0.204664 | + | 0.194987i | ||||
\(351\) | −83.6241 | + | 93.8398i | −0.238245 | + | 0.267350i | ||||
\(352\) | 274.209 | − | 350.159i | 0.779002 | − | 0.994770i | ||||
\(353\) | −76.3516 | + | 132.245i | −0.216293 | + | 0.374631i | −0.953672 | − | 0.300849i | \(-0.902730\pi\) |
0.737379 | + | 0.675480i | \(0.236063\pi\) | |||||||
\(354\) | −50.6709 | − | 122.419i | −0.143138 | − | 0.345817i | ||||
\(355\) | 24.7268 | + | 42.8280i | 0.0696529 | + | 0.120642i | ||||
\(356\) | −160.564 | + | 103.374i | −0.451021 | + | 0.290376i | ||||
\(357\) | −246.407 | + | 179.671i | −0.690216 | + | 0.503281i | ||||
\(358\) | −149.251 | − | 507.532i | −0.416901 | − | 1.41769i | ||||
\(359\) | 343.066i | 0.955615i | 0.878465 | + | 0.477807i | \(0.158568\pi\) | ||||
−0.878465 | + | 0.477807i | \(0.841432\pi\) | |||||||
\(360\) | −223.155 | − | 366.193i | −0.619874 | − | 1.01720i | ||||
\(361\) | −346.280 | −0.959223 | ||||||||
\(362\) | 355.889 | − | 104.657i | 0.983120 | − | 0.289108i | ||||
\(363\) | −215.273 | + | 22.9992i | −0.593038 | + | 0.0633586i | ||||
\(364\) | 73.9503 | − | 47.6106i | 0.203160 | − | 0.130798i | ||||
\(365\) | −588.279 | + | 339.643i | −1.61172 | + | 0.930529i | ||||
\(366\) | 258.861 | + | 198.736i | 0.707270 | + | 0.542996i | ||||
\(367\) | −35.7464 | − | 20.6382i | −0.0974016 | − | 0.0562348i | 0.450508 | − | 0.892772i | \(-0.351243\pi\) |
−0.547910 | + | 0.836538i | \(0.684576\pi\) | |||||||
\(368\) | −53.6216 | − | 551.987i | −0.145711 | − | 1.49997i | ||||
\(369\) | −56.3616 | + | 175.508i | −0.152741 | + | 0.475631i | ||||
\(370\) | 296.303 | − | 311.009i | 0.800820 | − | 0.840565i | ||||
\(371\) | 138.753 | − | 240.328i | 0.373998 | − | 0.647784i | ||||
\(372\) | −277.189 | − | 343.862i | −0.745131 | − | 0.924360i | ||||
\(373\) | −93.5900 | + | 54.0342i | −0.250911 | + | 0.144864i | −0.620182 | − | 0.784458i | \(-0.712941\pi\) |
0.369270 | + | 0.929322i | \(0.379608\pi\) | |||||||
\(374\) | 581.439 | + | 140.803i | 1.55465 | + | 0.376480i | ||||
\(375\) | 237.296 | + | 105.164i | 0.632790 | + | 0.280438i | ||||
\(376\) | −161.158 | − | 463.789i | −0.428611 | − | 1.23348i | ||||
\(377\) | 211.768 | 0.561718 | ||||||||
\(378\) | −20.8173 | − | 254.199i | −0.0550721 | − | 0.672485i | ||||
\(379\) | −290.232 | −0.765783 | −0.382891 | − | 0.923793i | \(-0.625072\pi\) | ||||
−0.382891 | + | 0.923793i | \(0.625072\pi\) | |||||||
\(380\) | −41.8179 | + | 81.2789i | −0.110047 | + | 0.213892i | ||||
\(381\) | −395.586 | − | 175.315i | −1.03828 | − | 0.460143i | ||||
\(382\) | −43.3879 | + | 179.168i | −0.113581 | + | 0.469025i | ||||
\(383\) | −39.2004 | + | 22.6324i | −0.102351 | + | 0.0590924i | −0.550302 | − | 0.834966i | \(-0.685487\pi\) |
0.447951 | + | 0.894058i | \(0.352154\pi\) | |||||||
\(384\) | −5.41516 | − | 383.962i | −0.0141020 | − | 0.999901i | ||||
\(385\) | 195.488 | − | 338.596i | 0.507762 | − | 0.879469i | ||||
\(386\) | −372.949 | + | 391.459i | −0.966190 | + | 1.01414i | ||||
\(387\) | −61.6699 | + | 13.3294i | −0.159354 | + | 0.0344430i | ||||
\(388\) | −11.1369 | − | 229.829i | −0.0287033 | − | 0.592342i | ||||
\(389\) | 473.733 | + | 273.510i | 1.21782 | + | 0.703110i | 0.964452 | − | 0.264259i | \(-0.0851274\pi\) |
0.253371 | + | 0.967369i | \(0.418461\pi\) | |||||||
\(390\) | −101.309 | + | 131.958i | −0.259766 | + | 0.338353i | ||||
\(391\) | 646.046 | − | 372.995i | 1.65229 | − | 0.953951i | ||||
\(392\) | 40.1538 | − | 209.725i | 0.102433 | − | 0.535013i | ||||
\(393\) | 51.9755 | − | 5.55292i | 0.132253 | − | 0.0141296i | ||||
\(394\) | 269.043 | − | 79.1180i | 0.682851 | − | 0.200807i | ||||
\(395\) | 326.918 | 0.827639 | ||||||||
\(396\) | −353.977 | + | 353.614i | −0.893882 | + | 0.892966i | ||||
\(397\) | 360.883i | 0.909026i | 0.890740 | + | 0.454513i | \(0.150187\pi\) | ||||
−0.890740 | + | 0.454513i | \(0.849813\pi\) | |||||||
\(398\) | −523.723 | + | 154.012i | −1.31589 | + | 0.386965i | ||||
\(399\) | −43.9268 | + | 32.0299i | −0.110092 | + | 0.0802753i | ||||
\(400\) | −97.4289 | − | 136.346i | −0.243572 | − | 0.340865i | ||||
\(401\) | 64.5497 | + | 111.803i | 0.160972 | + | 0.278812i | 0.935218 | − | 0.354074i | \(-0.115204\pi\) |
−0.774246 | + | 0.632885i | \(0.781870\pi\) | |||||||
\(402\) | −261.415 | − | 631.570i | −0.650287 | − | 1.57107i | ||||
\(403\) | −85.6720 | + | 148.388i | −0.212585 | + | 0.368209i | ||||
\(404\) | 525.961 | − | 25.4867i | 1.30188 | − | 0.0630858i | ||||
\(405\) | 199.240 | + | 439.370i | 0.491952 | + | 1.08486i | ||||
\(406\) | −296.404 | + | 311.115i | −0.730060 | + | 0.766294i | ||||
\(407\) | −434.047 | − | 250.597i | −1.06646 | − | 0.615718i | ||||
\(408\) | 467.141 | − | 220.413i | 1.14495 | − | 0.540229i | ||||
\(409\) | −201.124 | − | 348.356i | −0.491745 | − | 0.851727i | 0.508210 | − | 0.861233i | \(-0.330307\pi\) |
−0.999955 | + | 0.00950593i | \(0.996974\pi\) | |||||||
\(410\) | −57.4227 | + | 237.124i | −0.140055 | + | 0.578350i | ||||
\(411\) | −164.643 | − | 225.797i | −0.400591 | − | 0.549384i | ||||
\(412\) | 78.4329 | − | 152.445i | 0.190371 | − | 0.370013i | ||||
\(413\) | − | 104.296i | − | 0.252534i | ||||||
\(414\) | −15.4230 | + | 623.718i | −0.0372536 | + | 1.50657i | ||||
\(415\) | − | 186.240i | − | 0.448772i | ||||||
\(416\) | −138.185 | + | 55.6499i | −0.332177 | + | 0.133774i | ||||
\(417\) | 131.774 | − | 14.0784i | 0.316005 | − | 0.0337611i | ||||
\(418\) | 103.653 | + | 25.1009i | 0.247973 | + | 0.0600500i | ||||
\(419\) | −35.6383 | − | 61.7274i | −0.0850557 | − | 0.147321i | 0.820359 | − | 0.571848i | \(-0.193773\pi\) |
−0.905415 | + | 0.424528i | \(0.860440\pi\) | |||||||
\(420\) | −52.0654 | − | 333.533i | −0.123965 | − | 0.794126i | ||||
\(421\) | −594.980 | − | 343.512i | −1.41326 | − | 0.815943i | −0.417562 | − | 0.908649i | \(-0.637115\pi\) |
−0.995694 | + | 0.0927053i | \(0.970449\pi\) | |||||||
\(422\) | −177.284 | + | 186.083i | −0.420104 | + | 0.440954i | ||||
\(423\) | 116.694 | + | 539.898i | 0.275873 | + | 1.27635i | ||||
\(424\) | −307.371 | + | 355.608i | −0.724932 | + | 0.838697i | ||||
\(425\) | 112.708 | − | 195.215i | 0.265194 | − | 0.459330i | ||||
\(426\) | 6.51535 | − | 49.3912i | 0.0152943 | − | 0.115942i | ||||
\(427\) | 128.451 | + | 222.483i | 0.300821 | + | 0.521038i | ||||
\(428\) | 308.101 | − | 198.362i | 0.719863 | − | 0.463462i | ||||
\(429\) | 177.459 | + | 78.6455i | 0.413656 | + | 0.183323i | ||||
\(430\) | −80.1157 | + | 23.5598i | −0.186316 | + | 0.0547902i | ||||
\(431\) | − | 411.731i | − | 0.955292i | −0.878552 | − | 0.477646i | \(-0.841490\pi\) | ||
0.878552 | − | 0.477646i | \(-0.158510\pi\) | |||||||
\(432\) | −46.3330 | + | 429.508i | −0.107252 | + | 0.994232i | ||||
\(433\) | 812.833 | 1.87721 | 0.938606 | − | 0.344992i | \(-0.112118\pi\) | ||||
0.938606 | + | 0.344992i | \(0.112118\pi\) | |||||||
\(434\) | −98.0899 | − | 333.558i | −0.226014 | − | 0.768566i | ||||
\(435\) | 329.323 | − | 743.097i | 0.757065 | − | 1.70827i | ||||
\(436\) | 330.670 | + | 513.606i | 0.758416 | + | 1.17799i | ||||
\(437\) | 115.170 | − | 66.4935i | 0.263547 | − | 0.152159i | ||||
\(438\) | 678.429 | + | 89.4939i | 1.54893 | + | 0.204324i | ||||
\(439\) | −436.189 | − | 251.834i | −0.993597 | − | 0.573653i | −0.0872494 | − | 0.996186i | \(-0.527808\pi\) |
−0.906348 | + | 0.422533i | \(0.861141\pi\) | |||||||
\(440\) | −433.052 | + | 501.012i | −0.984210 | + | 1.13866i | ||||
\(441\) | −73.4504 | + | 228.722i | −0.166554 | + | 0.518643i | ||||
\(442\) | −145.082 | − | 138.222i | −0.328239 | − | 0.312718i | ||||
\(443\) | −163.387 | + | 282.994i | −0.368819 | + | 0.638813i | −0.989381 | − | 0.145344i | \(-0.953571\pi\) |
0.620562 | + | 0.784157i | \(0.286904\pi\) | |||||||
\(444\) | −427.557 | + | 66.7429i | −0.962967 | + | 0.150322i | ||||
\(445\) | 246.248 | − | 142.171i | 0.553366 | − | 0.319486i | ||||
\(446\) | 136.560 | − | 563.915i | 0.306188 | − | 1.26438i | ||||
\(447\) | 10.0797 | + | 94.3466i | 0.0225498 | + | 0.211066i | ||||
\(448\) | 111.657 | − | 280.904i | 0.249233 | − | 0.627019i | ||||
\(449\) | −482.106 | −1.07373 | −0.536866 | − | 0.843667i | \(-0.680392\pi\) | ||||
−0.536866 | + | 0.843667i | \(0.680392\pi\) | |||||||
\(450\) | 90.1983 | + | 165.549i | 0.200441 | + | 0.367886i | ||||
\(451\) | 284.664 | 0.631183 | ||||||||
\(452\) | −60.1648 | − | 30.9547i | −0.133108 | − | 0.0684839i | ||||
\(453\) | −42.9795 | + | 31.3391i | −0.0948774 | + | 0.0691812i | ||||
\(454\) | −514.190 | − | 124.518i | −1.13258 | − | 0.274269i | ||||
\(455\) | −113.414 | + | 65.4794i | −0.249261 | + | 0.143911i | ||||
\(456\) | 83.2769 | − | 39.2929i | 0.182625 | − | 0.0861686i | ||||
\(457\) | −128.853 | + | 223.180i | −0.281954 | + | 0.488359i | −0.971866 | − | 0.235534i | \(-0.924316\pi\) |
0.689912 | + | 0.723893i | \(0.257649\pi\) | |||||||
\(458\) | 239.536 | + | 228.210i | 0.523005 | + | 0.498276i | ||||
\(459\) | −551.724 | + | 182.408i | −1.20201 | + | 0.397402i | ||||
\(460\) | 39.9680 | + | 824.807i | 0.0868870 | + | 1.79306i | ||||
\(461\) | 102.474 | + | 59.1634i | 0.222286 | + | 0.128337i | 0.607008 | − | 0.794695i | \(-0.292369\pi\) |
−0.384722 | + | 0.923032i | \(0.625703\pi\) | |||||||
\(462\) | −363.924 | + | 150.633i | −0.787714 | + | 0.326045i | ||||
\(463\) | 332.975 | − | 192.243i | 0.719168 | − | 0.415212i | −0.0952784 | − | 0.995451i | \(-0.530374\pi\) |
0.814446 | + | 0.580239i | \(0.197041\pi\) | |||||||
\(464\) | 592.180 | − | 423.154i | 1.27625 | − | 0.911971i | ||||
\(465\) | 387.467 | + | 531.385i | 0.833262 | + | 1.14276i | ||||
\(466\) | −92.2665 | − | 313.755i | −0.197997 | − | 0.673294i | ||||
\(467\) | −881.059 | −1.88664 | −0.943318 | − | 0.331891i | \(-0.892314\pi\) | ||||
−0.943318 | + | 0.331891i | \(0.892314\pi\) | |||||||
\(468\) | 161.903 | − | 43.2929i | 0.345947 | − | 0.0925061i | ||||
\(469\) | − | 538.073i | − | 1.14728i | ||||||
\(470\) | 206.257 | + | 701.385i | 0.438846 | + | 1.49231i | ||||
\(471\) | −28.1243 | − | 263.244i | −0.0597118 | − | 0.558904i | ||||
\(472\) | −33.2190 | + | 173.504i | −0.0703791 | + | 0.367593i | ||||
\(473\) | 48.7170 | + | 84.3803i | 0.102996 | + | 0.178394i | ||||
\(474\) | −261.227 | − | 200.553i | −0.551111 | − | 0.423107i | ||||
\(475\) | 20.0923 | − | 34.8009i | 0.0422996 | − | 0.0732650i | ||||
\(476\) | 406.132 | − | 19.6801i | 0.853218 | − | 0.0413447i | ||||
\(477\) | 391.753 | − | 355.175i | 0.821285 | − | 0.744601i | ||||
\(478\) | −133.289 | − | 126.986i | −0.278847 | − | 0.265662i | ||||
\(479\) | −410.614 | − | 237.068i | −0.857232 | − | 0.494923i | 0.00585234 | − | 0.999983i | \(-0.498137\pi\) |
−0.863084 | + | 0.505060i | \(0.831470\pi\) | |||||||
\(480\) | −19.6177 | + | 571.437i | −0.0408703 | + | 1.19049i | ||||
\(481\) | 83.9384 | + | 145.386i | 0.174508 | + | 0.302257i | ||||
\(482\) | −62.3012 | − | 15.0871i | −0.129256 | − | 0.0313010i | ||||
\(483\) | −198.994 | + | 449.017i | −0.411996 | + | 0.929642i | ||||
\(484\) | 256.683 | + | 132.063i | 0.530337 | + | 0.272858i | ||||
\(485\) | 342.615i | 0.706423i | ||||||||
\(486\) | 110.334 | − | 473.310i | 0.227024 | − | 0.973889i | ||||
\(487\) | − | 67.4929i | − | 0.138589i | −0.997596 | − | 0.0692945i | \(-0.977925\pi\) | ||
0.997596 | − | 0.0692945i | \(-0.0220748\pi\) | |||||||
\(488\) | −142.824 | − | 411.028i | −0.292672 | − | 0.842270i | ||||
\(489\) | 41.1522 | − | 92.8572i | 0.0841558 | − | 0.189892i | ||||
\(490\) | −74.8333 | + | 309.020i | −0.152721 | + | 0.630652i | ||||
\(491\) | −103.521 | − | 179.303i | −0.210837 | − | 0.365180i | 0.741140 | − | 0.671351i | \(-0.234286\pi\) |
−0.951977 | + | 0.306171i | \(0.900952\pi\) | |||||||
\(492\) | 191.351 | − | 154.249i | 0.388926 | − | 0.313515i | ||||
\(493\) | 847.862 | + | 489.513i | 1.71980 | + | 0.992927i | ||||
\(494\) | −25.8636 | − | 24.6406i | −0.0523554 | − | 0.0498798i | ||||
\(495\) | 551.937 | − | 500.402i | 1.11502 | − | 1.01091i | ||||
\(496\) | 56.9391 | + | 586.138i | 0.114797 | + | 1.18173i | ||||
\(497\) | 19.6086 | − | 33.9631i | 0.0394539 | − | 0.0683362i | ||||
\(498\) | −114.252 | + | 148.817i | −0.229422 | + | 0.298830i | ||||
\(499\) | 136.696 | + | 236.765i | 0.273940 | + | 0.474479i | 0.969867 | − | 0.243634i | \(-0.0783396\pi\) |
−0.695927 | + | 0.718113i | \(0.745006\pi\) | |||||||
\(500\) | −187.340 | − | 290.982i | −0.374680 | − | 0.581965i | ||||
\(501\) | 18.4081 | + | 172.300i | 0.0367426 | + | 0.343912i | ||||
\(502\) | 61.4786 | + | 209.060i | 0.122467 | + | 0.416454i | ||||
\(503\) | − | 801.394i | − | 1.59323i | −0.604488 | − | 0.796615i | \(-0.706622\pi\) | ||
0.604488 | − | 0.796615i | \(-0.293378\pi\) | |||||||
\(504\) | −163.008 | + | 298.453i | −0.323428 | + | 0.592169i | ||||
\(505\) | −784.071 | −1.55262 | ||||||||
\(506\) | 924.344 | − | 271.823i | 1.82677 | − | 0.537200i | ||||
\(507\) | 260.404 | + | 357.127i | 0.513618 | + | 0.704392i | ||||
\(508\) | 312.307 | + | 485.084i | 0.614777 | + | 0.954890i | ||||
\(509\) | −456.038 | + | 263.294i | −0.895950 | + | 0.517277i | −0.875884 | − | 0.482522i | \(-0.839721\pi\) |
−0.0200657 | + | 0.999799i | \(0.506388\pi\) | |||||||
\(510\) | −710.640 | + | 294.143i | −1.39341 | + | 0.576752i | ||||
\(511\) | 466.512 | + | 269.341i | 0.912939 | + | 0.527085i | ||||
\(512\) | −275.218 | + | 431.740i | −0.537534 | + | 0.843242i | ||||
\(513\) | −98.3554 | + | 32.5176i | −0.191726 | + | 0.0633872i | ||||
\(514\) | −675.238 | + | 708.751i | −1.31369 | + | 1.37889i | ||||
\(515\) | −127.636 | + | 221.072i | −0.247837 | + | 0.429265i | ||||
\(516\) | 78.4704 | + | 30.3226i | 0.152074 | + | 0.0587647i | ||||
\(517\) | 738.720 | − | 426.500i | 1.42886 | − | 0.824952i | ||||
\(518\) | −331.077 | − | 80.1747i | −0.639145 | − | 0.154777i | ||||
\(519\) | −43.7966 | + | 31.9350i | −0.0843866 | + | 0.0615317i | ||||
\(520\) | 209.527 | − | 72.8065i | 0.402936 | − | 0.140013i | ||||
\(521\) | 860.976 | 1.65255 | 0.826273 | − | 0.563270i | \(-0.190457\pi\) | ||||
0.826273 | + | 0.563270i | \(0.190457\pi\) | |||||||
\(522\) | −719.013 | + | 391.750i | −1.37742 | + | 0.750480i | ||||
\(523\) | 233.126 | 0.445747 | 0.222873 | − | 0.974847i | \(-0.428456\pi\) | ||||
0.222873 | + | 0.974847i | \(0.428456\pi\) | |||||||
\(524\) | −61.9736 | − | 31.8853i | −0.118270 | − | 0.0608499i | ||||
\(525\) | 15.7656 | + | 147.567i | 0.0300298 | + | 0.281079i | ||||
\(526\) | 185.864 | − | 767.516i | 0.353354 | − | 1.45916i | ||||
\(527\) | −686.015 | + | 396.071i | −1.30174 | + | 0.751558i | ||||
\(528\) | 653.389 | − | 134.676i | 1.23748 | − | 0.255068i | ||||
\(529\) | 336.213 | − | 582.339i | 0.635564 | − | 1.10083i | ||||
\(530\) | 482.766 | − | 506.726i | 0.910879 | − | 0.956086i | ||||
\(531\) | 60.7650 | − | 189.220i | 0.114435 | − | 0.356346i | ||||
\(532\) | 72.4008 | − | 3.50835i | 0.136092 | − | 0.00659465i | ||||
\(533\) | −82.5746 | − | 47.6745i | −0.154924 | − | 0.0894456i | ||||
\(534\) | −283.984 | − | 37.4613i | −0.531806 | − | 0.0701522i | ||||
\(535\) | −472.519 | + | 272.809i | −0.883213 | + | 0.509923i | ||||
\(536\) | −171.379 | + | 895.120i | −0.319737 | + | 1.67000i | ||||
\(537\) | 321.516 | − | 725.480i | 0.598726 | − | 1.35099i | ||||
\(538\) | −689.187 | + | 202.670i | −1.28102 | + | 0.376711i | ||||
\(539\) | 370.974 | 0.688263 | ||||||||
\(540\) | 99.8626 | − | 635.447i | 0.184931 | − | 1.17675i | ||||
\(541\) | − | 735.170i | − | 1.35891i | −0.733718 | − | 0.679455i | \(-0.762216\pi\) | ||
0.733718 | − | 0.679455i | \(-0.237784\pi\) | |||||||
\(542\) | −428.299 | + | 125.951i | −0.790220 | + | 0.232381i | ||||
\(543\) | 508.719 | + | 225.452i | 0.936867 | + | 0.415197i | ||||
\(544\) | −681.896 | − | 96.6161i | −1.25348 | − | 0.177603i | ||||
\(545\) | −454.773 | − | 787.691i | −0.834447 | − | 1.44530i | ||||
\(546\) | 130.794 | + | 17.2534i | 0.239549 | + | 0.0315997i | ||||
\(547\) | −252.906 | + | 438.046i | −0.462351 | + | 0.800816i | −0.999078 | − | 0.0429407i | \(-0.986327\pi\) |
0.536727 | + | 0.843756i | \(0.319661\pi\) | |||||||
\(548\) | 18.0340 | + | 372.162i | 0.0329087 | + | 0.679127i | ||||
\(549\) | 103.419 | + | 478.478i | 0.188377 | + | 0.871544i | ||||
\(550\) | 200.820 | − | 210.787i | 0.365127 | − | 0.383249i | ||||
\(551\) | 151.148 | + | 87.2651i | 0.274315 | + | 0.158376i | ||||
\(552\) | 474.054 | − | 683.589i | 0.858794 | − | 1.23839i | ||||
\(553\) | −129.625 | − | 224.516i | −0.234403 | − | 0.405997i | ||||
\(554\) | 60.5648 | − | 250.099i | 0.109323 | − | 0.451442i | ||||
\(555\) | 640.695 | − | 68.4501i | 1.15440 | − | 0.123334i | ||||
\(556\) | −157.122 | − | 80.8392i | −0.282594 | − | 0.145394i | ||||
\(557\) | 240.438i | 0.431666i | 0.976430 | + | 0.215833i | \(0.0692467\pi\) | ||||
−0.976430 | + | 0.215833i | \(0.930753\pi\) | |||||||
\(558\) | 16.3772 | − | 662.306i | 0.0293498 | − | 1.18693i | ||||
\(559\) | − | 32.6358i | − | 0.0583825i | ||||||
\(560\) | −186.305 | + | 409.728i | −0.332688 | + | 0.731657i | ||||
\(561\) | 528.703 | + | 725.081i | 0.942430 | + | 1.29248i | ||||
\(562\) | 659.434 | + | 159.691i | 1.17337 | + | 0.284147i | ||||
\(563\) | 71.8708 | + | 124.484i | 0.127657 | + | 0.221108i | 0.922768 | − | 0.385355i | \(-0.125921\pi\) |
−0.795112 | + | 0.606463i | \(0.792588\pi\) | |||||||
\(564\) | 265.464 | − | 686.980i | 0.470680 | − | 1.21805i | ||||
\(565\) | 87.2493 | + | 50.3734i | 0.154423 | + | 0.0891564i | ||||
\(566\) | 23.9191 | − | 25.1062i | 0.0422599 | − | 0.0443572i | ||||
\(567\) | 222.745 | − | 311.045i | 0.392849 | − | 0.548579i | ||||
\(568\) | −43.4376 | + | 50.2544i | −0.0764747 | + | 0.0884761i | ||||
\(569\) | 468.006 | − | 810.610i | 0.822506 | − | 1.42462i | −0.0813051 | − | 0.996689i | \(-0.525909\pi\) |
0.903811 | − | 0.427932i | \(-0.140758\pi\) | |||||||
\(570\) | −126.685 | + | 52.4367i | −0.222255 | + | 0.0919942i | ||||
\(571\) | −104.431 | − | 180.879i | −0.182891 | − | 0.316776i | 0.759973 | − | 0.649955i | \(-0.225212\pi\) |
−0.942864 | + | 0.333179i | \(0.891879\pi\) | |||||||
\(572\) | −140.100 | − | 217.607i | −0.244929 | − | 0.380432i | ||||
\(573\) | −223.430 | + | 162.917i | −0.389930 | + | 0.284323i | ||||
\(574\) | 185.617 | − | 54.5848i | 0.323375 | − | 0.0950954i | ||||
\(575\) | − | 363.035i | − | 0.631364i | ||||||
\(576\) | 366.233 | − | 444.578i | 0.635821 | − | 0.771836i | ||||
\(577\) | −707.574 | −1.22630 | −0.613149 | − | 0.789967i | \(-0.710097\pi\) | ||||
−0.613149 | + | 0.789967i | \(0.710097\pi\) | |||||||
\(578\) | −98.2923 | − | 334.246i | −0.170056 | − | 0.578280i | ||||
\(579\) | −806.426 | + | 86.1564i | −1.39279 | + | 0.148802i | ||||
\(580\) | −911.216 | + | 586.659i | −1.57106 | + | 1.01148i | ||||
\(581\) | −127.904 | + | 73.8453i | −0.220144 | + | 0.127100i | ||||
\(582\) | 210.183 | − | 273.770i | 0.361139 | − | 0.470395i | ||||
\(583\) | −707.192 | − | 408.297i | −1.21302 | − | 0.700338i | ||||
\(584\) | −690.287 | − | 596.652i | −1.18200 | − | 1.02167i | ||||
\(585\) | −243.910 | + | 52.7192i | −0.416941 | + | 0.0901183i | ||||
\(586\) | −227.433 | − | 216.679i | −0.388111 | − | 0.369760i | ||||
\(587\) | −172.823 | + | 299.339i | −0.294418 | + | 0.509947i | −0.974849 | − | 0.222865i | \(-0.928459\pi\) |
0.680431 | + | 0.732812i | \(0.261792\pi\) | |||||||
\(588\) | 249.369 | − | 201.018i | 0.424097 | − | 0.341867i | ||||
\(589\) | −122.295 | + | 70.6073i | −0.207632 | + | 0.119876i | ||||
\(590\) | 61.9090 | − | 255.650i | 0.104930 | − | 0.433304i | ||||
\(591\) | 384.578 | + | 170.436i | 0.650725 | + | 0.288386i | ||||
\(592\) | 525.232 | + | 238.826i | 0.887217 | + | 0.403422i | ||||
\(593\) | 577.178 | 0.973318 | 0.486659 | − | 0.873592i | \(-0.338215\pi\) | ||||
0.486659 | + | 0.873592i | \(0.338215\pi\) | |||||||
\(594\) | −748.010 | + | 61.2571i | −1.25928 | + | 0.103127i | ||||
\(595\) | −605.438 | −1.01754 | ||||||||
\(596\) | 57.8787 | − | 112.495i | 0.0971119 | − | 0.188750i | ||||
\(597\) | −748.624 | − | 331.773i | −1.25398 | − | 0.555733i | ||||
\(598\) | −313.656 | − | 75.9560i | −0.524508 | − | 0.127017i | ||||
\(599\) | −580.291 | + | 335.031i | −0.968766 | + | 0.559317i | −0.898860 | − | 0.438237i | \(-0.855603\pi\) |
−0.0699059 | + | 0.997554i | \(0.522270\pi\) | |||||||
\(600\) | 20.7736 | − | 250.508i | 0.0346227 | − | 0.417514i | ||||
\(601\) | −474.923 | + | 822.591i | −0.790221 | + | 1.36870i | 0.135609 | + | 0.990762i | \(0.456701\pi\) |
−0.925830 | + | 0.377941i | \(0.876632\pi\) | |||||||
\(602\) | 47.9464 | + | 45.6793i | 0.0796452 | + | 0.0758793i | ||||
\(603\) | 313.491 | − | 976.199i | 0.519886 | − | 1.61890i | ||||
\(604\) | 70.8393 | − | 3.43269i | 0.117284 | − | 0.00568326i | ||||
\(605\) | −372.234 | − | 214.909i | −0.615263 | − | 0.355222i | ||||
\(606\) | 626.520 | + | 481.001i | 1.03386 | + | 0.793731i | ||||
\(607\) | −247.947 | + | 143.152i | −0.408479 | + | 0.235835i | −0.690136 | − | 0.723680i | \(-0.742449\pi\) |
0.281657 | + | 0.959515i | \(0.409116\pi\) | |||||||
\(608\) | −121.561 | − | 17.2237i | −0.199936 | − | 0.0283284i | ||||
\(609\) | −640.913 | + | 68.4735i | −1.05240 | + | 0.112436i | ||||
\(610\) | 182.793 | + | 621.594i | 0.299661 | + | 1.01901i | ||||
\(611\) | −285.715 | −0.467619 | ||||||||
\(612\) | 748.291 | + | 200.915i | 1.22270 | + | 0.328293i | ||||
\(613\) | 461.893i | 0.753496i | 0.926316 | + | 0.376748i | \(0.122958\pi\) | ||||
−0.926316 | + | 0.376748i | \(0.877042\pi\) | |||||||
\(614\) | 23.5957 | + | 80.2378i | 0.0384294 | + | 0.130680i | ||||
\(615\) | −295.704 | + | 215.617i | −0.480819 | + | 0.350596i | ||||
\(616\) | 515.787 | + | 98.7522i | 0.837316 | + | 0.160312i | ||||
\(617\) | 307.736 | + | 533.015i | 0.498763 | + | 0.863882i | 0.999999 | − | 0.00142829i | \(-0.000454640\pi\) |
−0.501236 | + | 0.865310i | \(0.667121\pi\) | |||||||
\(618\) | 237.609 | − | 98.3493i | 0.384480 | − | 0.159141i | ||||
\(619\) | 121.945 | − | 211.215i | 0.197003 | − | 0.341219i | −0.750552 | − | 0.660811i | \(-0.770212\pi\) |
0.947555 | + | 0.319592i | \(0.103546\pi\) | |||||||
\(620\) | −42.4407 | − | 875.836i | −0.0684528 | − | 1.41264i | ||||
\(621\) | −622.631 | + | 698.692i | −1.00263 | + | 1.12511i | ||||
\(622\) | −68.0478 | − | 64.8302i | −0.109402 | − | 0.104229i | ||||
\(623\) | −195.277 | − | 112.743i | −0.313447 | − | 0.180969i | ||||
\(624\) | −212.089 | − | 70.3608i | −0.339886 | − | 0.112758i | ||||
\(625\) | 388.572 | + | 673.026i | 0.621715 | + | 1.07684i | ||||
\(626\) | 713.486 | + | 172.780i | 1.13975 | + | 0.276007i | ||||
\(627\) | 94.2514 | + | 129.260i | 0.150321 | + | 0.206156i | ||||
\(628\) | −161.492 | + | 313.882i | −0.257152 | + | 0.499812i | ||||
\(629\) | 776.114i | 1.23388i | ||||||||
\(630\) | 263.942 | − | 432.127i | 0.418956 | − | 0.685915i | ||||
\(631\) | 1132.71i | 1.79510i | 0.440912 | + | 0.897550i | \(0.354655\pi\) | ||||
−0.440912 | + | 0.897550i | \(0.645345\pi\) | |||||||
\(632\) | 144.129 | + | 414.784i | 0.228053 | + | 0.656304i | ||||
\(633\) | −383.340 | + | 40.9550i | −0.605592 | + | 0.0646998i | ||||
\(634\) | 36.5822 | − | 151.064i | 0.0577007 | − | 0.238272i | ||||
\(635\) | −429.519 | − | 743.948i | −0.676408 | − | 1.17157i | ||||
\(636\) | −696.618 | + | 108.744i | −1.09531 | + | 0.170981i | ||||
\(637\) | −107.611 | − | 62.1294i | −0.168935 | − | 0.0975344i | ||||
\(638\) | 915.491 | + | 872.203i | 1.43494 | + | 1.36709i | ||||
\(639\) | 55.3625 | − | 50.1932i | 0.0866392 | − | 0.0785497i | ||||
\(640\) | 440.432 | − | 622.270i | 0.688175 | − | 0.972297i | ||||
\(641\) | 104.496 | − | 180.992i | 0.163020 | − | 0.282359i | −0.772930 | − | 0.634491i | \(-0.781210\pi\) |
0.935950 | + | 0.352132i | \(0.114543\pi\) | |||||||
\(642\) | 544.930 | + | 71.8835i | 0.848801 | + | 0.111968i | ||||
\(643\) | −88.2601 | − | 152.871i | −0.137263 | − | 0.237746i | 0.789197 | − | 0.614141i | \(-0.210497\pi\) |
−0.926460 | + | 0.376394i | \(0.877164\pi\) | |||||||
\(644\) | 550.603 | − | 354.489i | 0.854974 | − | 0.550449i | ||||
\(645\) | −114.520 | − | 50.7525i | −0.177550 | − | 0.0786860i | ||||
\(646\) | −46.5926 | − | 158.440i | −0.0721248 | − | 0.245263i | ||||
\(647\) | 186.463i | 0.288196i | 0.989563 | + | 0.144098i | \(0.0460281\pi\) | ||||
−0.989563 | + | 0.144098i | \(0.953972\pi\) | |||||||
\(648\) | −469.621 | + | 446.498i | −0.724724 | + | 0.689040i | ||||
\(649\) | −306.904 | −0.472887 | ||||||||
\(650\) | −93.5553 | + | 27.5120i | −0.143931 | + | 0.0423261i | ||||
\(651\) | 211.305 | − | 476.797i | 0.324586 | − | 0.732407i | ||||
\(652\) | −113.865 | + | 73.3088i | −0.174640 | + | 0.112437i | ||||
\(653\) | 757.512 | − | 437.350i | 1.16005 | − | 0.669754i | 0.208733 | − | 0.977973i | \(-0.433066\pi\) |
0.951316 | + | 0.308218i | \(0.0997327\pi\) | |||||||
\(654\) | −119.830 | + | 908.400i | −0.183226 | + | 1.38899i | ||||
\(655\) | 89.8723 | + | 51.8878i | 0.137210 | + | 0.0792180i | ||||
\(656\) | −326.172 | + | 31.6853i | −0.497214 | + | 0.0483008i | ||||
\(657\) | 689.446 | + | 760.450i | 1.04939 | + | 1.15746i | ||||
\(658\) | 399.906 | − | 419.754i | 0.607760 | − | 0.637924i | ||||
\(659\) | −431.297 | + | 747.028i | −0.654472 | + | 1.13358i | 0.327554 | + | 0.944833i | \(0.393776\pi\) |
−0.982026 | + | 0.188746i | \(0.939558\pi\) | |||||||
\(660\) | −981.458 | + | 153.208i | −1.48706 | + | 0.232134i | ||||
\(661\) | −361.406 | + | 208.658i | −0.546757 | + | 0.315670i | −0.747813 | − | 0.663910i | \(-0.768896\pi\) |
0.201056 | + | 0.979580i | \(0.435563\pi\) | |||||||
\(662\) | −976.391 | − | 236.446i | −1.47491 | − | 0.357170i | ||||
\(663\) | −31.9311 | − | 298.875i | −0.0481615 | − | 0.450793i | ||||
\(664\) | 236.297 | − | 82.1085i | 0.355869 | − | 0.123657i | ||||
\(665\) | −107.931 | −0.162302 | ||||||||
\(666\) | −553.945 | − | 338.349i | −0.831750 | − | 0.508031i | ||||
\(667\) | 1576.74 | 2.36392 | ||||||||
\(668\) | 105.701 | − | 205.444i | 0.158234 | − | 0.307551i | ||||
\(669\) | 703.227 | − | 512.768i | 1.05116 | − | 0.766470i | ||||
\(670\) | 319.393 | − | 1318.92i | 0.476706 | − | 1.96853i | ||||
\(671\) | 654.681 | − | 377.980i | 0.975680 | − | 0.563309i | ||||
\(672\) | 400.223 | − | 213.105i | 0.595570 | − | 0.317121i | ||||
\(673\) | 651.368 | − | 1128.20i | 0.967857 | − | 1.67638i | 0.266121 | − | 0.963940i | \(-0.414258\pi\) |
0.701736 | − | 0.712438i | \(-0.252409\pi\) | |||||||
\(674\) | 63.7223 | − | 66.8849i | 0.0945435 | − | 0.0992357i | ||||
\(675\) | −57.3723 | + | 276.908i | −0.0849959 | + | 0.410235i | ||||
\(676\) | −28.5230 | − | 588.621i | −0.0421939 | − | 0.870742i | ||||
\(677\) | 408.374 | + | 235.775i | 0.603211 | + | 0.348264i | 0.770304 | − | 0.637677i | \(-0.220105\pi\) |
−0.167093 | + | 0.985941i | \(0.553438\pi\) | |||||||
\(678\) | −38.8150 | − | 93.7758i | −0.0572493 | − | 0.138312i | ||||
\(679\) | 235.297 | − | 135.849i | 0.346535 | − | 0.200072i | ||||
\(680\) | 1007.19 | + | 192.835i | 1.48116 | + | 0.283581i | ||||
\(681\) | −467.553 | − | 641.217i | −0.686568 | − | 0.941582i | ||||
\(682\) | −981.531 | + | 288.640i | −1.43919 | + | 0.423226i | ||||
\(683\) | 316.113 | 0.462830 | 0.231415 | − | 0.972855i | \(-0.425664\pi\) | ||||
0.231415 | + | 0.972855i | \(0.425664\pi\) | |||||||
\(684\) | 133.397 | + | 35.8170i | 0.195025 | + | 0.0523640i | ||||
\(685\) | − | 554.797i | − | 0.809922i | ||||||
\(686\) | 685.963 | − | 201.722i | 0.999946 | − | 0.294056i | ||||
\(687\) | 52.7197 | + | 493.458i | 0.0767390 | + | 0.718279i | ||||
\(688\) | −65.2129 | − | 91.2618i | −0.0947863 | − | 0.132648i | ||||
\(689\) | 136.761 | + | 236.876i | 0.198491 | + | 0.343797i | ||||
\(690\) | −754.302 | + | 982.504i | −1.09319 | + | 1.42392i | ||||
\(691\) | 14.4746 | − | 25.0708i | 0.0209473 | − | 0.0362819i | −0.855362 | − | 0.518031i | \(-0.826665\pi\) |
0.876309 | + | 0.481749i | \(0.159998\pi\) | |||||||
\(692\) | 72.1862 | − | 3.49796i | 0.104315 | − | 0.00505485i | ||||
\(693\) | −562.506 | − | 180.640i | −0.811697 | − | 0.260664i | ||||
\(694\) | 350.635 | − | 368.038i | 0.505238 | − | 0.530314i | ||||
\(695\) | 227.854 | + | 131.552i | 0.327847 | + | 0.189283i | ||||
\(696\) | 1088.01 | + | 90.2243i | 1.56323 | + | 0.129633i | ||||
\(697\) | −220.405 | − | 381.752i | −0.316219 | − | 0.547707i | ||||
\(698\) | −116.047 | + | 479.208i | −0.166256 | + | 0.686544i | ||||
\(699\) | 198.761 | − | 448.491i | 0.284350 | − | 0.641618i | ||||
\(700\) | 90.5275 | − | 175.953i | 0.129325 | − | 0.251361i | ||||
\(701\) | 181.322i | 0.258662i | 0.991601 | + | 0.129331i | \(0.0412830\pi\) | ||||
−0.991601 | + | 0.129331i | \(0.958717\pi\) | |||||||
\(702\) | 227.241 | + | 107.505i | 0.323704 | + | 0.153141i | ||||
\(703\) | 138.357i | 0.196810i | ||||||||
\(704\) | −826.592 | − | 328.562i | −1.17414 | − | 0.466707i | ||||
\(705\) | −444.320 | + | 1002.58i | −0.630241 | + | 1.42210i | ||||
\(706\) | 296.827 | + | 71.8806i | 0.420435 | + | 0.101814i | ||||
\(707\) | 310.889 | + | 538.475i | 0.439729 | + | 0.761633i | ||||
\(708\) | −206.301 | + | 166.300i | −0.291386 | + | 0.234887i | ||||
\(709\) | −56.7386 | − | 32.7581i | −0.0800262 | − | 0.0462032i | 0.459453 | − | 0.888202i | \(-0.348045\pi\) |
−0.539479 | + | 0.841999i | \(0.681379\pi\) | |||||||
\(710\) | 68.2244 | − | 71.6104i | 0.0960907 | − | 0.100860i | ||||
\(711\) | −104.364 | − | 482.851i | −0.146785 | − | 0.679115i | ||||
\(712\) | 288.948 | + | 249.753i | 0.405825 | + | 0.350777i | ||||
\(713\) | −637.878 | + | 1104.84i | −0.894640 | + | 1.54956i | ||||
\(714\) | 483.781 | + | 371.415i | 0.677564 | + | 0.520190i | ||||
\(715\) | 192.681 | + | 333.733i | 0.269483 | + | 0.466759i | ||||
\(716\) | −889.614 | + | 572.751i | −1.24248 | + | 0.799932i | ||||
\(717\) | −29.3356 | − | 274.582i | −0.0409143 | − | 0.382959i | ||||
\(718\) | 658.259 | − | 193.575i | 0.916795 | − | 0.269604i | ||||
\(719\) | 583.213i | 0.811144i | 0.914063 | + | 0.405572i | \(0.132928\pi\) | ||||
−0.914063 | + | 0.405572i | \(0.867072\pi\) | |||||||
\(720\) | −576.720 | + | 634.804i | −0.801000 | + | 0.881673i | ||||
\(721\) | 202.433 | 0.280767 | ||||||||
\(722\) | 195.389 | + | 664.426i | 0.270622 | + | 0.920257i | ||||
\(723\) | −56.6505 | − | 77.6924i | −0.0783548 | − | 0.107458i | ||||
\(724\) | −401.622 | − | 623.812i | −0.554727 | − | 0.861618i | ||||
\(725\) | 412.610 | − | 238.221i | 0.569118 | − | 0.328580i | ||||
\(726\) | 165.598 | + | 400.078i | 0.228096 | + | 0.551072i | ||||
\(727\) | 870.370 | + | 502.508i | 1.19721 | + | 0.691208i | 0.959932 | − | 0.280234i | \(-0.0904122\pi\) |
0.237276 | + | 0.971442i | \(0.423746\pi\) | |||||||
\(728\) | −133.080 | − | 115.028i | −0.182802 | − | 0.158006i | ||||
\(729\) | 585.336 | − | 434.537i | 0.802930 | − | 0.596073i | ||||
\(730\) | 983.629 | + | 937.119i | 1.34744 | + | 1.28372i | ||||
\(731\) | 75.4396 | − | 130.665i | 0.103201 | − | 0.178749i | ||||
\(732\) | 235.264 | − | 608.828i | 0.321399 | − | 0.831732i | ||||
\(733\) | −487.340 | + | 281.366i | −0.664857 | + | 0.383855i | −0.794125 | − | 0.607755i | \(-0.792070\pi\) |
0.129268 | + | 0.991610i | \(0.458737\pi\) | |||||||
\(734\) | −19.4297 | + | 80.2337i | −0.0264709 | + | 0.109310i | ||||
\(735\) | −385.361 | + | 280.992i | −0.524301 | + | 0.382302i | ||||
\(736\) | −1028.87 | + | 414.346i | −1.39792 | + | 0.562971i | ||||
\(737\) | −1583.34 | −2.14836 | ||||||||
\(738\) | 368.558 | + | 9.11353i | 0.499402 | + | 0.0123490i | ||||
\(739\) | 786.903 | 1.06482 | 0.532411 | − | 0.846486i | \(-0.321286\pi\) | ||||
0.532411 | + | 0.846486i | \(0.321286\pi\) | |||||||
\(740\) | −763.940 | − | 393.046i | −1.03235 | − | 0.531143i | ||||
\(741\) | −5.69232 | − | 53.2803i | −0.00768194 | − | 0.0719032i | ||||
\(742\) | −539.422 | − | 130.628i | −0.726984 | − | 0.176049i | ||||
\(743\) | 1259.40 | − | 727.115i | 1.69502 | − | 0.978620i | 0.744672 | − | 0.667430i | \(-0.232606\pi\) |
0.950348 | − | 0.311190i | \(-0.100728\pi\) | |||||||
\(744\) | −503.383 | + | 725.882i | −0.676590 | + | 0.975647i | ||||
\(745\) | −94.1874 | + | 163.137i | −0.126426 | + | 0.218976i | ||||
\(746\) | 156.487 | + | 149.087i | 0.209768 | + | 0.199849i | ||||
\(747\) | −275.073 | + | 59.4548i | −0.368237 | + | 0.0795915i | ||||
\(748\) | −57.9109 | − | 1195.09i | −0.0774209 | − | 1.59771i | ||||
\(749\) | 374.713 | + | 216.341i | 0.500284 | + | 0.288839i | ||||
\(750\) | 67.8895 | − | 514.652i | 0.0905193 | − | 0.686203i | ||||
\(751\) | −298.356 | + | 172.256i | −0.397279 | + | 0.229369i | −0.685309 | − | 0.728252i | \(-0.740333\pi\) |
0.288031 | + | 0.957621i | \(0.407000\pi\) | |||||||
\(752\) | −798.965 | + | 570.916i | −1.06245 | + | 0.759197i | ||||
\(753\) | −132.437 | + | 298.836i | −0.175879 | + | 0.396861i | ||||
\(754\) | −119.490 | − | 406.330i | −0.158475 | − | 0.538900i | ||||
\(755\) | −105.603 | −0.139872 | ||||||||
\(756\) | −476.000 | + | 183.376i | −0.629630 | + | 0.242560i | ||||
\(757\) | − | 1091.69i | − | 1.44212i | −0.692870 | − | 0.721062i | \(-0.743654\pi\) | ||
0.692870 | − | 0.721062i | \(-0.256346\pi\) | |||||||
\(758\) | 163.764 | + | 556.883i | 0.216047 | + | 0.734675i | ||||
\(759\) | 1321.28 | + | 585.562i | 1.74082 | + | 0.771492i | ||||
\(760\) | 179.550 | + | 34.3766i | 0.236250 | + | 0.0452323i | ||||
\(761\) | 133.134 | + | 230.595i | 0.174946 | + | 0.303015i | 0.940143 | − | 0.340781i | \(-0.110692\pi\) |
−0.765197 | + | 0.643797i | \(0.777358\pi\) | |||||||
\(762\) | −113.176 | + | 857.954i | −0.148524 | + | 1.12592i | ||||
\(763\) | −360.640 | + | 624.647i | −0.472661 | + | 0.818673i | ||||
\(764\) | 368.261 | − | 17.8449i | 0.482016 | − | 0.0233572i | ||||
\(765\) | −1098.42 | − | 352.739i | −1.43584 | − | 0.461097i | ||||
\(766\) | 65.5449 | + | 62.4457i | 0.0855678 | + | 0.0815218i | ||||
\(767\) | 89.0260 | + | 51.3992i | 0.116070 | + | 0.0670133i | ||||
\(768\) | −733.673 | + | 227.041i | −0.955304 | + | 0.295627i | ||||
\(769\) | −426.068 | − | 737.971i | −0.554054 | − | 0.959650i | −0.997976 | − | 0.0635850i | \(-0.979747\pi\) |
0.443922 | − | 0.896065i | \(-0.353587\pi\) | |||||||
\(770\) | −759.987 | − | 184.041i | −0.986996 | − | 0.239014i | ||||
\(771\) | −1460.06 | + | 155.989i | −1.89373 | + | 0.202321i | ||||
\(772\) | 961.551 | + | 494.717i | 1.24553 | + | 0.640825i | ||||
\(773\) | − | 1203.58i | − | 1.55702i | −0.627630 | − | 0.778512i | \(-0.715975\pi\) | ||
0.627630 | − | 0.778512i | \(-0.284025\pi\) | |||||||
\(774\) | 60.3732 | + | 110.808i | 0.0780016 | + | 0.143163i | ||||
\(775\) | 385.495i | 0.497412i | ||||||||
\(776\) | −434.701 | + | 151.050i | −0.560181 | + | 0.194652i | ||||
\(777\) | −301.048 | − | 412.868i | −0.387450 | − | 0.531361i | ||||
\(778\) | 257.494 | − | 1063.31i | 0.330969 | − | 1.36672i | ||||
\(779\) | −39.2913 | − | 68.0546i | −0.0504382 | − | 0.0873615i | ||||
\(780\) | 310.358 | + | 119.929i | 0.397895 | + | 0.153755i | ||||
\(781\) | −99.9402 | − | 57.7005i | −0.127964 | − | 0.0738803i | ||||
\(782\) | −1080.22 | − | 1029.14i | −1.38135 | − | 1.31604i | ||||
\(783\) | −1202.67 | − | 249.180i | −1.53598 | − | 0.318237i | ||||
\(784\) | −425.068 | + | 41.2923i | −0.542178 | + | 0.0526687i | ||||
\(785\) | 262.799 | − | 455.182i | 0.334776 | − | 0.579850i | ||||
\(786\) | −39.9819 | − | 96.5950i | −0.0508676 | − | 0.122894i | ||||
\(787\) | −353.524 | − | 612.322i | −0.449205 | − | 0.778046i | 0.549130 | − | 0.835737i | \(-0.314959\pi\) |
−0.998334 | + | 0.0576915i | \(0.981626\pi\) | |||||||
\(788\) | −303.616 | − | 471.586i | −0.385300 | − | 0.598459i | ||||
\(789\) | 957.127 | − | 697.903i | 1.21309 | − | 0.884541i | ||||
\(790\) | −184.464 | − | 627.275i | −0.233498 | − | 0.794019i | ||||
\(791\) | − | 79.8933i | − | 0.101003i | ||||||
\(792\) | 878.232 | + | 479.668i | 1.10888 | + | 0.605642i | ||||
\(793\) | −253.212 | −0.319308 | ||||||||
\(794\) | 692.447 | − | 203.629i | 0.872099 | − | 0.256460i | ||||
\(795\) | 1043.88 | − | 111.525i | 1.31306 | − | 0.140284i | ||||
\(796\) | 591.022 | + | 917.994i | 0.742491 | + | 1.15326i | ||||
\(797\) | 802.601 | − | 463.382i | 1.00703 | − | 0.581408i | 0.0967079 | − | 0.995313i | \(-0.469169\pi\) |
0.910320 | + | 0.413905i | \(0.135835\pi\) | |||||||
\(798\) | 86.2432 | + | 66.2119i | 0.108074 | + | 0.0829723i | ||||
\(799\) | −1143.93 | − | 660.447i | −1.43170 | − | 0.826592i | ||||
\(800\) | −206.641 | + | 263.876i | −0.258301 | + | 0.329845i | ||||
\(801\) | −288.596 | − | 318.317i | −0.360294 | − | 0.397400i | ||||
\(802\) | 178.101 | − | 186.940i | 0.222071 | − | 0.233093i | ||||
\(803\) | 792.565 | − | 1372.76i | 0.987005 | − | 1.70954i | ||||
\(804\) | −1064.32 | + | 857.956i | −1.32379 | + | 1.06711i | ||||
\(805\) | −844.432 | + | 487.533i | −1.04898 | + | 0.605631i | ||||
\(806\) | 333.061 | + | 80.6552i | 0.413227 | + | 0.100069i | ||||
\(807\) | −985.144 | − | 436.593i | −1.22075 | − | 0.541007i | ||||
\(808\) | −345.677 | − | 994.808i | −0.427818 | − | 1.23120i | ||||
\(809\) | 804.591 | 0.994551 | 0.497275 | − | 0.867593i | \(-0.334334\pi\) | ||||
0.497275 | + | 0.867593i | \(0.334334\pi\) | |||||||
\(810\) | 730.622 | − | 630.209i | 0.902002 | − | 0.778035i | ||||
\(811\) | 652.228 | 0.804227 | 0.402113 | − | 0.915590i | \(-0.368276\pi\) | ||||
0.402113 | + | 0.915590i | \(0.368276\pi\) | |||||||
\(812\) | 764.200 | + | 393.180i | 0.941134 | + | 0.484212i | ||||
\(813\) | −612.223 | − | 271.323i | −0.753042 | − | 0.333731i | ||||
\(814\) | −235.923 | + | 974.231i | −0.289832 | + | 1.19684i | ||||
\(815\) | 174.629 | − | 100.822i | 0.214269 | − | 0.123708i | ||||
\(816\) | −686.504 | − | 771.961i | −0.841304 | − | 0.946031i | ||||
\(817\) | 13.4485 | − | 23.2936i | 0.0164609 | − | 0.0285111i | ||||
\(818\) | −554.926 | + | 582.468i | −0.678394 | + | 0.712063i | ||||
\(819\) | 132.918 | + | 146.606i | 0.162293 | + | 0.179007i | ||||
\(820\) | 487.383 | − | 23.6173i | 0.594369 | − | 0.0288016i | ||||
\(821\) | −162.159 | − | 93.6225i | −0.197514 | − | 0.114035i | 0.397981 | − | 0.917393i | \(-0.369711\pi\) |
−0.595495 | + | 0.803359i | \(0.703044\pi\) | |||||||
\(822\) | −340.349 | + | 443.316i | −0.414050 | + | 0.539314i | ||||
\(823\) | −260.354 | + | 150.315i | −0.316347 | + | 0.182643i | −0.649763 | − | 0.760137i | \(-0.725132\pi\) |
0.333416 | + | 0.942780i | \(0.391799\pi\) | |||||||
\(824\) | −336.761 | − | 64.4761i | −0.408691 | − | 0.0782477i | ||||
\(825\) | 434.231 | − | 46.3921i | 0.526341 | − | 0.0562329i | ||||
\(826\) | −200.119 | + | 58.8494i | −0.242275 | + | 0.0712462i | ||||
\(827\) | 755.962 | 0.914101 | 0.457051 | − | 0.889441i | \(-0.348906\pi\) | ||||
0.457051 | + | 0.889441i | \(0.348906\pi\) | |||||||
\(828\) | 1205.46 | − | 322.341i | 1.45588 | − | 0.389301i | ||||
\(829\) | 205.363i | 0.247724i | 0.992299 | + | 0.123862i | \(0.0395280\pi\) | ||||
−0.992299 | + | 0.123862i | \(0.960472\pi\) | |||||||
\(830\) | −357.350 | + | 105.086i | −0.430542 | + | 0.126610i | ||||
\(831\) | 311.884 | − | 227.415i | 0.375312 | − | 0.273664i | ||||
\(832\) | 184.750 | + | 233.743i | 0.222055 | + | 0.280942i | ||||
\(833\) | −287.231 | − | 497.499i | −0.344815 | − | 0.597238i | ||||
\(834\) | −101.367 | − | 244.898i | −0.121543 | − | 0.293643i | ||||
\(835\) | −172.009 | + | 297.929i | −0.205999 | + | 0.356801i | ||||
\(836\) | −10.3237 | − | 213.047i | −0.0123489 | − | 0.254841i | ||||
\(837\) | 661.152 | − | 741.919i | 0.789906 | − | 0.886403i | ||||
\(838\) | −98.3308 | + | 103.211i | −0.117340 | + | 0.123163i | ||||
\(839\) | −249.008 | − | 143.765i | −0.296791 | − | 0.171352i | 0.344209 | − | 0.938893i | \(-0.388147\pi\) |
−0.641000 | + | 0.767541i | \(0.721480\pi\) | |||||||
\(840\) | −610.590 | + | 288.097i | −0.726893 | + | 0.342973i | ||||
\(841\) | 614.143 | + | 1063.73i | 0.730253 | + | 1.26484i | ||||
\(842\) | −323.397 | + | 1335.45i | −0.384082 | + | 1.58604i | ||||
\(843\) | 599.623 | + | 822.343i | 0.711297 | + | 0.975496i | ||||
\(844\) | 457.080 | + | 235.167i | 0.541563 | + | 0.278634i | ||||
\(845\) | 877.482i | 1.03844i | ||||||||
\(846\) | 970.087 | − | 528.546i | 1.14667 | − | 0.624759i | ||||
\(847\) | 340.851i | 0.402422i | ||||||||
\(848\) | 855.759 | + | 389.118i | 1.00915 | + | 0.458865i | ||||
\(849\) | 51.7201 | − | 5.52563i | 0.0609188 | − | 0.00650840i | ||||
\(850\) | −438.166 | − | 106.108i | −0.515489 | − | 0.124833i | ||||
\(851\) | 624.971 | + | 1082.48i | 0.734396 | + | 1.27201i | ||||
\(852\) | −98.4459 | + | 15.3677i | −0.115547 | + | 0.0180372i | ||||
\(853\) | 1224.79 | + | 707.134i | 1.43586 | + | 0.828997i | 0.997559 | − | 0.0698290i | \(-0.0222454\pi\) |
0.438306 | + | 0.898826i | \(0.355579\pi\) | |||||||
\(854\) | 354.412 | − | 372.002i | 0.415002 | − | 0.435599i | ||||
\(855\) | −195.814 | − | 62.8825i | −0.229022 | − | 0.0735468i | ||||
\(856\) | −554.454 | − | 479.245i | −0.647727 | − | 0.559866i | ||||
\(857\) | 214.812 | − | 372.065i | 0.250656 | − | 0.434149i | −0.713051 | − | 0.701113i | \(-0.752687\pi\) |
0.963707 | + | 0.266964i | \(0.0860204\pi\) | |||||||
\(858\) | 50.7702 | − | 384.875i | 0.0591727 | − | 0.448573i | ||||
\(859\) | −820.973 | − | 1421.97i | −0.955731 | − | 1.65537i | −0.732687 | − | 0.680566i | \(-0.761734\pi\) |
−0.223043 | − | 0.974809i | \(-0.571599\pi\) | |||||||
\(860\) | 90.4109 | + | 140.429i | 0.105129 | + | 0.163289i | ||||
\(861\) | 265.327 | + | 117.587i | 0.308161 | + | 0.136570i | ||||
\(862\) | −790.011 | + | 232.320i | −0.916486 | + | 0.269512i | ||||
\(863\) | 343.475i | 0.398001i | 0.979999 | + | 0.199000i | \(0.0637695\pi\) | ||||
−0.979999 | + | 0.199000i | \(0.936231\pi\) | |||||||
\(864\) | 850.264 | − | 153.449i | 0.984102 | − | 0.177603i | ||||
\(865\) | −107.611 | −0.124406 | ||||||||
\(866\) | −458.642 | − | 1559.63i | −0.529610 | − | 1.80095i | ||||
\(867\) | 211.741 | − | 477.781i | 0.244223 | − | 0.551074i | ||||
\(868\) | −584.668 | + | 376.421i | −0.673581 | + | 0.433665i | ||||
\(869\) | −660.665 | + | 381.435i | −0.760259 | + | 0.438935i | ||||
\(870\) | −1611.64 | − | 212.597i | −1.85246 | − | 0.244364i | ||||
\(871\) | 459.292 | + | 265.172i | 0.527316 | + | 0.304446i | ||||
\(872\) | 798.903 | − | 924.277i | 0.916173 | − | 1.05995i | ||||
\(873\) | 506.036 | − | 109.375i | 0.579652 | − | 0.125287i | ||||
\(874\) | −192.569 | − | 183.464i | −0.220331 | − | 0.209913i | ||||
\(875\) | 204.320 | − | 353.893i | 0.233509 | − | 0.404449i | ||||
\(876\) | −211.088 | − | 1352.24i | −0.240968 | − | 1.54365i | ||||
\(877\) | −322.495 | + | 186.193i | −0.367725 | + | 0.212306i | −0.672464 | − | 0.740130i | \(-0.734764\pi\) |
0.304739 | + | 0.952436i | \(0.401431\pi\) | |||||||
\(878\) | −237.087 | + | 979.038i | −0.270031 | + | 1.11508i | ||||
\(879\) | −50.0559 | − | 468.524i | −0.0569464 | − | 0.533020i | ||||
\(880\) | 1205.67 | + | 548.224i | 1.37008 | + | 0.622982i | ||||
\(881\) | −526.956 | −0.598134 | −0.299067 | − | 0.954232i | \(-0.596675\pi\) | ||||
−0.299067 | + | 0.954232i | \(0.596675\pi\) | |||||||
\(882\) | 480.305 | + | 11.8768i | 0.544564 | + | 0.0134657i | ||||
\(883\) | −1534.59 | −1.73792 | −0.868962 | − | 0.494879i | \(-0.835212\pi\) | ||||
−0.868962 | + | 0.494879i | \(0.835212\pi\) | |||||||
\(884\) | −183.351 | + | 356.368i | −0.207410 | + | 0.403131i | ||||
\(885\) | 318.806 | − | 232.462i | 0.360233 | − | 0.262669i | ||||
\(886\) | 635.188 | + | 153.819i | 0.716916 | + | 0.173611i | ||||
\(887\) | 525.057 | − | 303.142i | 0.591946 | − | 0.341760i | −0.173920 | − | 0.984760i | \(-0.555644\pi\) |
0.765867 | + | 0.642999i | \(0.222310\pi\) | |||||||
\(888\) | 369.313 | + | 782.718i | 0.415893 | + | 0.881439i | ||||
\(889\) | −340.613 | + | 589.959i | −0.383142 | + | 0.663621i | ||||
\(890\) | −411.738 | − | 392.269i | −0.462627 | − | 0.440752i | ||||
\(891\) | −915.283 | − | 655.453i | −1.02725 | − | 0.735637i | ||||
\(892\) | −1159.07 | + | 56.1654i | −1.29940 | + | 0.0629657i | ||||
\(893\) | −203.927 | − | 117.737i | −0.228362 | − | 0.131845i | ||||
\(894\) | 175.341 | − | 72.5758i | 0.196130 | − | 0.0811810i | ||||
\(895\) | 1364.36 | − | 787.711i | 1.52442 | − | 0.880124i | ||||
\(896\) | −601.989 | − | 55.7408i | −0.671863 | − | 0.0622107i | ||||
\(897\) | −285.207 | − | 391.143i | −0.317957 | − | 0.436057i | ||||
\(898\) | 272.029 | + | 925.043i | 0.302927 | + | 1.03011i | ||||
\(899\) | −1674.28 | −1.86239 | ||||||||
\(900\) | 266.753 | − | 266.480i | 0.296392 | − | 0.296088i | ||||
\(901\) | 1264.52i | 1.40346i | ||||||||
\(902\) | −160.622 | − | 546.200i | −0.178073 | − | 0.605543i | ||||
\(903\) | 10.5525 | + | 98.7721i | 0.0116861 | + | 0.109382i | ||||
\(904\) | −25.4464 | + | 132.908i | −0.0281487 | + | 0.147022i | ||||
\(905\) | 552.355 | + | 956.708i | 0.610338 | + | 1.05714i | ||||
\(906\) | 84.3833 | + | 64.7839i | 0.0931383 | + | 0.0715054i | ||||
\(907\) | −297.755 | + | 515.726i | −0.328285 | + | 0.568606i | −0.982172 | − | 0.187986i | \(-0.939804\pi\) |
0.653887 | + | 0.756593i | \(0.273137\pi\) | |||||||
\(908\) | 51.2128 | + | 1056.86i | 0.0564018 | + | 1.16395i | ||||
\(909\) | 250.305 | + | 1158.06i | 0.275363 | + | 1.27399i | ||||
\(910\) | 189.633 | + | 180.666i | 0.208388 | + | 0.198534i | ||||
\(911\) | −335.426 | − | 193.658i | −0.368195 | − | 0.212578i | 0.304475 | − | 0.952520i | \(-0.401519\pi\) |
−0.672670 | + | 0.739943i | \(0.734852\pi\) | |||||||
\(912\) | −122.382 | − | 137.617i | −0.134191 | − | 0.150896i | ||||
\(913\) | 217.298 | + | 376.371i | 0.238004 | + | 0.412236i | ||||
\(914\) | 500.933 | + | 121.308i | 0.548067 | + | 0.132722i | ||||
\(915\) | −393.773 | + | 888.524i | −0.430353 | + | 0.971064i | ||||
\(916\) | 302.721 | − | 588.380i | 0.330481 | − | 0.642336i | ||||
\(917\) | − | 82.2952i | − | 0.0897439i | ||||||
\(918\) | 661.307 | + | 955.700i | 0.720378 | + | 1.04107i | ||||
\(919\) | − | 1508.26i | − | 1.64119i | −0.571508 | − | 0.820597i | \(-0.693641\pi\) | ||
0.571508 | − | 0.820597i | \(-0.306359\pi\) | |||||||
\(920\) | 1560.05 | − | 542.088i | 1.69571 | − | 0.589226i | ||||
\(921\) | −50.8298 | + | 114.694i | −0.0551898 | + | 0.124532i | ||||
\(922\) | 55.6989 | − | 230.005i | 0.0604110 | − | 0.249464i | ||||
\(923\) | 19.3270 | + | 33.4753i | 0.0209393 | + | 0.0362679i | ||||
\(924\) | 494.372 | + | 613.286i | 0.535035 | + | 0.663729i | ||||
\(925\) | 327.093 | + | 188.847i | 0.353614 | + | 0.204159i | ||||
\(926\) | −556.749 | − | 530.424i | −0.601241 | − | 0.572812i | ||||
\(927\) | 367.265 | + | 117.941i | 0.396186 | + | 0.127229i | ||||
\(928\) | −1146.07 | − | 897.483i | −1.23499 | − | 0.967116i | ||||
\(929\) | −346.221 | + | 599.672i | −0.372681 | + | 0.645503i | −0.989977 | − | 0.141228i | \(-0.954895\pi\) |
0.617296 | + | 0.786731i | \(0.288228\pi\) | |||||||
\(930\) | 800.969 | − | 1043.29i | 0.861257 | − | 1.12182i | ||||
\(931\) | −51.2045 | − | 88.6887i | −0.0549994 | − | 0.0952618i | ||||
\(932\) | −549.958 | + | 354.074i | −0.590083 | + | 0.379907i | ||||
\(933\) | −14.9767 | − | 140.182i | −0.0160522 | − | 0.150249i | ||||
\(934\) | 497.139 | + | 1690.54i | 0.532269 | + | 1.81000i | ||||
\(935\) | 1781.57i | 1.90542i | ||||||||
\(936\) | −174.423 | − | 286.224i | −0.186349 | − | 0.305795i | ||||
\(937\) | 735.537 | 0.784991 | 0.392496 | − | 0.919754i | \(-0.371612\pi\) | ||||
0.392496 | + | 0.919754i | \(0.371612\pi\) | |||||||
\(938\) | −1032.43 | + | 303.609i | −1.10067 | + | 0.323676i | ||||
\(939\) | 648.773 | + | 889.749i | 0.690919 | + | 0.947549i | ||||
\(940\) | 1229.40 | − | 791.515i | 1.30788 | − | 0.842037i | ||||
\(941\) | 246.674 | − | 142.418i | 0.262141 | − | 0.151347i | −0.363170 | − | 0.931723i | \(-0.618306\pi\) |
0.625311 | + | 0.780376i | \(0.284972\pi\) | |||||||
\(942\) | −489.231 | + | 202.499i | −0.519354 | + | 0.214967i | ||||
\(943\) | −614.817 | − | 354.965i | −0.651980 | − | 0.376421i | ||||
\(944\) | 351.655 | − | 34.1608i | 0.372516 | − | 0.0361873i | ||||
\(945\) | 721.147 | − | 238.421i | 0.763118 | − | 0.252297i | ||||
\(946\) | 134.417 | − | 141.088i | 0.142089 | − | 0.149141i | ||||
\(947\) | −327.212 | + | 566.748i | −0.345525 | + | 0.598466i | −0.985449 | − | 0.169972i | \(-0.945632\pi\) |
0.639924 | + | 0.768438i | \(0.278966\pi\) | |||||||
\(948\) | −237.414 | + | 614.392i | −0.250437 | + | 0.648093i | ||||
\(949\) | −459.811 | + | 265.472i | −0.484522 | + | 0.279739i | ||||
\(950\) | −78.1114 | − | 18.9157i | −0.0822226 | − | 0.0199113i | ||||
\(951\) | 188.384 | − | 137.363i | 0.198090 | − | 0.144440i | ||||
\(952\) | −266.922 | − | 768.163i | −0.280380 | − | 0.806894i | ||||
\(953\) | 883.663 | 0.927243 | 0.463622 | − | 0.886033i | \(-0.346550\pi\) | ||||
0.463622 | + | 0.886033i | \(0.346550\pi\) | |||||||
\(954\) | −902.541 | − | 551.270i | −0.946059 | − | 0.577851i | ||||
\(955\) | −548.981 | −0.574850 | ||||||||
\(956\) | −168.447 | + | 327.401i | −0.176200 | + | 0.342469i | ||||
\(957\) | 201.491 | + | 1885.96i | 0.210544 | + | 1.97070i | ||||
\(958\) | −223.186 | + | 921.634i | −0.232971 | + | 0.962040i | ||||
\(959\) | −381.017 | + | 219.980i | −0.397306 | + | 0.229385i | ||||
\(960\) | 1107.52 | − | 284.793i | 1.15366 | − | 0.296659i | ||||
\(961\) | 196.842 | − | 340.941i | 0.204831 | − | 0.354777i | ||||
\(962\) | 231.597 | − | 243.091i | 0.240745 | − | 0.252694i | ||||
\(963\) | 553.779 | + | 610.811i | 0.575056 | + | 0.634279i | ||||
\(964\) | 6.20514 | + | 128.054i | 0.00643687 | + | 0.132836i | ||||
\(965\) | −1394.41 | − | 805.065i | −1.44499 | − | 0.834264i | ||||
\(966\) | 973.837 | + | 128.462i | 1.00811 | + | 0.132983i | ||||
\(967\) | −93.5260 | + | 53.9973i | −0.0967177 | + | 0.0558400i | −0.547579 | − | 0.836754i | \(-0.684450\pi\) |
0.450861 | + | 0.892594i | \(0.351117\pi\) | |||||||
\(968\) | 108.563 | − | 567.029i | 0.112152 | − | 0.585773i | ||||
\(969\) | 100.370 | − | 226.478i | 0.103581 | − | 0.233724i | ||||
\(970\) | 657.394 | − | 193.321i | 0.677726 | − | 0.199300i | ||||
\(971\) | 384.915 | 0.396411 | 0.198206 | − | 0.980160i | \(-0.436489\pi\) | ||||
0.198206 | + | 0.980160i | \(0.436489\pi\) | |||||||
\(972\) | −970.422 | + | 55.3630i | −0.998377 | + | 0.0569578i | ||||
\(973\) | − | 208.644i | − | 0.214433i | ||||||
\(974\) | −129.502 | + | 38.0830i | −0.132959 | + | 0.0390995i | ||||
\(975\) | −133.731 | − | 59.2663i | −0.137160 | − | 0.0607859i | ||||
\(976\) | −708.072 | + | 505.967i | −0.725484 | + | 0.518409i | ||||
\(977\) | −791.946 | − | 1371.69i | −0.810589 | − | 1.40398i | −0.912452 | − | 0.409183i | \(-0.865814\pi\) |
0.101863 | − | 0.994798i | \(-0.467520\pi\) | |||||||
\(978\) | −201.390 | − | 26.5661i | −0.205921 | − | 0.0271637i | ||||
\(979\) | −331.760 | + | 574.626i | −0.338877 | + | 0.586952i | ||||
\(980\) | 635.158 | − | 30.7781i | 0.648120 | − | 0.0314062i | ||||
\(981\) | −1018.22 | + | 923.152i | −1.03794 | + | 0.941031i | ||||
\(982\) | −285.628 | + | 299.803i | −0.290863 | + | 0.305299i | ||||
\(983\) | 48.2339 | + | 27.8478i | 0.0490680 | + | 0.0283294i | 0.524333 | − | 0.851513i | \(-0.324315\pi\) |
−0.475265 | + | 0.879843i | \(0.657648\pi\) | |||||||
\(984\) | −403.937 | − | 280.121i | −0.410505 | − | 0.284676i | ||||
\(985\) | 417.567 | + | 723.247i | 0.423926 | + | 0.734261i | ||||
\(986\) | 460.848 | − | 1903.05i | 0.467392 | − | 1.93007i | ||||
\(987\) | 864.715 | − | 92.3838i | 0.876104 | − | 0.0936006i | ||||
\(988\) | −32.6858 | + | 63.5294i | −0.0330828 | + | 0.0643010i | ||||
\(989\) | − | 242.993i | − | 0.245696i | ||||||
\(990\) | −1271.58 | − | 776.679i | −1.28443 | − | 0.784524i | ||||
\(991\) | 1622.31i | 1.63704i | 0.574477 | + | 0.818521i | \(0.305205\pi\) | ||||
−0.574477 | + | 0.818521i | \(0.694795\pi\) | |||||||
\(992\) | 1092.53 | − | 439.981i | 1.10134 | − | 0.443529i | ||||
\(993\) | −887.833 | − | 1217.60i | −0.894091 | − | 1.22619i | ||||
\(994\) | −76.2310 | − | 18.4604i | −0.0766912 | − | 0.0185718i | ||||
\(995\) | −812.840 | − | 1407.88i | −0.816924 | − | 1.41495i | ||||
\(996\) | 350.011 | + | 135.251i | 0.351416 | + | 0.135795i | ||||
\(997\) | 1233.43 | + | 712.120i | 1.23714 | + | 0.714263i | 0.968508 | − | 0.248981i | \(-0.0800956\pi\) |
0.268631 | + | 0.963243i | \(0.413429\pi\) | |||||||
\(998\) | 377.163 | − | 395.882i | 0.377919 | − | 0.396675i | ||||
\(999\) | −305.633 | − | 924.442i | −0.305939 | − | 0.925367i |
(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 | 72.3.p.b.43.9 | ✓ | 40 | |
3.2 | odd | 2 | 216.3.p.b.19.12 | 40 | |||
4.3 | odd | 2 | 288.3.t.b.79.8 | 40 | |||
8.3 | odd | 2 | inner | 72.3.p.b.43.19 | yes | 40 | |
8.5 | even | 2 | 288.3.t.b.79.7 | 40 | |||
9.2 | odd | 6 | 648.3.b.e.163.17 | 20 | |||
9.4 | even | 3 | inner | 72.3.p.b.67.19 | yes | 40 | |
9.5 | odd | 6 | 216.3.p.b.91.2 | 40 | |||
9.7 | even | 3 | 648.3.b.f.163.4 | 20 | |||
12.11 | even | 2 | 864.3.t.b.559.5 | 40 | |||
24.5 | odd | 2 | 864.3.t.b.559.16 | 40 | |||
24.11 | even | 2 | 216.3.p.b.19.2 | 40 | |||
36.7 | odd | 6 | 2592.3.b.e.1135.16 | 20 | |||
36.11 | even | 6 | 2592.3.b.f.1135.5 | 20 | |||
36.23 | even | 6 | 864.3.t.b.847.16 | 40 | |||
36.31 | odd | 6 | 288.3.t.b.175.7 | 40 | |||
72.5 | odd | 6 | 864.3.t.b.847.5 | 40 | |||
72.11 | even | 6 | 648.3.b.e.163.18 | 20 | |||
72.13 | even | 6 | 288.3.t.b.175.8 | 40 | |||
72.29 | odd | 6 | 2592.3.b.f.1135.16 | 20 | |||
72.43 | odd | 6 | 648.3.b.f.163.3 | 20 | |||
72.59 | even | 6 | 216.3.p.b.91.12 | 40 | |||
72.61 | even | 6 | 2592.3.b.e.1135.5 | 20 | |||
72.67 | odd | 6 | inner | 72.3.p.b.67.9 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.3.p.b.43.9 | ✓ | 40 | 1.1 | even | 1 | trivial | |
72.3.p.b.43.19 | yes | 40 | 8.3 | odd | 2 | inner | |
72.3.p.b.67.9 | yes | 40 | 72.67 | odd | 6 | inner | |
72.3.p.b.67.19 | yes | 40 | 9.4 | even | 3 | inner | |
216.3.p.b.19.2 | 40 | 24.11 | even | 2 | |||
216.3.p.b.19.12 | 40 | 3.2 | odd | 2 | |||
216.3.p.b.91.2 | 40 | 9.5 | odd | 6 | |||
216.3.p.b.91.12 | 40 | 72.59 | even | 6 | |||
288.3.t.b.79.7 | 40 | 8.5 | even | 2 | |||
288.3.t.b.79.8 | 40 | 4.3 | odd | 2 | |||
288.3.t.b.175.7 | 40 | 36.31 | odd | 6 | |||
288.3.t.b.175.8 | 40 | 72.13 | even | 6 | |||
648.3.b.e.163.17 | 20 | 9.2 | odd | 6 | |||
648.3.b.e.163.18 | 20 | 72.11 | even | 6 | |||
648.3.b.f.163.3 | 20 | 72.43 | odd | 6 | |||
648.3.b.f.163.4 | 20 | 9.7 | even | 3 | |||
864.3.t.b.559.5 | 40 | 12.11 | even | 2 | |||
864.3.t.b.559.16 | 40 | 24.5 | odd | 2 | |||
864.3.t.b.847.5 | 40 | 72.5 | odd | 6 | |||
864.3.t.b.847.16 | 40 | 36.23 | even | 6 | |||
2592.3.b.e.1135.5 | 20 | 72.61 | even | 6 | |||
2592.3.b.e.1135.16 | 20 | 36.7 | odd | 6 | |||
2592.3.b.f.1135.5 | 20 | 36.11 | even | 6 | |||
2592.3.b.f.1135.16 | 20 | 72.29 | odd | 6 |