Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 173.10 | ||
Character | \(\chi\) | \(=\) | 210.173 |
Dual form | 210.3.w.a.17.10 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | + | 0.366025i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0.941591 | + | 2.84840i | 0.313864 | + | 0.949468i | ||||
\(4\) | 1.73205 | − | 1.00000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 2.72423 | + | 4.19268i | 0.544847 | + | 0.838536i | ||||
\(6\) | −2.32883 | − | 3.54635i | −0.388138 | − | 0.591058i | ||||
\(7\) | −5.35730 | + | 4.50548i | −0.765329 | + | 0.643640i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | −7.22681 | + | 5.36406i | −0.802979 | + | 0.596007i | ||||
\(10\) | −5.25600 | − | 4.73017i | −0.525600 | − | 0.473017i | ||||
\(11\) | −8.15539 | + | 4.70851i | −0.741399 | + | 0.428047i | −0.822578 | − | 0.568653i | \(-0.807465\pi\) |
0.0811789 | + | 0.996700i | \(0.474131\pi\) | |||||||
\(12\) | 4.47929 | + | 3.99199i | 0.373274 | + | 0.332666i | ||||
\(13\) | 16.1515 | − | 16.1515i | 1.24243 | − | 1.24243i | 0.283436 | − | 0.958991i | \(-0.408526\pi\) |
0.958991 | − | 0.283436i | \(-0.0914742\pi\) | |||||||
\(14\) | 5.66909 | − | 8.11550i | 0.404935 | − | 0.579679i | ||||
\(15\) | −9.37733 | + | 11.7075i | −0.625155 | + | 0.780500i | ||||
\(16\) | 2.00000 | − | 3.46410i | 0.125000 | − | 0.216506i | ||||
\(17\) | 9.03315 | + | 2.42042i | 0.531362 | + | 0.142378i | 0.514517 | − | 0.857480i | \(-0.327971\pi\) |
0.0168447 | + | 0.999858i | \(0.494638\pi\) | |||||||
\(18\) | 7.90863 | − | 9.97265i | 0.439368 | − | 0.554036i | ||||
\(19\) | −13.1762 | + | 22.8218i | −0.693482 | + | 1.20115i | 0.277208 | + | 0.960810i | \(0.410591\pi\) |
−0.970690 | + | 0.240336i | \(0.922742\pi\) | |||||||
\(20\) | 8.91119 | + | 4.53770i | 0.445559 | + | 0.226885i | ||||
\(21\) | −17.8778 | − | 11.0174i | −0.851324 | − | 0.524640i | ||||
\(22\) | 9.41703 | − | 9.41703i | 0.428047 | − | 0.428047i | ||||
\(23\) | −6.16910 | − | 23.0234i | −0.268222 | − | 1.00102i | −0.960249 | − | 0.279146i | \(-0.909949\pi\) |
0.692027 | − | 0.721872i | \(-0.256718\pi\) | |||||||
\(24\) | −7.57999 | − | 3.81363i | −0.315833 | − | 0.158901i | ||||
\(25\) | −10.1571 | + | 22.8437i | −0.406284 | + | 0.913747i | ||||
\(26\) | −16.1515 | + | 27.9753i | −0.621213 | + | 1.07597i | ||||
\(27\) | −22.0837 | − | 15.5341i | −0.817916 | − | 0.575338i | ||||
\(28\) | −4.77364 | + | 13.1610i | −0.170487 | + | 0.470036i | ||||
\(29\) | −34.0152 | −1.17294 | −0.586470 | − | 0.809971i | \(-0.699483\pi\) | ||||
−0.586470 | + | 0.809971i | \(0.699483\pi\) | |||||||
\(30\) | 8.52443 | − | 19.4251i | 0.284148 | − | 0.647503i | ||||
\(31\) | 2.88724 | − | 1.66695i | 0.0931366 | − | 0.0537724i | −0.452708 | − | 0.891659i | \(-0.649542\pi\) |
0.545845 | + | 0.837886i | \(0.316209\pi\) | |||||||
\(32\) | −1.46410 | + | 5.46410i | −0.0457532 | + | 0.170753i | ||||
\(33\) | −21.0908 | − | 18.7963i | −0.639115 | − | 0.569586i | ||||
\(34\) | −13.2254 | −0.388984 | ||||||||
\(35\) | −33.4846 | − | 10.1875i | −0.956702 | − | 0.291071i | ||||
\(36\) | −7.15314 | + | 16.5176i | −0.198698 | + | 0.458823i | ||||
\(37\) | 12.3909 | + | 46.2436i | 0.334890 | + | 1.24983i | 0.903988 | + | 0.427557i | \(0.140626\pi\) |
−0.569098 | + | 0.822270i | \(0.692708\pi\) | |||||||
\(38\) | 9.64561 | − | 35.9979i | 0.253832 | − | 0.947314i | ||||
\(39\) | 61.2143 | + | 30.7980i | 1.56960 | + | 0.789692i | ||||
\(40\) | −13.8338 | − | 2.93689i | −0.345846 | − | 0.0734223i | ||||
\(41\) | −3.31953 | −0.0809641 | −0.0404820 | − | 0.999180i | \(-0.512889\pi\) | ||||
−0.0404820 | + | 0.999180i | \(0.512889\pi\) | |||||||
\(42\) | 28.4542 | + | 8.50638i | 0.677481 | + | 0.202533i | ||||
\(43\) | 28.9282 | + | 28.9282i | 0.672749 | + | 0.672749i | 0.958349 | − | 0.285600i | \(-0.0921928\pi\) |
−0.285600 | + | 0.958349i | \(0.592193\pi\) | |||||||
\(44\) | −9.41703 | + | 16.3108i | −0.214023 | + | 0.370699i | ||||
\(45\) | −42.1773 | − | 15.6867i | −0.937274 | − | 0.348594i | ||||
\(46\) | 16.8543 | + | 29.1925i | 0.366398 | + | 0.634620i | ||||
\(47\) | −0.830153 | − | 3.09817i | −0.0176628 | − | 0.0659186i | 0.956532 | − | 0.291628i | \(-0.0941968\pi\) |
−0.974195 | + | 0.225709i | \(0.927530\pi\) | |||||||
\(48\) | 11.7503 | + | 2.43504i | 0.244799 | + | 0.0507300i | ||||
\(49\) | 8.40136 | − | 48.2744i | 0.171456 | − | 0.985192i | ||||
\(50\) | 5.51351 | − | 34.9228i | 0.110270 | − | 0.698456i | ||||
\(51\) | 1.61118 | + | 28.0091i | 0.0315919 | + | 0.549198i | ||||
\(52\) | 11.8238 | − | 44.1269i | 0.227380 | − | 0.848593i | ||||
\(53\) | 56.7679 | + | 15.2109i | 1.07109 | + | 0.286998i | 0.750942 | − | 0.660368i | \(-0.229600\pi\) |
0.320151 | + | 0.947367i | \(0.396266\pi\) | |||||||
\(54\) | 35.8528 | + | 13.1368i | 0.663941 | + | 0.243274i | ||||
\(55\) | −41.9585 | − | 21.3658i | −0.762881 | − | 0.388470i | ||||
\(56\) | 1.70365 | − | 19.7256i | 0.0304223 | − | 0.352242i | ||||
\(57\) | −77.4122 | − | 16.0422i | −1.35811 | − | 0.281443i | ||||
\(58\) | 46.4657 | − | 12.4504i | 0.801133 | − | 0.214663i | ||||
\(59\) | −33.5947 | + | 19.3959i | −0.569402 | + | 0.328744i | −0.756910 | − | 0.653519i | \(-0.773292\pi\) |
0.187508 | + | 0.982263i | \(0.439959\pi\) | |||||||
\(60\) | −4.53451 | + | 29.6553i | −0.0755751 | + | 0.494255i | ||||
\(61\) | 80.5416 | + | 46.5007i | 1.32035 | + | 0.762307i | 0.983785 | − | 0.179352i | \(-0.0574002\pi\) |
0.336569 | + | 0.941659i | \(0.390733\pi\) | |||||||
\(62\) | −3.33389 | + | 3.33389i | −0.0537724 | + | 0.0537724i | ||||
\(63\) | 14.5485 | − | 61.2971i | 0.230929 | − | 0.972971i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 111.719 | + | 23.7177i | 1.71875 | + | 0.364887i | ||||
\(66\) | 35.6905 | + | 17.9565i | 0.540765 | + | 0.272068i | ||||
\(67\) | 3.66385 | + | 0.981726i | 0.0546844 | + | 0.0146526i | 0.286058 | − | 0.958212i | \(-0.407655\pi\) |
−0.231373 | + | 0.972865i | \(0.574322\pi\) | |||||||
\(68\) | 18.0663 | − | 4.84085i | 0.265681 | − | 0.0711890i | ||||
\(69\) | 59.7712 | − | 39.2507i | 0.866249 | − | 0.568851i | ||||
\(70\) | 49.4696 | + | 1.66015i | 0.706709 | + | 0.0237165i | ||||
\(71\) | − | 26.4798i | − | 0.372956i | −0.982459 | − | 0.186478i | \(-0.940293\pi\) | ||
0.982459 | − | 0.186478i | \(-0.0597072\pi\) | |||||||
\(72\) | 3.72550 | − | 25.1818i | 0.0517430 | − | 0.349747i | ||||
\(73\) | 27.3096 | + | 7.31758i | 0.374104 | + | 0.100241i | 0.440972 | − | 0.897521i | \(-0.354634\pi\) |
−0.0668679 | + | 0.997762i | \(0.521301\pi\) | |||||||
\(74\) | −33.8527 | − | 58.6345i | −0.457468 | − | 0.792358i | ||||
\(75\) | −74.6318 | − | 7.42216i | −0.995091 | − | 0.0989621i | ||||
\(76\) | 52.7046i | 0.693482i | ||||||||
\(77\) | 22.4768 | − | 61.9688i | 0.291906 | − | 0.804790i | ||||
\(78\) | −94.8931 | − | 19.6648i | −1.21658 | − | 0.252113i | ||||
\(79\) | 38.5758 | + | 22.2717i | 0.488301 | + | 0.281921i | 0.723869 | − | 0.689937i | \(-0.242362\pi\) |
−0.235568 | + | 0.971858i | \(0.575695\pi\) | |||||||
\(80\) | 19.9723 | − | 1.05166i | 0.249654 | − | 0.0131458i | ||||
\(81\) | 23.4536 | − | 77.5302i | 0.289551 | − | 0.957163i | ||||
\(82\) | 4.53456 | − | 1.21503i | 0.0552995 | − | 0.0148175i | ||||
\(83\) | 70.6898 | + | 70.6898i | 0.851684 | + | 0.851684i | 0.990341 | − | 0.138656i | \(-0.0442783\pi\) |
−0.138656 | + | 0.990341i | \(0.544278\pi\) | |||||||
\(84\) | −41.9827 | − | 1.20496i | −0.499794 | − | 0.0143448i | ||||
\(85\) | 14.4603 | + | 44.4669i | 0.170122 | + | 0.523140i | ||||
\(86\) | −50.1051 | − | 28.9282i | −0.582618 | − | 0.336375i | ||||
\(87\) | −32.0285 | − | 96.8892i | −0.368143 | − | 1.11367i | ||||
\(88\) | 6.89374 | − | 25.7278i | 0.0783380 | − | 0.292361i | ||||
\(89\) | 118.139 | + | 68.2077i | 1.32741 | + | 0.766378i | 0.984898 | − | 0.173136i | \(-0.0553901\pi\) |
0.342509 | + | 0.939515i | \(0.388723\pi\) | |||||||
\(90\) | 63.3570 | + | 5.99052i | 0.703967 | + | 0.0665613i | ||||
\(91\) | −13.7583 | + | 159.299i | −0.151190 | + | 1.75054i | ||||
\(92\) | −33.7086 | − | 33.7086i | −0.366398 | − | 0.366398i | ||||
\(93\) | 7.46673 | + | 6.65443i | 0.0802874 | + | 0.0715530i | ||||
\(94\) | 2.26802 | + | 3.92833i | 0.0241279 | + | 0.0417907i | ||||
\(95\) | −131.579 | + | 6.92843i | −1.38504 | + | 0.0729309i | ||||
\(96\) | −16.9426 | + | 0.974597i | −0.176485 | + | 0.0101521i | ||||
\(97\) | −118.552 | − | 118.552i | −1.22219 | − | 1.22219i | −0.966853 | − | 0.255332i | \(-0.917815\pi\) |
−0.255332 | − | 0.966853i | \(-0.582185\pi\) | |||||||
\(98\) | 6.19318 | + | 69.0192i | 0.0631958 | + | 0.704277i | ||||
\(99\) | 33.6807 | − | 77.7736i | 0.340209 | − | 0.785592i | ||||
\(100\) | 5.25104 | + | 49.7235i | 0.0525104 | + | 0.497235i | ||||
\(101\) | −18.5919 | − | 32.2022i | −0.184078 | − | 0.318833i | 0.759187 | − | 0.650872i | \(-0.225597\pi\) |
−0.943266 | + | 0.332039i | \(0.892263\pi\) | |||||||
\(102\) | −12.4530 | − | 37.6714i | −0.122088 | − | 0.369328i | ||||
\(103\) | 8.29623 | + | 30.9619i | 0.0805459 | + | 0.300601i | 0.994434 | − | 0.105366i | \(-0.0336014\pi\) |
−0.913888 | + | 0.405967i | \(0.866935\pi\) | |||||||
\(104\) | 64.6062i | 0.621213i | ||||||||
\(105\) | −2.51071 | − | 104.970i | −0.0239115 | − | 0.999714i | ||||
\(106\) | −83.1140 | −0.784094 | ||||||||
\(107\) | 172.109 | − | 46.1165i | 1.60850 | − | 0.430995i | 0.660902 | − | 0.750472i | \(-0.270174\pi\) |
0.947594 | + | 0.319477i | \(0.103507\pi\) | |||||||
\(108\) | −53.7843 | − | 4.82217i | −0.498002 | − | 0.0446497i | ||||
\(109\) | 8.16589 | − | 4.71458i | 0.0749165 | − | 0.0432530i | −0.462074 | − | 0.886841i | \(-0.652894\pi\) |
0.536990 | + | 0.843588i | \(0.319561\pi\) | |||||||
\(110\) | 65.1368 | + | 13.8284i | 0.592152 | + | 0.125713i | ||||
\(111\) | −120.053 | + | 78.8369i | −1.08156 | + | 0.710243i | ||||
\(112\) | 4.89283 | + | 27.5692i | 0.0436859 | + | 0.246153i | ||||
\(113\) | 89.8897 | − | 89.8897i | 0.795485 | − | 0.795485i | −0.186895 | − | 0.982380i | \(-0.559843\pi\) |
0.982380 | + | 0.186895i | \(0.0598425\pi\) | |||||||
\(114\) | 111.619 | − | 6.42072i | 0.979113 | − | 0.0563221i | ||||
\(115\) | 79.7237 | − | 88.5862i | 0.693249 | − | 0.770315i | ||||
\(116\) | −58.9161 | + | 34.0152i | −0.507898 | + | 0.293235i | ||||
\(117\) | −30.0863 | + | 203.362i | −0.257148 | + | 1.73814i | ||||
\(118\) | 38.7918 | − | 38.7918i | 0.328744 | − | 0.328744i | ||||
\(119\) | −59.2985 | + | 27.7317i | −0.498306 | + | 0.233039i | ||||
\(120\) | −4.66035 | − | 42.1697i | −0.0388363 | − | 0.351414i | ||||
\(121\) | −16.1598 | + | 27.9896i | −0.133552 | + | 0.231319i | ||||
\(122\) | −127.042 | − | 34.0409i | −1.04133 | − | 0.279024i | ||||
\(123\) | −3.12564 | − | 9.45535i | −0.0254117 | − | 0.0768728i | ||||
\(124\) | 3.33389 | − | 5.77447i | 0.0268862 | − | 0.0465683i | ||||
\(125\) | −123.446 | + | 19.6460i | −0.987572 | + | 0.157168i | ||||
\(126\) | 2.56263 | + | 89.0586i | 0.0203383 | + | 0.706814i | ||||
\(127\) | −25.5424 | + | 25.5424i | −0.201122 | + | 0.201122i | −0.800480 | − | 0.599359i | \(-0.795422\pi\) |
0.599359 | + | 0.800480i | \(0.295422\pi\) | |||||||
\(128\) | 2.92820 | + | 10.9282i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | −55.1607 | + | 109.638i | −0.427602 | + | 0.849906i | ||||
\(130\) | −161.292 | + | 8.49299i | −1.24071 | + | 0.0653307i | ||||
\(131\) | −73.8696 | + | 127.946i | −0.563890 | + | 0.976686i | 0.433262 | + | 0.901268i | \(0.357363\pi\) |
−0.997152 | + | 0.0754183i | \(0.975971\pi\) | |||||||
\(132\) | −55.3267 | − | 11.4654i | −0.419141 | − | 0.0868593i | ||||
\(133\) | −32.2343 | − | 181.628i | −0.242363 | − | 1.36562i | ||||
\(134\) | −5.36425 | −0.0400317 | ||||||||
\(135\) | 4.96838 | − | 134.909i | 0.0368028 | − | 0.999323i | ||||
\(136\) | −22.9071 | + | 13.2254i | −0.168435 | + | 0.0972459i | ||||
\(137\) | −55.4124 | + | 206.802i | −0.404470 | + | 1.50950i | 0.400561 | + | 0.916270i | \(0.368815\pi\) |
−0.805031 | + | 0.593233i | \(0.797851\pi\) | |||||||
\(138\) | −67.2822 | + | 75.4953i | −0.487552 | + | 0.547067i | ||||
\(139\) | 14.1012 | 0.101447 | 0.0507237 | − | 0.998713i | \(-0.483847\pi\) | ||||
0.0507237 | + | 0.998713i | \(0.483847\pi\) | |||||||
\(140\) | −68.1844 | + | 15.8393i | −0.487032 | + | 0.113138i | ||||
\(141\) | 8.04318 | − | 5.28182i | 0.0570439 | − | 0.0374597i | ||||
\(142\) | 9.69230 | + | 36.1721i | 0.0682556 | + | 0.254733i | ||||
\(143\) | −55.6723 | + | 207.772i | −0.389317 | + | 1.45295i | ||||
\(144\) | 4.12804 | + | 35.7625i | 0.0286669 | + | 0.248351i | ||||
\(145\) | −92.6655 | − | 142.615i | −0.639072 | − | 0.983552i | ||||
\(146\) | −39.9840 | −0.273863 | ||||||||
\(147\) | 145.416 | − | 21.5243i | 0.989222 | − | 0.146424i | ||||
\(148\) | 67.7053 | + | 67.7053i | 0.457468 | + | 0.457468i | ||||
\(149\) | 49.5021 | − | 85.7402i | 0.332229 | − | 0.575437i | −0.650720 | − | 0.759318i | \(-0.725533\pi\) |
0.982949 | + | 0.183881i | \(0.0588660\pi\) | |||||||
\(150\) | 104.666 | − | 17.1783i | 0.697771 | − | 0.114522i | ||||
\(151\) | 82.2460 | + | 142.454i | 0.544675 | + | 0.943406i | 0.998627 | + | 0.0523793i | \(0.0166805\pi\) |
−0.453952 | + | 0.891026i | \(0.649986\pi\) | |||||||
\(152\) | −19.2912 | − | 71.9958i | −0.126916 | − | 0.473657i | ||||
\(153\) | −78.2642 | + | 30.9624i | −0.511531 | + | 0.202369i | ||||
\(154\) | −8.02166 | + | 92.8781i | −0.0520887 | + | 0.603104i | ||||
\(155\) | 14.8545 | + | 7.56410i | 0.0958353 | + | 0.0488006i | ||||
\(156\) | 136.824 | − | 7.87062i | 0.877079 | − | 0.0504527i | ||||
\(157\) | −18.0786 | + | 67.4702i | −0.115150 | + | 0.429746i | −0.999298 | − | 0.0374608i | \(-0.988073\pi\) |
0.884148 | + | 0.467207i | \(0.154740\pi\) | |||||||
\(158\) | −60.8475 | − | 16.3040i | −0.385111 | − | 0.103190i | ||||
\(159\) | 10.1253 | + | 176.020i | 0.0636813 | + | 1.10705i | ||||
\(160\) | −26.8978 | + | 8.74698i | −0.168111 | + | 0.0546686i | ||||
\(161\) | 136.781 | + | 95.5486i | 0.849572 | + | 0.593469i | ||||
\(162\) | −3.66024 | + | 114.493i | −0.0225941 | + | 0.706746i | ||||
\(163\) | −149.425 | + | 40.0383i | −0.916719 | + | 0.245634i | −0.686182 | − | 0.727430i | \(-0.740715\pi\) |
−0.230536 | + | 0.973064i | \(0.574048\pi\) | |||||||
\(164\) | −5.74959 | + | 3.31953i | −0.0350585 | + | 0.0202410i | ||||
\(165\) | 21.3508 | − | 139.633i | 0.129399 | − | 0.846258i | ||||
\(166\) | −122.438 | − | 70.6898i | −0.737580 | − | 0.425842i | ||||
\(167\) | 55.1776 | − | 55.1776i | 0.330405 | − | 0.330405i | −0.522336 | − | 0.852740i | \(-0.674939\pi\) |
0.852740 | + | 0.522336i | \(0.174939\pi\) | |||||||
\(168\) | 57.7905 | − | 13.7207i | 0.343991 | − | 0.0816710i | ||||
\(169\) | − | 352.745i | − | 2.08725i | ||||||
\(170\) | −36.0292 | − | 55.4500i | −0.211936 | − | 0.326177i | ||||
\(171\) | −27.1958 | − | 235.606i | −0.159040 | − | 1.37781i | ||||
\(172\) | 79.0334 | + | 21.1769i | 0.459496 | + | 0.123122i | ||||
\(173\) | 128.947 | − | 34.5513i | 0.745359 | − | 0.199718i | 0.133901 | − | 0.990995i | \(-0.457250\pi\) |
0.611459 | + | 0.791276i | \(0.290583\pi\) | |||||||
\(174\) | 79.2156 | + | 120.630i | 0.455262 | + | 0.693275i | ||||
\(175\) | −48.5069 | − | 168.143i | −0.277182 | − | 0.960817i | ||||
\(176\) | 37.6681i | 0.214023i | ||||||||
\(177\) | −86.8799 | − | 77.4283i | −0.490847 | − | 0.437448i | ||||
\(178\) | −186.347 | − | 49.9315i | −1.04689 | − | 0.280514i | ||||
\(179\) | −127.018 | − | 220.002i | −0.709598 | − | 1.22906i | −0.965006 | − | 0.262226i | \(-0.915543\pi\) |
0.255409 | − | 0.966833i | \(-0.417790\pi\) | |||||||
\(180\) | −88.7400 | + | 15.0071i | −0.493000 | + | 0.0833727i | ||||
\(181\) | − | 307.420i | − | 1.69846i | −0.528027 | − | 0.849228i | \(-0.677068\pi\) | ||
0.528027 | − | 0.849228i | \(-0.322932\pi\) | |||||||
\(182\) | −39.5134 | − | 222.643i | −0.217106 | − | 1.22331i | ||||
\(183\) | −56.6156 | + | 273.200i | −0.309375 | + | 1.49289i | ||||
\(184\) | 58.3850 | + | 33.7086i | 0.317310 | + | 0.183199i | ||||
\(185\) | −160.129 | + | 177.930i | −0.865561 | + | 0.961781i | ||||
\(186\) | −12.6354 | − | 6.35711i | −0.0679324 | − | 0.0341780i | ||||
\(187\) | −85.0654 | + | 22.7932i | −0.454895 | + | 0.121889i | ||||
\(188\) | −4.53604 | − | 4.53604i | −0.0241279 | − | 0.0241279i | ||||
\(189\) | 188.298 | − | 16.2767i | 0.996285 | − | 0.0861202i | ||||
\(190\) | 177.205 | − | 57.6258i | 0.932656 | − | 0.303293i | ||||
\(191\) | −124.117 | − | 71.6590i | −0.649828 | − | 0.375178i | 0.138563 | − | 0.990354i | \(-0.455752\pi\) |
−0.788390 | + | 0.615176i | \(0.789085\pi\) | |||||||
\(192\) | 22.7872 | − | 7.53273i | 0.118684 | − | 0.0392330i | ||||
\(193\) | 73.6622 | − | 274.911i | 0.381670 | − | 1.42441i | −0.461681 | − | 0.887046i | \(-0.652753\pi\) |
0.843350 | − | 0.537364i | \(-0.180580\pi\) | |||||||
\(194\) | 205.338 | + | 118.552i | 1.05844 | + | 0.611093i | ||||
\(195\) | 37.6360 | + | 340.553i | 0.193005 | + | 1.74642i | ||||
\(196\) | −33.7228 | − | 92.0151i | −0.172055 | − | 0.469465i | ||||
\(197\) | 126.936 | + | 126.936i | 0.644345 | + | 0.644345i | 0.951621 | − | 0.307276i | \(-0.0994173\pi\) |
−0.307276 | + | 0.951621i | \(0.599417\pi\) | |||||||
\(198\) | −17.5416 | + | 118.569i | −0.0885937 | + | 0.598832i | ||||
\(199\) | 43.5943 | + | 75.5075i | 0.219067 | + | 0.379435i | 0.954523 | − | 0.298137i | \(-0.0963654\pi\) |
−0.735456 | + | 0.677572i | \(0.763032\pi\) | |||||||
\(200\) | −25.3731 | − | 66.0016i | −0.126866 | − | 0.330008i | ||||
\(201\) | 0.653498 | + | 11.3605i | 0.00325123 | + | 0.0565200i | ||||
\(202\) | 37.1839 | + | 37.1839i | 0.184078 | + | 0.184078i | ||||
\(203\) | 182.230 | − | 153.255i | 0.897684 | − | 0.754950i | ||||
\(204\) | 30.7998 | + | 46.9020i | 0.150979 | + | 0.229912i | ||||
\(205\) | −9.04316 | − | 13.9177i | −0.0441130 | − | 0.0678913i | ||||
\(206\) | −22.6657 | − | 39.2582i | −0.110028 | − | 0.190574i | ||||
\(207\) | 168.082 | + | 133.294i | 0.811990 | + | 0.643934i | ||||
\(208\) | −23.6475 | − | 88.2537i | −0.113690 | − | 0.424297i | ||||
\(209\) | − | 248.160i | − | 1.18737i | ||||||
\(210\) | 41.8514 | + | 142.473i | 0.199292 | + | 0.678441i | ||||
\(211\) | 285.530 | 1.35322 | 0.676612 | − | 0.736340i | \(-0.263448\pi\) | ||||
0.676612 | + | 0.736340i | \(0.263448\pi\) | |||||||
\(212\) | 113.536 | − | 30.4218i | 0.535546 | − | 0.143499i | ||||
\(213\) | 75.4253 | − | 24.9332i | 0.354109 | − | 0.117057i | ||||
\(214\) | −218.226 | + | 125.993i | −1.01975 | + | 0.588750i | ||||
\(215\) | −42.4795 | + | 200.094i | −0.197579 | + | 0.930669i | ||||
\(216\) | 75.2357 | − | 13.0992i | 0.348313 | − | 0.0606444i | ||||
\(217\) | −7.95740 | + | 21.9387i | −0.0366701 | + | 0.101100i | ||||
\(218\) | −9.42916 | + | 9.42916i | −0.0432530 | + | 0.0432530i | ||||
\(219\) | 4.87103 | + | 84.6789i | 0.0222422 | + | 0.386661i | ||||
\(220\) | −94.0400 | + | 4.95177i | −0.427455 | + | 0.0225080i | ||||
\(221\) | 184.993 | − | 106.806i | 0.837072 | − | 0.483284i | ||||
\(222\) | 135.139 | − | 151.636i | 0.608736 | − | 0.683044i | ||||
\(223\) | −92.5468 | + | 92.5468i | −0.415008 | + | 0.415008i | −0.883479 | − | 0.468471i | \(-0.844805\pi\) |
0.468471 | + | 0.883479i | \(0.344805\pi\) | |||||||
\(224\) | −16.7747 | − | 35.8693i | −0.0748873 | − | 0.160131i | ||||
\(225\) | −49.1314 | − | 219.570i | −0.218362 | − | 0.975868i | ||||
\(226\) | −89.8897 | + | 155.694i | −0.397742 | + | 0.688910i | ||||
\(227\) | −20.2708 | − | 5.43155i | −0.0892988 | − | 0.0239275i | 0.213893 | − | 0.976857i | \(-0.431386\pi\) |
−0.303192 | + | 0.952930i | \(0.598052\pi\) | |||||||
\(228\) | −150.124 | + | 49.6262i | −0.658439 | + | 0.217659i | ||||
\(229\) | −148.758 | + | 257.656i | −0.649596 | + | 1.12513i | 0.333623 | + | 0.942707i | \(0.391729\pi\) |
−0.983219 | + | 0.182427i | \(0.941605\pi\) | |||||||
\(230\) | −76.4798 | + | 150.192i | −0.332521 | + | 0.653008i | ||||
\(231\) | 197.676 | + | 5.67359i | 0.855741 | + | 0.0245610i | ||||
\(232\) | 68.0305 | − | 68.0305i | 0.293235 | − | 0.293235i | ||||
\(233\) | −4.96446 | − | 18.5276i | −0.0213067 | − | 0.0795176i | 0.954454 | − | 0.298358i | \(-0.0964391\pi\) |
−0.975761 | + | 0.218841i | \(0.929772\pi\) | |||||||
\(234\) | −33.3371 | − | 288.810i | −0.142466 | − | 1.23423i | ||||
\(235\) | 10.7281 | − | 11.9207i | 0.0456515 | − | 0.0507264i | ||||
\(236\) | −38.7918 | + | 67.1894i | −0.164372 | + | 0.284701i | ||||
\(237\) | −27.1163 | + | 130.850i | −0.114415 | + | 0.552111i | ||||
\(238\) | 70.8527 | − | 59.5869i | 0.297700 | − | 0.250365i | ||||
\(239\) | −138.243 | −0.578425 | −0.289212 | − | 0.957265i | \(-0.593393\pi\) | ||||
−0.289212 | + | 0.957265i | \(0.593393\pi\) | |||||||
\(240\) | 21.8013 | + | 55.8990i | 0.0908389 | + | 0.232913i | ||||
\(241\) | −195.863 | + | 113.081i | −0.812708 | + | 0.469217i | −0.847896 | − | 0.530163i | \(-0.822131\pi\) |
0.0351871 | + | 0.999381i | \(0.488797\pi\) | |||||||
\(242\) | 11.8298 | − | 44.1493i | 0.0488834 | − | 0.182435i | ||||
\(243\) | 242.921 | − | 6.19632i | 0.999675 | − | 0.0254993i | ||||
\(244\) | 186.003 | 0.762307 | ||||||||
\(245\) | 225.286 | − | 96.2865i | 0.919536 | − | 0.393006i | ||||
\(246\) | 7.73060 | + | 11.7722i | 0.0314252 | + | 0.0478544i | ||||
\(247\) | 155.792 | + | 581.422i | 0.630735 | + | 2.35394i | ||||
\(248\) | −2.44058 | + | 9.10836i | −0.00984104 | + | 0.0367273i | ||||
\(249\) | −134.792 | + | 267.914i | −0.541334 | + | 1.07596i | ||||
\(250\) | 161.440 | − | 72.0215i | 0.645760 | − | 0.288086i | ||||
\(251\) | −172.595 | −0.687631 | −0.343816 | − | 0.939037i | \(-0.611720\pi\) | ||||
−0.343816 | + | 0.939037i | \(0.611720\pi\) | |||||||
\(252\) | −36.0983 | − | 120.718i | −0.143247 | − | 0.479041i | ||||
\(253\) | 158.717 | + | 158.717i | 0.627342 | + | 0.627342i | ||||
\(254\) | 25.5424 | − | 44.2408i | 0.100561 | − | 0.174176i | ||||
\(255\) | −113.044 | + | 83.0585i | −0.443310 | + | 0.325720i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −122.676 | − | 457.834i | −0.477339 | − | 1.78145i | −0.612324 | − | 0.790607i | \(-0.709765\pi\) |
0.134985 | − | 0.990848i | \(-0.456901\pi\) | |||||||
\(258\) | 35.2207 | − | 169.958i | 0.136514 | − | 0.658753i | ||||
\(259\) | −274.731 | − | 191.914i | −1.06074 | − | 0.740980i | ||||
\(260\) | 217.220 | − | 70.6386i | 0.835463 | − | 0.271687i | ||||
\(261\) | 245.822 | − | 182.460i | 0.941846 | − | 0.699080i | ||||
\(262\) | 54.0763 | − | 201.816i | 0.206398 | − | 0.770288i | ||||
\(263\) | 272.280 | + | 72.9572i | 1.03529 | + | 0.277404i | 0.736158 | − | 0.676809i | \(-0.236638\pi\) |
0.299127 | + | 0.954213i | \(0.403305\pi\) | |||||||
\(264\) | 79.7743 | − | 4.58890i | 0.302175 | − | 0.0173822i | ||||
\(265\) | 90.8746 | + | 279.448i | 0.342923 | + | 1.05452i | ||||
\(266\) | 110.513 | + | 236.310i | 0.415464 | + | 0.888383i | ||||
\(267\) | −83.0442 | + | 400.732i | −0.311027 | + | 1.50087i | ||||
\(268\) | 7.32770 | − | 1.96345i | 0.0273422 | − | 0.00732631i | ||||
\(269\) | −106.164 | + | 61.2938i | −0.394662 | + | 0.227858i | −0.684178 | − | 0.729315i | \(-0.739839\pi\) |
0.289516 | + | 0.957173i | \(0.406506\pi\) | |||||||
\(270\) | 42.5930 | + | 186.107i | 0.157752 | + | 0.689285i | ||||
\(271\) | −88.7006 | − | 51.2113i | −0.327308 | − | 0.188972i | 0.327337 | − | 0.944908i | \(-0.393849\pi\) |
−0.654645 | + | 0.755936i | \(0.727182\pi\) | |||||||
\(272\) | 26.4509 | − | 26.4509i | 0.0972459 | − | 0.0972459i | ||||
\(273\) | −466.703 | + | 110.805i | −1.70953 | + | 0.405881i | ||||
\(274\) | − | 302.779i | − | 1.10503i | ||||||
\(275\) | −24.7246 | − | 234.124i | −0.0899076 | − | 0.851359i | ||||
\(276\) | 64.2760 | − | 127.755i | 0.232884 | − | 0.462882i | ||||
\(277\) | 210.515 | + | 56.4074i | 0.759983 | + | 0.203637i | 0.617942 | − | 0.786224i | \(-0.287967\pi\) |
0.142042 | + | 0.989861i | \(0.454633\pi\) | |||||||
\(278\) | −19.2626 | + | 5.16139i | −0.0692898 | + | 0.0185662i | ||||
\(279\) | −11.9239 | + | 27.5340i | −0.0427380 | + | 0.0986882i | ||||
\(280\) | 87.3441 | − | 46.5942i | 0.311943 | − | 0.166408i | ||||
\(281\) | − | 160.860i | − | 0.572457i | −0.958161 | − | 0.286228i | \(-0.907598\pi\) | ||
0.958161 | − | 0.286228i | \(-0.0924016\pi\) | |||||||
\(282\) | −9.05391 | + | 10.1591i | −0.0321061 | + | 0.0360252i | ||||
\(283\) | −114.655 | − | 30.7218i | −0.405143 | − | 0.108558i | 0.0504921 | − | 0.998724i | \(-0.483921\pi\) |
−0.455635 | + | 0.890167i | \(0.650588\pi\) | |||||||
\(284\) | −26.4798 | − | 45.8644i | −0.0932389 | − | 0.161494i | ||||
\(285\) | −143.629 | − | 368.267i | −0.503961 | − | 1.29217i | ||||
\(286\) | − | 304.199i | − | 1.06363i | ||||||
\(287\) | 17.7837 | − | 14.9561i | 0.0619641 | − | 0.0521117i | ||||
\(288\) | −18.7290 | − | 47.3416i | −0.0650313 | − | 0.164380i | ||||
\(289\) | −174.542 | − | 100.772i | −0.603952 | − | 0.348692i | ||||
\(290\) | 178.784 | + | 160.898i | 0.616497 | + | 0.554820i | ||||
\(291\) | 226.056 | − | 449.311i | 0.776826 | − | 1.54403i | ||||
\(292\) | 54.6191 | − | 14.6352i | 0.187052 | − | 0.0501204i | ||||
\(293\) | −38.3008 | − | 38.3008i | −0.130719 | − | 0.130719i | 0.638720 | − | 0.769439i | \(-0.279464\pi\) |
−0.769439 | + | 0.638720i | \(0.779464\pi\) | |||||||
\(294\) | −190.763 | + | 82.6285i | −0.648854 | + | 0.281049i | ||||
\(295\) | −172.841 | − | 88.0129i | −0.585901 | − | 0.298349i | ||||
\(296\) | −117.269 | − | 67.7053i | −0.396179 | − | 0.228734i | ||||
\(297\) | 253.244 | + | 22.7053i | 0.852673 | + | 0.0764487i | ||||
\(298\) | −36.2381 | + | 135.242i | −0.121604 | + | 0.453833i | ||||
\(299\) | −471.504 | − | 272.223i | −1.57694 | − | 0.910445i | ||||
\(300\) | −136.688 | + | 61.7763i | −0.455628 | + | 0.205921i | ||||
\(301\) | −285.313 | − | 24.6418i | −0.947882 | − | 0.0818664i | ||||
\(302\) | −164.492 | − | 164.492i | −0.544675 | − | 0.544675i | ||||
\(303\) | 74.2188 | − | 83.2786i | 0.244946 | − | 0.274847i | ||||
\(304\) | 52.7046 | + | 91.2871i | 0.173370 | + | 0.300286i | ||||
\(305\) | 24.4515 | + | 464.364i | 0.0801689 | + | 1.52250i | ||||
\(306\) | 95.5778 | − | 70.9421i | 0.312346 | − | 0.231837i | ||||
\(307\) | −178.315 | − | 178.315i | −0.580830 | − | 0.580830i | 0.354301 | − | 0.935131i | \(-0.384719\pi\) |
−0.935131 | + | 0.354301i | \(0.884719\pi\) | |||||||
\(308\) | −23.0379 | − | 129.810i | −0.0747985 | − | 0.421461i | ||||
\(309\) | −80.3805 | + | 52.7845i | −0.260131 | + | 0.170824i | ||||
\(310\) | −23.0602 | − | 4.89564i | −0.0743879 | − | 0.0157924i | ||||
\(311\) | 36.9045 | + | 63.9205i | 0.118664 | + | 0.205532i | 0.919238 | − | 0.393701i | \(-0.128806\pi\) |
−0.800574 | + | 0.599233i | \(0.795472\pi\) | |||||||
\(312\) | −184.025 | + | 60.8326i | −0.589822 | + | 0.194976i | ||||
\(313\) | 57.2987 | + | 213.842i | 0.183063 | + | 0.683201i | 0.995037 | + | 0.0995068i | \(0.0317265\pi\) |
−0.811974 | + | 0.583694i | \(0.801607\pi\) | |||||||
\(314\) | − | 98.7832i | − | 0.314596i | ||||||
\(315\) | 296.633 | − | 105.990i | 0.941692 | − | 0.336477i | ||||
\(316\) | 89.0870 | 0.281921 | ||||||||
\(317\) | −137.782 | + | 36.9186i | −0.434644 | + | 0.116463i | −0.469505 | − | 0.882930i | \(-0.655568\pi\) |
0.0348611 | + | 0.999392i | \(0.488901\pi\) | |||||||
\(318\) | −78.2594 | − | 236.742i | −0.246099 | − | 0.744473i | ||||
\(319\) | 277.408 | − | 160.161i | 0.869616 | − | 0.502073i | ||||
\(320\) | 33.5414 | − | 21.7939i | 0.104817 | − | 0.0681058i | ||||
\(321\) | 293.415 | + | 446.813i | 0.914065 | + | 1.39194i | ||||
\(322\) | −221.820 | − | 80.4564i | −0.688881 | − | 0.249865i | ||||
\(323\) | −174.260 | + | 174.260i | −0.539506 | + | 0.539506i | ||||
\(324\) | −36.9073 | − | 157.740i | −0.113911 | − | 0.486851i | ||||
\(325\) | 204.908 | + | 533.014i | 0.630485 | + | 1.64004i | ||||
\(326\) | 189.463 | − | 109.387i | 0.581176 | − | 0.335542i | ||||
\(327\) | 21.1180 | + | 18.8206i | 0.0645809 | + | 0.0575552i | ||||
\(328\) | 6.63905 | − | 6.63905i | 0.0202410 | − | 0.0202410i | ||||
\(329\) | 18.4061 | + | 12.8576i | 0.0559457 | + | 0.0390809i | ||||
\(330\) | 21.9433 | + | 198.557i | 0.0664950 | + | 0.601686i | ||||
\(331\) | 260.816 | − | 451.747i | 0.787964 | − | 1.36479i | −0.139248 | − | 0.990258i | \(-0.544468\pi\) |
0.927212 | − | 0.374537i | \(-0.122198\pi\) | |||||||
\(332\) | 193.128 | + | 51.7485i | 0.581711 | + | 0.155869i | ||||
\(333\) | −337.601 | − | 267.728i | −1.01382 | − | 0.803988i | ||||
\(334\) | −55.1776 | + | 95.5703i | −0.165202 | + | 0.286139i | ||||
\(335\) | 5.86512 | + | 18.0358i | 0.0175078 | + | 0.0538382i | ||||
\(336\) | −73.9212 | + | 39.8957i | −0.220003 | + | 0.118737i | ||||
\(337\) | −132.357 | + | 132.357i | −0.392750 | + | 0.392750i | −0.875667 | − | 0.482916i | \(-0.839578\pi\) |
0.482916 | + | 0.875667i | \(0.339578\pi\) | |||||||
\(338\) | 129.114 | + | 481.859i | 0.381993 | + | 1.42562i | ||||
\(339\) | 340.682 | + | 171.403i | 1.00496 | + | 0.505613i | ||||
\(340\) | 69.5129 | + | 62.5586i | 0.204450 | + | 0.183996i | ||||
\(341\) | −15.6977 | + | 27.1892i | −0.0460343 | + | 0.0797337i | ||||
\(342\) | 123.388 | + | 311.890i | 0.360784 | + | 0.911959i | ||||
\(343\) | 172.491 | + | 296.473i | 0.502888 | + | 0.864352i | ||||
\(344\) | −115.713 | −0.336375 | ||||||||
\(345\) | 327.396 | + | 143.673i | 0.948975 | + | 0.416444i | ||||
\(346\) | −163.498 | + | 94.3959i | −0.472539 | + | 0.272821i | ||||
\(347\) | −50.9331 | + | 190.085i | −0.146781 | + | 0.547796i | 0.852888 | + | 0.522093i | \(0.174849\pi\) |
−0.999670 | + | 0.0257021i | \(0.991818\pi\) | |||||||
\(348\) | −152.364 | − | 135.789i | −0.437828 | − | 0.390197i | ||||
\(349\) | −282.056 | −0.808184 | −0.404092 | − | 0.914718i | \(-0.632412\pi\) | ||||
−0.404092 | + | 0.914718i | \(0.632412\pi\) | |||||||
\(350\) | 127.806 | + | 211.933i | 0.365161 | + | 0.605523i | ||||
\(351\) | −607.587 | + | 105.786i | −1.73102 | + | 0.301385i | ||||
\(352\) | −13.7875 | − | 51.4556i | −0.0391690 | − | 0.146181i | ||||
\(353\) | 116.873 | − | 436.174i | 0.331084 | − | 1.23562i | −0.576969 | − | 0.816766i | \(-0.695765\pi\) |
0.908053 | − | 0.418855i | \(-0.137569\pi\) | |||||||
\(354\) | 147.021 | + | 73.9688i | 0.415313 | + | 0.208951i | ||||
\(355\) | 111.021 | − | 72.1373i | 0.312737 | − | 0.203204i | ||||
\(356\) | 272.831 | 0.766378 | ||||||||
\(357\) | −134.826 | − | 142.794i | −0.377664 | − | 0.399983i | ||||
\(358\) | 254.036 | + | 254.036i | 0.709598 | + | 0.709598i | ||||
\(359\) | −167.547 | + | 290.199i | −0.466703 | + | 0.808354i | −0.999277 | − | 0.0380300i | \(-0.987892\pi\) |
0.532573 | + | 0.846384i | \(0.321225\pi\) | |||||||
\(360\) | 115.728 | − | 52.9812i | 0.321467 | − | 0.147170i | ||||
\(361\) | −166.722 | − | 288.771i | −0.461834 | − | 0.799919i | ||||
\(362\) | 112.524 | + | 419.944i | 0.310839 | + | 1.16007i | ||||
\(363\) | −94.9415 | − | 19.6749i | −0.261547 | − | 0.0542007i | ||||
\(364\) | 135.469 | + | 289.673i | 0.372168 | + | 0.795804i | ||||
\(365\) | 43.7174 | + | 134.435i | 0.119774 | + | 0.368315i | ||||
\(366\) | −22.6597 | − | 393.920i | −0.0619118 | − | 1.07629i | ||||
\(367\) | 160.378 | − | 598.537i | 0.436996 | − | 1.63089i | −0.299248 | − | 0.954175i | \(-0.596736\pi\) |
0.736244 | − | 0.676716i | \(-0.236597\pi\) | |||||||
\(368\) | −92.0936 | − | 24.6764i | −0.250254 | − | 0.0670555i | ||||
\(369\) | 23.9896 | − | 17.8062i | 0.0650125 | − | 0.0482552i | ||||
\(370\) | 153.613 | − | 301.667i | 0.415171 | − | 0.815317i | ||||
\(371\) | −372.655 | + | 174.277i | −1.00446 | + | 0.469750i | ||||
\(372\) | 19.5872 | + | 4.05908i | 0.0526537 | + | 0.0109115i | ||||
\(373\) | −316.330 | + | 84.7604i | −0.848070 | + | 0.227240i | −0.656581 | − | 0.754255i | \(-0.727998\pi\) |
−0.191488 | + | 0.981495i | \(0.561331\pi\) | |||||||
\(374\) | 107.859 | − | 62.2722i | 0.288392 | − | 0.166503i | ||||
\(375\) | −172.196 | − | 333.127i | −0.459189 | − | 0.888339i | ||||
\(376\) | 7.85665 | + | 4.53604i | 0.0208953 | + | 0.0120639i | ||||
\(377\) | −549.399 | + | 549.399i | −1.45729 | + | 1.45729i | ||||
\(378\) | −251.262 | + | 91.1562i | −0.664714 | + | 0.241154i | ||||
\(379\) | 119.151i | 0.314382i | 0.987568 | + | 0.157191i | \(0.0502438\pi\) | ||||
−0.987568 | + | 0.157191i | \(0.949756\pi\) | |||||||
\(380\) | −220.973 | + | 143.580i | −0.581509 | + | 0.377841i | ||||
\(381\) | −96.8058 | − | 48.7047i | −0.254083 | − | 0.127834i | ||||
\(382\) | 195.776 | + | 52.4581i | 0.512503 | + | 0.137325i | ||||
\(383\) | 319.180 | − | 85.5240i | 0.833368 | − | 0.223300i | 0.183186 | − | 0.983078i | \(-0.441359\pi\) |
0.650183 | + | 0.759778i | \(0.274692\pi\) | |||||||
\(384\) | −28.3708 | + | 18.6306i | −0.0738822 | + | 0.0485172i | ||||
\(385\) | 321.047 | − | 74.5797i | 0.833889 | − | 0.193714i | ||||
\(386\) | 402.498i | 1.04274i | ||||||||
\(387\) | −364.232 | − | 53.8860i | −0.941167 | − | 0.139240i | ||||
\(388\) | −323.890 | − | 86.7861i | −0.834768 | − | 0.223675i | ||||
\(389\) | 148.817 | + | 257.759i | 0.382564 | + | 0.662620i | 0.991428 | − | 0.130655i | \(-0.0417079\pi\) |
−0.608864 | + | 0.793274i | \(0.708375\pi\) | |||||||
\(390\) | −176.063 | − | 451.428i | −0.451443 | − | 1.15751i | ||||
\(391\) | − | 222.906i | − | 0.570091i | ||||||
\(392\) | 79.7461 | + | 113.352i | 0.203434 | + | 0.289162i | ||||
\(393\) | −433.997 | − | 89.9378i | −1.10432 | − | 0.228849i | ||||
\(394\) | −219.860 | − | 126.936i | −0.558019 | − | 0.322172i | ||||
\(395\) | 11.7112 | + | 222.409i | 0.0296486 | + | 0.563062i | ||||
\(396\) | −19.4369 | − | 168.388i | −0.0490832 | − | 0.425223i | ||||
\(397\) | 303.837 | − | 81.4129i | 0.765333 | − | 0.205070i | 0.145024 | − | 0.989428i | \(-0.453674\pi\) |
0.620309 | + | 0.784358i | \(0.287007\pi\) | |||||||
\(398\) | −87.1886 | − | 87.1886i | −0.219067 | − | 0.219067i | ||||
\(399\) | 486.998 | − | 262.836i | 1.22055 | − | 0.658736i | ||||
\(400\) | 58.8186 | + | 80.8726i | 0.147046 | + | 0.202181i | ||||
\(401\) | 160.034 | + | 92.3959i | 0.399088 | + | 0.230414i | 0.686090 | − | 0.727516i | \(-0.259325\pi\) |
−0.287002 | + | 0.957930i | \(0.592659\pi\) | |||||||
\(402\) | −5.05093 | − | 15.2796i | −0.0125645 | − | 0.0380088i | ||||
\(403\) | 19.7096 | − | 73.5571i | 0.0489071 | − | 0.182524i | ||||
\(404\) | −64.4043 | − | 37.1839i | −0.159417 | − | 0.0920392i | ||||
\(405\) | 388.952 | − | 112.877i | 0.960376 | − | 0.278708i | ||||
\(406\) | −192.836 | + | 276.051i | −0.474964 | + | 0.679928i | ||||
\(407\) | −318.791 | − | 318.791i | −0.783271 | − | 0.783271i | ||||
\(408\) | −59.2406 | − | 52.7958i | −0.145198 | − | 0.129402i | ||||
\(409\) | 211.032 | + | 365.519i | 0.515972 | + | 0.893689i | 0.999828 | + | 0.0185417i | \(0.00590236\pi\) |
−0.483856 | + | 0.875147i | \(0.660764\pi\) | |||||||
\(410\) | 17.4474 | + | 15.7019i | 0.0425547 | + | 0.0382974i | ||||
\(411\) | −641.231 | + | 36.8859i | −1.56017 | + | 0.0897468i | ||||
\(412\) | 45.3314 | + | 45.3314i | 0.110028 | + | 0.110028i | ||||
\(413\) | 92.5892 | − | 255.270i | 0.224187 | − | 0.618087i | ||||
\(414\) | −278.393 | − | 120.561i | −0.672448 | − | 0.291211i | ||||
\(415\) | −103.804 | + | 488.955i | −0.250130 | + | 1.17821i | ||||
\(416\) | 64.6062 | + | 111.901i | 0.155303 | + | 0.268993i | ||||
\(417\) | 13.2776 | + | 40.1659i | 0.0318407 | + | 0.0963210i | ||||
\(418\) | 90.8330 | + | 338.993i | 0.217304 | + | 0.810989i | ||||
\(419\) | − | 583.700i | − | 1.39308i | −0.717519 | − | 0.696539i | \(-0.754722\pi\) | ||
0.717519 | − | 0.696539i | \(-0.245278\pi\) | |||||||
\(420\) | −109.319 | − | 179.303i | −0.260283 | − | 0.426911i | ||||
\(421\) | 634.883 | 1.50804 | 0.754018 | − | 0.656853i | \(-0.228113\pi\) | ||||
0.754018 | + | 0.656853i | \(0.228113\pi\) | |||||||
\(422\) | −390.041 | + | 104.511i | −0.924269 | + | 0.247657i | ||||
\(423\) | 22.6182 | + | 17.9369i | 0.0534708 | + | 0.0424041i | ||||
\(424\) | −143.958 | + | 83.1140i | −0.339523 | + | 0.196024i | ||||
\(425\) | −147.042 | + | 181.766i | −0.345981 | + | 0.427684i | ||||
\(426\) | −93.9067 | + | 61.6669i | −0.220438 | + | 0.144758i | ||||
\(427\) | −640.993 | + | 113.760i | −1.50116 | + | 0.266417i | ||||
\(428\) | 251.985 | − | 251.985i | 0.588750 | − | 0.588750i | ||||
\(429\) | −644.239 | + | 37.0590i | −1.50172 | + | 0.0863845i | ||||
\(430\) | −15.2114 | − | 288.882i | −0.0353753 | − | 0.671819i | ||||
\(431\) | 13.8237 | − | 7.98112i | 0.0320736 | − | 0.0185177i | −0.483877 | − | 0.875136i | \(-0.660772\pi\) |
0.515951 | + | 0.856618i | \(0.327439\pi\) | |||||||
\(432\) | −97.9792 | + | 45.4320i | −0.226804 | + | 0.105167i | ||||
\(433\) | −106.458 | + | 106.458i | −0.245862 | + | 0.245862i | −0.819270 | − | 0.573408i | \(-0.805621\pi\) |
0.573408 | + | 0.819270i | \(0.305621\pi\) | |||||||
\(434\) | 2.83989 | − | 32.8814i | 0.00654353 | − | 0.0757637i | ||||
\(435\) | 318.972 | − | 398.234i | 0.733269 | − | 0.915480i | ||||
\(436\) | 9.42916 | − | 16.3318i | 0.0216265 | − | 0.0374582i | ||||
\(437\) | 606.720 | + | 162.570i | 1.38837 | + | 0.372014i | ||||
\(438\) | −37.6486 | − | 113.891i | −0.0859556 | − | 0.260024i | ||||
\(439\) | 86.9506 | − | 150.603i | 0.198065 | − | 0.343059i | −0.749836 | − | 0.661624i | \(-0.769868\pi\) |
0.947901 | + | 0.318565i | \(0.103201\pi\) | |||||||
\(440\) | 126.649 | − | 41.1853i | 0.287838 | − | 0.0936029i | ||||
\(441\) | 198.232 | + | 393.935i | 0.449505 | + | 0.893278i | ||||
\(442\) | −213.611 | + | 213.611i | −0.483284 | + | 0.483284i | ||||
\(443\) | 6.66345 | + | 24.8683i | 0.0150416 | + | 0.0561362i | 0.973039 | − | 0.230642i | \(-0.0740825\pi\) |
−0.957997 | + | 0.286778i | \(0.907416\pi\) | |||||||
\(444\) | −129.101 | + | 256.603i | −0.290769 | + | 0.577934i | ||||
\(445\) | 35.8657 | + | 681.133i | 0.0805971 | + | 1.53064i | ||||
\(446\) | 92.5468 | − | 160.296i | 0.207504 | − | 0.359408i | ||||
\(447\) | 290.833 | + | 60.2698i | 0.650634 | + | 0.134832i | ||||
\(448\) | 36.0438 | + | 42.8584i | 0.0804549 | + | 0.0956661i | ||||
\(449\) | 590.012 | 1.31406 | 0.657029 | − | 0.753866i | \(-0.271813\pi\) | ||||
0.657029 | + | 0.753866i | \(0.271813\pi\) | |||||||
\(450\) | 147.483 | + | 281.955i | 0.327740 | + | 0.626567i | ||||
\(451\) | 27.0720 | − | 15.6300i | 0.0600267 | − | 0.0346564i | ||||
\(452\) | 65.8039 | − | 245.583i | 0.145584 | − | 0.543326i | ||||
\(453\) | −328.325 | + | 368.403i | −0.724780 | + | 0.813253i | ||||
\(454\) | 29.6786 | 0.0653713 | ||||||||
\(455\) | −705.371 | + | 376.284i | −1.55027 | + | 0.826998i | ||||
\(456\) | 186.909 | − | 122.740i | 0.409888 | − | 0.269166i | ||||
\(457\) | −108.396 | − | 404.540i | −0.237191 | − | 0.885208i | −0.977149 | − | 0.212555i | \(-0.931821\pi\) |
0.739958 | − | 0.672653i | \(-0.234845\pi\) | |||||||
\(458\) | 108.898 | − | 406.413i | 0.237769 | − | 0.887365i | ||||
\(459\) | −161.886 | − | 193.774i | −0.352694 | − | 0.422166i | ||||
\(460\) | 49.4993 | − | 233.159i | 0.107607 | − | 0.506868i | ||||
\(461\) | 630.123 | 1.36686 | 0.683431 | − | 0.730015i | \(-0.260487\pi\) | ||||
0.683431 | + | 0.730015i | \(0.260487\pi\) | |||||||
\(462\) | −272.107 | + | 64.6042i | −0.588977 | + | 0.139836i | ||||
\(463\) | 109.680 | + | 109.680i | 0.236889 | + | 0.236889i | 0.815561 | − | 0.578672i | \(-0.196429\pi\) |
−0.578672 | + | 0.815561i | \(0.696429\pi\) | |||||||
\(464\) | −68.0305 | + | 117.832i | −0.146617 | + | 0.253949i | ||||
\(465\) | −7.55878 | + | 49.4338i | −0.0162554 | + | 0.106309i | ||||
\(466\) | 13.5631 | + | 23.4921i | 0.0291055 | + | 0.0504121i | ||||
\(467\) | −227.552 | − | 849.236i | −0.487264 | − | 1.81849i | −0.569644 | − | 0.821892i | \(-0.692919\pi\) |
0.0823804 | − | 0.996601i | \(-0.473748\pi\) | |||||||
\(468\) | 151.251 | + | 382.320i | 0.323186 | + | 0.816923i | ||||
\(469\) | −24.0515 | + | 11.2480i | −0.0512825 | + | 0.0239829i | ||||
\(470\) | −10.2916 | + | 20.2108i | −0.0218970 | + | 0.0430016i | ||||
\(471\) | −209.205 | + | 12.0342i | −0.444172 | + | 0.0255504i | ||||
\(472\) | 28.3976 | − | 105.981i | 0.0601644 | − | 0.224537i | ||||
\(473\) | −372.130 | − | 99.7119i | −0.786744 | − | 0.210807i | ||||
\(474\) | −10.8530 | − | 188.670i | −0.0228966 | − | 0.398038i | ||||
\(475\) | −387.501 | − | 532.795i | −0.815792 | − | 1.12167i | ||||
\(476\) | −74.9763 | + | 107.331i | −0.157513 | + | 0.225486i | ||||
\(477\) | −491.843 | + | 194.580i | −1.03112 | + | 0.407925i | ||||
\(478\) | 188.844 | − | 50.6006i | 0.395071 | − | 0.105859i | ||||
\(479\) | 90.6955 | − | 52.3631i | 0.189344 | − | 0.109318i | −0.402332 | − | 0.915494i | \(-0.631800\pi\) |
0.591675 | + | 0.806176i | \(0.298467\pi\) | |||||||
\(480\) | −50.2416 | − | 68.3797i | −0.104670 | − | 0.142458i | ||||
\(481\) | 947.038 | + | 546.773i | 1.96889 | + | 1.13674i | ||||
\(482\) | 226.163 | − | 226.163i | 0.469217 | − | 0.469217i | ||||
\(483\) | −143.369 | + | 479.576i | −0.296830 | + | 0.992910i | ||||
\(484\) | 64.6391i | 0.133552i | ||||||||
\(485\) | 174.087 | − | 820.014i | 0.358943 | − | 1.69075i | ||||
\(486\) | −329.568 | + | 97.3796i | −0.678124 | + | 0.200370i | ||||
\(487\) | 534.720 | + | 143.278i | 1.09799 | + | 0.294205i | 0.761945 | − | 0.647642i | \(-0.224245\pi\) |
0.336043 | + | 0.941847i | \(0.390911\pi\) | |||||||
\(488\) | −254.085 | + | 68.0818i | −0.520665 | + | 0.139512i | ||||
\(489\) | −254.743 | − | 387.923i | −0.520946 | − | 0.793299i | ||||
\(490\) | −272.503 | + | 213.990i | −0.556130 | + | 0.436715i | ||||
\(491\) | 212.339i | 0.432463i | 0.976342 | + | 0.216231i | \(0.0693766\pi\) | ||||
−0.976342 | + | 0.216231i | \(0.930623\pi\) | |||||||
\(492\) | −14.8691 | − | 13.2515i | −0.0302218 | − | 0.0269340i | ||||
\(493\) | −307.265 | − | 82.3313i | −0.623255 | − | 0.167001i | ||||
\(494\) | −425.631 | − | 737.214i | −0.861600 | − | 1.49234i | ||||
\(495\) | 417.834 | − | 70.6611i | 0.844108 | − | 0.142750i | ||||
\(496\) | − | 13.3356i | − | 0.0268862i | ||||||
\(497\) | 119.304 | + | 141.861i | 0.240049 | + | 0.285434i | ||||
\(498\) | 86.0663 | − | 415.315i | 0.172824 | − | 0.833965i | ||||
\(499\) | −144.944 | − | 83.6836i | −0.290470 | − | 0.167703i | 0.347684 | − | 0.937612i | \(-0.386968\pi\) |
−0.638154 | + | 0.769909i | \(0.720302\pi\) | |||||||
\(500\) | −194.170 | + | 157.474i | −0.388339 | + | 0.314949i | ||||
\(501\) | 209.123 | + | 105.213i | 0.417411 | + | 0.210007i | ||||
\(502\) | 235.770 | − | 63.1743i | 0.469661 | − | 0.125845i | ||||
\(503\) | 292.158 | + | 292.158i | 0.580831 | + | 0.580831i | 0.935131 | − | 0.354301i | \(-0.115281\pi\) |
−0.354301 | + | 0.935131i | \(0.615281\pi\) | |||||||
\(504\) | 93.4972 | + | 151.691i | 0.185510 | + | 0.300975i | ||||
\(505\) | 84.3646 | − | 165.676i | 0.167059 | − | 0.328072i | ||||
\(506\) | −274.907 | − | 158.717i | −0.543294 | − | 0.313671i | ||||
\(507\) | 1004.76 | − | 332.142i | 1.98178 | − | 0.655112i | ||||
\(508\) | −18.6984 | + | 69.7833i | −0.0368078 | + | 0.137369i | ||||
\(509\) | −72.6555 | − | 41.9477i | −0.142742 | − | 0.0824120i | 0.426928 | − | 0.904285i | \(-0.359596\pi\) |
−0.569670 | + | 0.821874i | \(0.692929\pi\) | |||||||
\(510\) | 124.019 | − | 154.837i | 0.243175 | − | 0.303602i | ||||
\(511\) | −179.275 | + | 83.8402i | −0.350831 | + | 0.164071i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 645.495 | − | 299.310i | 1.25827 | − | 0.583449i | ||||
\(514\) | 335.158 | + | 580.510i | 0.652058 | + | 1.12940i | ||||
\(515\) | −107.213 | + | 119.131i | −0.208180 | + | 0.231322i | ||||
\(516\) | 14.0967 | + | 245.059i | 0.0273191 | + | 0.474920i | ||||
\(517\) | 21.3580 | + | 21.3580i | 0.0413114 | + | 0.0413114i | ||||
\(518\) | 445.535 | + | 161.600i | 0.860107 | + | 0.311970i | ||||
\(519\) | 219.832 | + | 334.761i | 0.423568 | + | 0.645011i | ||||
\(520\) | −270.873 | + | 176.002i | −0.520910 | + | 0.338466i | ||||
\(521\) | −240.730 | − | 416.957i | −0.462054 | − | 0.800302i | 0.537009 | − | 0.843577i | \(-0.319554\pi\) |
−0.999063 | + | 0.0432749i | \(0.986221\pi\) | |||||||
\(522\) | −269.014 | + | 339.222i | −0.515352 | + | 0.649851i | ||||
\(523\) | −116.586 | − | 435.105i | −0.222918 | − | 0.831941i | −0.983228 | − | 0.182381i | \(-0.941620\pi\) |
0.760310 | − | 0.649560i | \(-0.225047\pi\) | |||||||
\(524\) | 295.478i | 0.563890i | ||||||||
\(525\) | 433.266 | − | 296.489i | 0.825268 | − | 0.564741i | ||||
\(526\) | −398.646 | −0.757881 | ||||||||
\(527\) | 30.1155 | − | 8.06943i | 0.0571452 | − | 0.0153120i | ||||
\(528\) | −107.294 | + | 35.4680i | −0.203208 | + | 0.0671742i | ||||
\(529\) | −33.8918 | + | 19.5674i | −0.0640677 | + | 0.0369895i | ||||
\(530\) | −226.422 | − | 348.470i | −0.427211 | − | 0.657491i | ||||
\(531\) | 138.742 | − | 320.375i | 0.261284 | − | 0.603343i | ||||
\(532\) | −237.459 | − | 282.354i | −0.446352 | − | 0.530742i | ||||
\(533\) | −53.6155 | + | 53.6155i | −0.100592 | + | 0.100592i | ||||
\(534\) | −33.2375 | − | 577.806i | −0.0622425 | − | 1.08203i | ||||
\(535\) | 662.217 | + | 595.966i | 1.23779 | + | 1.11395i | ||||
\(536\) | −9.29116 | + | 5.36425i | −0.0173342 | + | 0.0100079i | ||||
\(537\) | 507.055 | − | 568.950i | 0.944236 | − | 1.05950i | ||||
\(538\) | 122.588 | − | 122.588i | 0.227858 | − | 0.227858i | ||||
\(539\) | 158.784 | + | 433.254i | 0.294591 | + | 0.803811i | ||||
\(540\) | −126.303 | − | 238.637i | −0.233895 | − | 0.441920i | ||||
\(541\) | 24.3231 | − | 42.1289i | 0.0449596 | − | 0.0778723i | −0.842670 | − | 0.538431i | \(-0.819017\pi\) |
0.887629 | + | 0.460558i | \(0.152351\pi\) | |||||||
\(542\) | 139.912 | + | 37.4893i | 0.258140 | + | 0.0691684i | ||||
\(543\) | 875.658 | − | 289.464i | 1.61263 | − | 0.533084i | ||||
\(544\) | −26.4509 | + | 45.8143i | −0.0486230 | + | 0.0842174i | ||||
\(545\) | 42.0125 | + | 21.3934i | 0.0770872 | + | 0.0392539i | ||||
\(546\) | 596.971 | − | 322.188i | 1.09335 | − | 0.590088i | ||||
\(547\) | 463.843 | − | 463.843i | 0.847977 | − | 0.847977i | −0.141904 | − | 0.989880i | \(-0.545322\pi\) |
0.989880 | + | 0.141904i | \(0.0453224\pi\) | |||||||
\(548\) | 110.825 | + | 413.604i | 0.202235 | + | 0.754751i | ||||
\(549\) | −831.492 | + | 95.9784i | −1.51456 | + | 0.174824i | ||||
\(550\) | 119.470 | + | 310.769i | 0.217218 | + | 0.565035i | ||||
\(551\) | 448.190 | − | 776.288i | 0.813412 | − | 1.40887i | ||||
\(552\) | −41.0409 | + | 198.044i | −0.0743495 | + | 0.358775i | ||||
\(553\) | −307.007 | + | 54.4859i | −0.555166 | + | 0.0985278i | ||||
\(554\) | −308.216 | −0.556347 | ||||||||
\(555\) | −657.591 | − | 288.574i | −1.18485 | − | 0.519954i | ||||
\(556\) | 24.4240 | − | 14.1012i | 0.0439280 | − | 0.0253618i | ||||
\(557\) | 84.0919 | − | 313.835i | 0.150973 | − | 0.563438i | −0.848444 | − | 0.529285i | \(-0.822460\pi\) |
0.999417 | − | 0.0341527i | \(-0.0108733\pi\) | |||||||
\(558\) | 6.21020 | − | 41.9766i | 0.0111294 | − | 0.0752269i | ||||
\(559\) | 934.471 | 1.67168 | ||||||||
\(560\) | −102.260 | + | 95.6189i | −0.182606 | + | 0.170748i | ||||
\(561\) | −145.021 | − | 220.839i | −0.258505 | − | 0.393652i | ||||
\(562\) | 58.8790 | + | 219.739i | 0.104767 | + | 0.390995i | ||||
\(563\) | −36.4063 | + | 135.870i | −0.0646649 | + | 0.241333i | −0.990692 | − | 0.136125i | \(-0.956535\pi\) |
0.926027 | + | 0.377458i | \(0.123202\pi\) | |||||||
\(564\) | 8.64938 | − | 17.1916i | 0.0153358 | − | 0.0304815i | ||||
\(565\) | 621.759 | + | 131.998i | 1.10046 | + | 0.233625i | ||||
\(566\) | 167.867 | 0.296585 | ||||||||
\(567\) | 223.662 | + | 521.022i | 0.394466 | + | 0.918911i | ||||
\(568\) | 52.9597 | + | 52.9597i | 0.0932389 | + | 0.0932389i | ||||
\(569\) | −371.512 | + | 643.477i | −0.652920 | + | 1.13089i | 0.329491 | + | 0.944159i | \(0.393123\pi\) |
−0.982411 | + | 0.186732i | \(0.940210\pi\) | |||||||
\(570\) | 330.996 | + | 450.490i | 0.580694 | + | 0.790334i | ||||
\(571\) | 90.1507 | + | 156.146i | 0.157882 | + | 0.273460i | 0.934105 | − | 0.356999i | \(-0.116200\pi\) |
−0.776223 | + | 0.630459i | \(0.782867\pi\) | |||||||
\(572\) | 111.345 | + | 415.544i | 0.194658 | + | 0.726475i | ||||
\(573\) | 87.2463 | − | 421.009i | 0.152262 | − | 0.734745i | ||||
\(574\) | −18.8187 | + | 26.9396i | −0.0327852 | + | 0.0469332i | ||||
\(575\) | 588.599 | + | 92.9263i | 1.02365 | + | 0.161611i | ||||
\(576\) | 42.9125 | + | 57.8145i | 0.0745009 | + | 0.100372i | ||||
\(577\) | −250.300 | + | 934.133i | −0.433796 | + | 1.61895i | 0.310135 | + | 0.950692i | \(0.399626\pi\) |
−0.743931 | + | 0.668256i | \(0.767041\pi\) | |||||||
\(578\) | 275.314 | + | 73.7701i | 0.476322 | + | 0.127630i | ||||
\(579\) | 852.418 | − | 49.0341i | 1.47222 | − | 0.0846876i | ||||
\(580\) | −303.116 | − | 154.351i | −0.522614 | − | 0.266122i | ||||
\(581\) | −697.198 | − | 60.2153i | −1.20000 | − | 0.103641i | ||||
\(582\) | −144.339 | + | 696.513i | −0.248006 | + | 1.19676i | ||||
\(583\) | −534.585 | + | 143.242i | −0.916956 | + | 0.245698i | ||||
\(584\) | −69.2543 | + | 39.9840i | −0.118586 | + | 0.0684657i | ||||
\(585\) | −934.594 | + | 427.864i | −1.59760 | + | 0.731391i | ||||
\(586\) | 66.3389 | + | 38.3008i | 0.113206 | + | 0.0653597i | ||||
\(587\) | 777.398 | − | 777.398i | 1.32436 | − | 1.32436i | 0.414147 | − | 0.910210i | \(-0.364080\pi\) |
0.910210 | − | 0.414147i | \(-0.135920\pi\) | |||||||
\(588\) | 230.343 | − | 182.697i | 0.391740 | − | 0.310709i | ||||
\(589\) | 87.8557i | 0.149161i | ||||||||
\(590\) | 268.320 | + | 56.9637i | 0.454779 | + | 0.0965487i | ||||
\(591\) | −242.043 | + | 481.087i | −0.409548 | + | 0.814022i | ||||
\(592\) | 184.974 | + | 49.5637i | 0.312457 | + | 0.0837225i | ||||
\(593\) | −521.442 | + | 139.720i | −0.879328 | + | 0.235615i | −0.670117 | − | 0.742255i | \(-0.733756\pi\) |
−0.209211 | + | 0.977871i | \(0.567090\pi\) | |||||||
\(594\) | −354.248 | + | 61.6778i | −0.596378 | + | 0.103835i | ||||
\(595\) | −277.813 | − | 173.072i | −0.466912 | − | 0.290877i | ||||
\(596\) | − | 198.008i | − | 0.332229i | ||||||
\(597\) | −174.028 | + | 195.271i | −0.291504 | + | 0.327088i | ||||
\(598\) | 743.727 | + | 199.281i | 1.24369 | + | 0.333246i | ||||
\(599\) | −334.255 | − | 578.947i | −0.558022 | − | 0.966523i | −0.997662 | − | 0.0683484i | \(-0.978227\pi\) |
0.439639 | − | 0.898174i | \(-0.355106\pi\) | |||||||
\(600\) | 164.108 | − | 134.419i | 0.273513 | − | 0.224032i | ||||
\(601\) | − | 586.870i | − | 0.976488i | −0.872707 | − | 0.488244i | \(-0.837638\pi\) | ||
0.872707 | − | 0.488244i | \(-0.162362\pi\) | |||||||
\(602\) | 398.764 | − | 70.7704i | 0.662398 | − | 0.117559i | ||||
\(603\) | −31.7440 | + | 12.5584i | −0.0526435 | + | 0.0208265i | ||||
\(604\) | 284.908 | + | 164.492i | 0.471703 | + | 0.272338i | ||||
\(605\) | −161.374 | + | 8.49731i | −0.266734 | + | 0.0140451i | ||||
\(606\) | −70.9027 | + | 140.927i | −0.117001 | + | 0.232552i | ||||
\(607\) | −692.161 | + | 185.464i | −1.14030 | + | 0.305542i | −0.779071 | − | 0.626936i | \(-0.784309\pi\) |
−0.361228 | + | 0.932478i | \(0.617642\pi\) | |||||||
\(608\) | −105.409 | − | 105.409i | −0.173370 | − | 0.173370i | ||||
\(609\) | 608.118 | + | 374.761i | 0.998552 | + | 0.615371i | ||||
\(610\) | −203.370 | − | 625.383i | −0.333394 | − | 1.02522i | ||||
\(611\) | −63.4485 | − | 36.6320i | −0.103844 | − | 0.0599542i | ||||
\(612\) | −104.595 | + | 131.893i | −0.170907 | + | 0.215511i | ||||
\(613\) | 57.8477 | − | 215.891i | 0.0943682 | − | 0.352187i | −0.902555 | − | 0.430575i | \(-0.858311\pi\) |
0.996923 | + | 0.0783882i | \(0.0249774\pi\) | |||||||
\(614\) | 308.850 | + | 178.315i | 0.503013 | + | 0.290415i | ||||
\(615\) | 31.1283 | − | 38.8634i | 0.0506151 | − | 0.0631925i | ||||
\(616\) | 78.9842 | + | 168.891i | 0.128221 | + | 0.274174i | ||||
\(617\) | −371.341 | − | 371.341i | −0.601849 | − | 0.601849i | 0.338954 | − | 0.940803i | \(-0.389927\pi\) |
−0.940803 | + | 0.338954i | \(0.889927\pi\) | |||||||
\(618\) | 90.4813 | − | 101.526i | 0.146410 | − | 0.164282i | ||||
\(619\) | −364.934 | − | 632.084i | −0.589554 | − | 1.02114i | −0.994291 | − | 0.106704i | \(-0.965970\pi\) |
0.404737 | − | 0.914433i | \(-0.367363\pi\) | |||||||
\(620\) | 33.2928 | − | 1.75306i | 0.0536981 | − | 0.00282752i | ||||
\(621\) | −221.412 | + | 604.274i | −0.356541 | + | 0.973066i | ||||
\(622\) | −73.8090 | − | 73.8090i | −0.118664 | − | 0.118664i | ||||
\(623\) | −940.215 | + | 166.864i | −1.50917 | + | 0.267840i | ||||
\(624\) | 229.116 | − | 150.457i | 0.367173 | − | 0.241116i | ||||
\(625\) | −418.666 | − | 464.051i | −0.669866 | − | 0.742482i | ||||
\(626\) | −156.543 | − | 271.141i | −0.250069 | − | 0.433132i | ||||
\(627\) | 706.861 | − | 233.666i | 1.12737 | − | 0.372673i | ||||
\(628\) | 36.1571 | + | 134.940i | 0.0575751 | + | 0.214873i | ||||
\(629\) | 447.717i | 0.711791i | ||||||||
\(630\) | −366.413 | + | 253.361i | −0.581608 | + | 0.402160i | ||||
\(631\) | 678.904 | 1.07592 | 0.537958 | − | 0.842971i | \(-0.319196\pi\) | ||||
0.537958 | + | 0.842971i | \(0.319196\pi\) | |||||||
\(632\) | −121.695 | + | 32.6081i | −0.192555 | + | 0.0515951i | ||||
\(633\) | 268.853 | + | 813.305i | 0.424728 | + | 1.28484i | ||||
\(634\) | 174.701 | − | 100.864i | 0.275553 | − | 0.159091i | ||||
\(635\) | −176.675 | − | 37.5077i | −0.278228 | − | 0.0590672i | ||||
\(636\) | 193.558 | + | 294.751i | 0.304337 | + | 0.463445i | ||||
\(637\) | −644.011 | − | 915.401i | −1.01101 | − | 1.43705i | ||||
\(638\) | −320.323 | + | 320.323i | −0.502073 | + | 0.502073i | ||||
\(639\) | 142.040 | + | 191.365i | 0.222284 | + | 0.299476i | ||||
\(640\) | −37.8413 | + | 42.0480i | −0.0591271 | + | 0.0657000i | ||||
\(641\) | −512.506 | + | 295.895i | −0.799541 | + | 0.461615i | −0.843310 | − | 0.537427i | \(-0.819396\pi\) |
0.0437699 | + | 0.999042i | \(0.486063\pi\) | |||||||
\(642\) | −564.357 | − | 502.961i | −0.879061 | − | 0.783428i | ||||
\(643\) | 462.272 | − | 462.272i | 0.718930 | − | 0.718930i | −0.249456 | − | 0.968386i | \(-0.580252\pi\) |
0.968386 | + | 0.249456i | \(0.0802519\pi\) | |||||||
\(644\) | 332.460 | + | 28.7138i | 0.516243 | + | 0.0445867i | ||||
\(645\) | −609.947 | + | 67.4078i | −0.945654 | + | 0.104508i | ||||
\(646\) | 174.260 | − | 301.828i | 0.269753 | − | 0.467226i | ||||
\(647\) | −111.765 | − | 29.9472i | −0.172743 | − | 0.0462863i | 0.171411 | − | 0.985200i | \(-0.445167\pi\) |
−0.344154 | + | 0.938913i | \(0.611834\pi\) | |||||||
\(648\) | 108.153 | + | 201.968i | 0.166903 | + | 0.311678i | ||||
\(649\) | 182.652 | − | 316.362i | 0.281436 | − | 0.487461i | ||||
\(650\) | −475.005 | − | 653.109i | −0.730778 | − | 1.00478i | ||||
\(651\) | −69.9829 | − | 2.00861i | −0.107501 | − | 0.00308542i | ||||
\(652\) | −218.774 | + | 218.774i | −0.335542 | + | 0.335542i | ||||
\(653\) | 53.9679 | + | 201.411i | 0.0826460 | + | 0.308439i | 0.994858 | − | 0.101279i | \(-0.0322936\pi\) |
−0.912212 | + | 0.409719i | \(0.865627\pi\) | |||||||
\(654\) | −35.7365 | − | 17.9796i | −0.0546429 | − | 0.0274918i | ||||
\(655\) | −737.674 | + | 38.8429i | −1.12622 | + | 0.0593022i | ||||
\(656\) | −6.63905 | + | 11.4992i | −0.0101205 | + | 0.0175292i | ||||
\(657\) | −236.613 | + | 93.6075i | −0.360142 | + | 0.142477i | ||||
\(658\) | −29.8494 | − | 10.8267i | −0.0453639 | − | 0.0164540i | ||||
\(659\) | 971.092 | 1.47358 | 0.736792 | − | 0.676119i | \(-0.236340\pi\) | ||||
0.736792 | + | 0.676119i | \(0.236340\pi\) | |||||||
\(660\) | −102.652 | − | 263.201i | −0.155533 | − | 0.398790i | ||||
\(661\) | −578.822 | + | 334.183i | −0.875676 | + | 0.505572i | −0.869230 | − | 0.494407i | \(-0.835385\pi\) |
−0.00644601 | + | 0.999979i | \(0.502052\pi\) | |||||||
\(662\) | −190.931 | + | 712.563i | −0.288415 | + | 1.07638i | ||||
\(663\) | 478.414 | + | 426.367i | 0.721589 | + | 0.643088i | ||||
\(664\) | −282.759 | −0.425842 | ||||||||
\(665\) | 673.694 | − | 629.945i | 1.01307 | − | 0.947286i | ||||
\(666\) | 559.166 | + | 242.153i | 0.839589 | + | 0.363593i | ||||
\(667\) | 209.844 | + | 783.147i | 0.314608 | + | 1.17413i | ||||
\(668\) | 40.3928 | − | 150.748i | 0.0604682 | − | 0.225670i | ||||
\(669\) | −350.752 | − | 176.469i | −0.524293 | − | 0.263781i | ||||
\(670\) | −14.6135 | − | 22.4906i | −0.0218111 | − | 0.0335680i | ||||
\(671\) | −875.797 | −1.30521 | ||||||||
\(672\) | 86.3754 | − | 81.5555i | 0.128535 | − | 0.121362i | ||||
\(673\) | 43.2365 | + | 43.2365i | 0.0642445 | + | 0.0642445i | 0.738499 | − | 0.674255i | \(-0.235535\pi\) |
−0.674255 | + | 0.738499i | \(0.735535\pi\) | |||||||
\(674\) | 132.357 | − | 229.249i | 0.196375 | − | 0.340132i | ||||
\(675\) | 579.163 | − | 346.691i | 0.858020 | − | 0.513617i | ||||
\(676\) | −352.745 | − | 610.972i | −0.521812 | − | 0.903805i | ||||
\(677\) | 216.148 | + | 806.676i | 0.319273 | + | 1.19154i | 0.919945 | + | 0.392048i | \(0.128233\pi\) |
−0.600671 | + | 0.799496i | \(0.705100\pi\) | |||||||
\(678\) | −528.118 | − | 109.443i | −0.778935 | − | 0.161420i | ||||
\(679\) | 1169.25 | + | 100.986i | 1.72202 | + | 0.148727i | ||||
\(680\) | −117.854 | − | 60.0131i | −0.173315 | − | 0.0882546i | ||||
\(681\) | −3.61558 | − | 62.8538i | −0.00530922 | − | 0.0922963i | ||||
\(682\) | 11.4915 | − | 42.8869i | 0.0168497 | − | 0.0628840i | ||||
\(683\) | 903.320 | + | 242.044i | 1.32258 | + | 0.354383i | 0.849942 | − | 0.526876i | \(-0.176637\pi\) |
0.472634 | + | 0.881259i | \(0.343303\pi\) | |||||||
\(684\) | −282.711 | − | 380.886i | −0.413320 | − | 0.556851i | ||||
\(685\) | −1018.01 | + | 331.050i | −1.48615 | + | 0.483285i | ||||
\(686\) | −344.143 | − | 341.853i | −0.501666 | − | 0.498328i | ||||
\(687\) | −873.976 | − | 181.115i | −1.27216 | − | 0.263632i | ||||
\(688\) | 158.067 | − | 42.3539i | 0.229748 | − | 0.0615608i | ||||
\(689\) | 1162.57 | − | 671.210i | 1.68733 | − | 0.974180i | ||||
\(690\) | −499.820 | − | 76.4259i | −0.724376 | − | 0.110762i | ||||
\(691\) | −893.269 | − | 515.729i | −1.29272 | − | 0.746352i | −0.313584 | − | 0.949560i | \(-0.601530\pi\) |
−0.979136 | + | 0.203208i | \(0.934863\pi\) | |||||||
\(692\) | 188.792 | − | 188.792i | 0.272821 | − | 0.272821i | ||||
\(693\) | 169.970 | + | 568.404i | 0.245266 | + | 0.820208i | ||||
\(694\) | − | 278.304i | − | 0.401014i | ||||||
\(695\) | 38.4149 | + | 59.1217i | 0.0552733 | + | 0.0850672i | ||||
\(696\) | 257.835 | + | 129.721i | 0.370453 | + | 0.186381i | ||||
\(697\) | −29.9858 | − | 8.03466i | −0.0430212 | − | 0.0115275i | ||||
\(698\) | 385.296 | − | 103.240i | 0.552000 | − | 0.147908i | ||||
\(699\) | 48.0996 | − | 31.5862i | 0.0688120 | − | 0.0451877i | ||||
\(700\) | −252.159 | − | 242.725i | −0.360228 | − | 0.346751i | ||||
\(701\) | 508.656i | 0.725615i | 0.931864 | + | 0.362807i | \(0.118182\pi\) | ||||
−0.931864 | + | 0.362807i | \(0.881818\pi\) | |||||||
\(702\) | 791.258 | − | 366.899i | 1.12715 | − | 0.522648i | ||||
\(703\) | −1218.63 | − | 326.530i | −1.73346 | − | 0.464480i | ||||
\(704\) | 37.6681 | + | 65.2431i | 0.0535059 | + | 0.0926749i | ||||
\(705\) | 44.0565 | + | 19.3336i | 0.0624915 | + | 0.0274235i | ||||
\(706\) | 638.604i | 0.904538i | ||||||||
\(707\) | 244.689 | + | 88.7512i | 0.346094 | + | 0.125532i | ||||
\(708\) | −227.909 | − | 47.2299i | −0.321905 | − | 0.0667088i | ||||
\(709\) | 86.1429 | + | 49.7346i | 0.121499 | + | 0.0701476i | 0.559518 | − | 0.828818i | \(-0.310986\pi\) |
−0.438019 | + | 0.898966i | \(0.644320\pi\) | |||||||
\(710\) | −125.254 | + | 139.178i | −0.176414 | + | 0.196025i | ||||
\(711\) | −398.247 | + | 45.9693i | −0.560122 | + | 0.0646545i | ||||
\(712\) | −372.694 | + | 99.8630i | −0.523446 | + | 0.140257i | ||||
\(713\) | −56.1904 | − | 56.1904i | −0.0788084 | − | 0.0788084i | ||||
\(714\) | 236.442 | + | 145.711i | 0.331151 | + | 0.204076i | ||||
\(715\) | −1022.79 | + | 332.603i | −1.43047 | + | 0.465179i | ||||
\(716\) | −440.003 | − | 254.036i | −0.614530 | − | 0.354799i | ||||
\(717\) | −130.169 | − | 393.773i | −0.181546 | − | 0.549196i | ||||
\(718\) | 122.653 | − | 457.746i | 0.170825 | − | 0.637529i | ||||
\(719\) | −497.276 | − | 287.102i | −0.691621 | − | 0.399308i | 0.112598 | − | 0.993641i | \(-0.464083\pi\) |
−0.804219 | + | 0.594333i | \(0.797416\pi\) | |||||||
\(720\) | −138.695 | + | 114.733i | −0.192632 | + | 0.159351i | ||||
\(721\) | −183.944 | − | 128.494i | −0.255123 | − | 0.178216i | ||||
\(722\) | 333.444 | + | 333.444i | 0.461834 | + | 0.461834i | ||||
\(723\) | −506.524 | − | 451.420i | −0.700587 | − | 0.624370i | ||||
\(724\) | −307.420 | − | 532.468i | −0.424614 | − | 0.735453i | ||||
\(725\) | 345.497 | − | 777.033i | 0.476547 | − | 1.07177i | ||||
\(726\) | 136.894 | − | 7.87463i | 0.188559 | − | 0.0108466i | ||||
\(727\) | 538.164 | + | 538.164i | 0.740254 | + | 0.740254i | 0.972627 | − | 0.232373i | \(-0.0746491\pi\) |
−0.232373 | + | 0.972627i | \(0.574649\pi\) | |||||||
\(728\) | −291.082 | − | 346.115i | −0.399838 | − | 0.475433i | ||||
\(729\) | 246.382 | + | 686.103i | 0.337972 | + | 0.941156i | ||||
\(730\) | −108.926 | − | 167.640i | −0.149213 | − | 0.229644i | ||||
\(731\) | 191.294 | + | 331.331i | 0.261689 | + | 0.453258i | ||||
\(732\) | 175.139 | + | 529.811i | 0.239260 | + | 0.723786i | ||||
\(733\) | −336.084 | − | 1254.28i | −0.458505 | − | 1.71116i | −0.677574 | − | 0.735454i | \(-0.736969\pi\) |
0.219069 | − | 0.975709i | \(-0.429698\pi\) | |||||||
\(734\) | 876.319i | 1.19390i | ||||||||
\(735\) | 486.390 | + | 551.044i | 0.661756 | + | 0.749720i | ||||
\(736\) | 134.834 | 0.183199 | ||||||||
\(737\) | −34.5026 | + | 9.24494i | −0.0468149 | + | 0.0125440i | ||||
\(738\) | −26.2529 | + | 33.1045i | −0.0355730 | + | 0.0448570i | ||||
\(739\) | −1252.93 | + | 723.380i | −1.69544 | + | 0.978863i | −0.745462 | + | 0.666549i | \(0.767771\pi\) |
−0.949979 | + | 0.312314i | \(0.898896\pi\) | |||||||
\(740\) | −99.4216 | + | 468.312i | −0.134353 | + | 0.632854i | ||||
\(741\) | −1509.43 | + | 991.219i | −2.03702 | + | 1.33768i | ||||
\(742\) | 445.267 | − | 374.468i | 0.600090 | − | 0.504674i | ||||
\(743\) | −213.369 | + | 213.369i | −0.287173 | + | 0.287173i | −0.835961 | − | 0.548788i | \(-0.815089\pi\) |
0.548788 | + | 0.835961i | \(0.315089\pi\) | |||||||
\(744\) | −28.2423 | + | 1.62460i | −0.0379601 | + | 0.00218360i | ||||
\(745\) | 494.336 | − | 26.0298i | 0.663539 | − | 0.0349393i | ||||
\(746\) | 401.090 | − | 231.570i | 0.537655 | − | 0.310415i | ||||
\(747\) | −890.047 | − | 131.677i | −1.19149 | − | 0.176275i | ||||
\(748\) | −124.544 | + | 124.544i | −0.166503 | + | 0.166503i | ||||
\(749\) | −714.263 | + | 1022.49i | −0.953623 | + | 1.36514i | ||||
\(750\) | 357.157 | + | 392.032i | 0.476209 | + | 0.522709i | ||||
\(751\) | −439.885 | + | 761.904i | −0.585733 | + | 1.01452i | 0.409051 | + | 0.912512i | \(0.365860\pi\) |
−0.994784 | + | 0.102008i | \(0.967473\pi\) | |||||||
\(752\) | −12.3927 | − | 3.32061i | −0.0164796 | − | 0.00441571i | ||||
\(753\) | −162.514 | − | 491.622i | −0.215823 | − | 0.652884i | ||||
\(754\) | 549.399 | − | 951.587i | 0.728646 | − | 1.26205i | ||||
\(755\) | −373.208 | + | 732.910i | −0.494315 | + | 0.970741i | ||||
\(756\) | 309.865 | − | 216.490i | 0.409874 | − | 0.286362i | ||||
\(757\) | 38.0541 | − | 38.0541i | 0.0502697 | − | 0.0502697i | −0.681525 | − | 0.731795i | \(-0.738683\pi\) |
0.731795 | + | 0.681525i | \(0.238683\pi\) | |||||||
\(758\) | −43.6122 | − | 162.763i | −0.0575359 | − | 0.214727i | ||||
\(759\) | −302.644 | + | 601.538i | −0.398741 | + | 0.792541i | ||||
\(760\) | 249.302 | − | 277.015i | 0.328028 | − | 0.364494i | ||||
\(761\) | −499.455 | + | 865.081i | −0.656314 | + | 1.13677i | 0.325249 | + | 0.945628i | \(0.394552\pi\) |
−0.981563 | + | 0.191140i | \(0.938782\pi\) | |||||||
\(762\) | 150.066 | + | 31.0985i | 0.196937 | + | 0.0408116i | ||||
\(763\) | −22.5057 | + | 62.0487i | −0.0294964 | + | 0.0813220i | ||||
\(764\) | −286.636 | −0.375178 | ||||||||
\(765\) | −343.025 | − | 243.788i | −0.448399 | − | 0.318677i | ||||
\(766\) | −404.704 | + | 233.656i | −0.528334 | + | 0.305034i | ||||
\(767\) | −229.333 | + | 855.881i | −0.298999 | + | 1.11588i | ||||
\(768\) | 31.9359 | − | 35.8343i | 0.0415832 | − | 0.0466592i | ||||
\(769\) | 464.020 | 0.603407 | 0.301704 | − | 0.953402i | \(-0.402445\pi\) | ||||
0.301704 | + | 0.953402i | \(0.402445\pi\) | |||||||
\(770\) | −411.261 | + | 219.389i | −0.534105 | + | 0.284921i | ||||
\(771\) | 1188.58 | − | 780.524i | 1.54161 | − | 1.01235i | ||||
\(772\) | −147.324 | − | 549.822i | −0.190835 | − | 0.712205i | ||||
\(773\) | 91.5620 | − | 341.714i | 0.118450 | − | 0.442062i | −0.881072 | − | 0.472983i | \(-0.843177\pi\) |
0.999522 | + | 0.0309207i | \(0.00984394\pi\) | |||||||
\(774\) | 517.273 | − | 59.7084i | 0.668312 | − | 0.0771427i | ||||
\(775\) | 8.75320 | + | 82.8864i | 0.0112944 | + | 0.106950i | ||||
\(776\) | 474.208 | 0.611093 | ||||||||
\(777\) | 287.963 | − | 963.250i | 0.370609 | − | 1.23970i | ||||
\(778\) | −297.635 | − | 297.635i | −0.382564 | − | 0.382564i | ||||
\(779\) | 43.7386 | − | 75.7575i | 0.0561471 | − | 0.0972496i | ||||
\(780\) | 405.740 | + | 552.219i | 0.520180 | + | 0.707973i | ||||
\(781\) | 124.681 | + | 215.953i | 0.159642 | + | 0.276509i | ||||
\(782\) | 81.5891 | + | 304.495i | 0.104334 | + | 0.389380i | ||||
\(783\) | 751.183 | + | 528.397i | 0.959366 | + | 0.674837i | ||||
\(784\) | −150.425 | − | 125.652i | −0.191868 | − | 0.160270i | ||||
\(785\) | −332.131 | + | 108.007i | −0.423097 | + | 0.137588i | ||||
\(786\) | 625.770 | − | 35.9965i | 0.796145 | − | 0.0457971i | ||||
\(787\) | 273.087 | − | 1019.18i | 0.346998 | − | 1.29501i | −0.543263 | − | 0.839562i | \(-0.682811\pi\) |
0.890261 | − | 0.455451i | \(-0.150522\pi\) | |||||||
\(788\) | 346.796 | + | 92.9236i | 0.440096 | + | 0.117923i | ||||
\(789\) | 48.5648 | + | 844.259i | 0.0615524 | + | 1.07004i | ||||
\(790\) | −97.4052 | − | 299.530i | −0.123298 | − | 0.379152i | ||||
\(791\) | −76.5703 | + | 886.563i | −0.0968019 | + | 1.12081i | ||||
\(792\) | 88.1858 | + | 222.908i | 0.111346 | + | 0.281450i | ||||
\(793\) | 2051.93 | − | 549.813i | 2.58755 | − | 0.693333i | ||||
\(794\) | −385.250 | + | 222.424i | −0.485202 | + | 0.280131i | ||||
\(795\) | −710.413 | + | 521.973i | −0.893602 | + | 0.656570i | ||||
\(796\) | 151.015 | + | 87.1886i | 0.189717 | + | 0.109533i | ||||
\(797\) | −409.164 | + | 409.164i | −0.513380 | + | 0.513380i | −0.915560 | − | 0.402180i | \(-0.868252\pi\) |
0.402180 | + | 0.915560i | \(0.368252\pi\) | |||||||
\(798\) | −569.047 | + | 537.294i | −0.713092 | + | 0.673300i | ||||
\(799\) | − | 29.9956i | − | 0.0375414i | ||||||
\(800\) | −109.949 | − | 88.9449i | −0.137436 | − | 0.111181i | ||||
\(801\) | −1219.64 | + | 140.782i | −1.52265 | + | 0.175758i | ||||
\(802\) | −252.430 | − | 67.6385i | −0.314751 | − | 0.0843372i | ||||
\(803\) | −257.175 | + | 68.9098i | −0.320268 | + | 0.0858155i | ||||
\(804\) | 12.4924 | + | 19.0235i | 0.0155378 | + | 0.0236611i | ||||
\(805\) | −27.9807 | + | 833.776i | −0.0347587 | + | 1.03575i | ||||
\(806\) | 107.695i | 0.133617i | ||||||||
\(807\) | −274.553 | − | 244.684i | −0.340214 | − | 0.303202i | ||||
\(808\) | 101.588 | + | 27.2205i | 0.125728 | + | 0.0336887i | ||||
\(809\) | 306.322 | + | 530.566i | 0.378643 | + | 0.655829i | 0.990865 | − | 0.134857i | \(-0.0430574\pi\) |
−0.612222 | + | 0.790686i | \(0.709724\pi\) | |||||||
\(810\) | −490.003 | + | 296.559i | −0.604942 | + | 0.366122i | ||||
\(811\) | 214.154i | 0.264062i | 0.991246 | + | 0.132031i | \(0.0421499\pi\) | ||||
−0.991246 | + | 0.132031i | \(0.957850\pi\) | |||||||
\(812\) | 162.377 | − | 447.675i | 0.199971 | − | 0.551324i | ||||
\(813\) | 62.3508 | − | 300.875i | 0.0766922 | − | 0.370080i | ||||
\(814\) | 552.163 | + | 318.791i | 0.678333 | + | 0.391636i | ||||
\(815\) | −574.937 | − | 517.418i | −0.705444 | − | 0.634868i | ||||
\(816\) | 100.249 | + | 50.4369i | 0.122854 | + | 0.0618099i | ||||
\(817\) | −1041.36 | + | 279.030i | −1.27461 | + | 0.341530i | ||||
\(818\) | −422.065 | − | 422.065i | −0.515972 | − | 0.515972i | ||||
\(819\) | −755.062 | − | 1225.03i | −0.921932 | − | 1.49576i | ||||
\(820\) | −29.5809 | − | 15.0630i | −0.0360743 | − | 0.0183695i | ||||
\(821\) | 917.174 | + | 529.531i | 1.11714 | + | 0.644982i | 0.940670 | − | 0.339323i | \(-0.110198\pi\) |
0.176472 | + | 0.984306i | \(0.443531\pi\) | |||||||
\(822\) | 862.437 | − | 285.094i | 1.04919 | − | 0.346830i | ||||
\(823\) | 210.370 | − | 785.111i | 0.255614 | − | 0.953963i | −0.712135 | − | 0.702043i | \(-0.752271\pi\) |
0.967748 | − | 0.251920i | \(-0.0810619\pi\) | |||||||
\(824\) | −78.5163 | − | 45.3314i | −0.0952868 | − | 0.0550139i | ||||
\(825\) | 643.599 | − | 290.875i | 0.780120 | − | 0.352575i | ||||
\(826\) | −33.0439 | + | 382.595i | −0.0400047 | + | 0.463190i | ||||
\(827\) | −557.575 | − | 557.575i | −0.674215 | − | 0.674215i | 0.284470 | − | 0.958685i | \(-0.408182\pi\) |
−0.958685 | + | 0.284470i | \(0.908182\pi\) | |||||||
\(828\) | 424.421 | + | 62.7906i | 0.512586 | + | 0.0758341i | ||||
\(829\) | −62.6152 | − | 108.453i | −0.0755310 | − | 0.130824i | 0.825786 | − | 0.563984i | \(-0.190732\pi\) |
−0.901317 | + | 0.433160i | \(0.857399\pi\) | |||||||
\(830\) | −37.1709 | − | 705.920i | −0.0447842 | − | 0.850506i | ||||
\(831\) | 37.5483 | + | 652.746i | 0.0451845 | + | 0.785494i | ||||
\(832\) | −129.212 | − | 129.212i | −0.155303 | − | 0.155303i | ||||
\(833\) | 192.735 | − | 415.735i | 0.231375 | − | 0.499082i | ||||
\(834\) | −32.8392 | − | 50.0077i | −0.0393755 | − | 0.0599612i | ||||
\(835\) | 381.658 | + | 81.0253i | 0.457076 | + | 0.0970362i | ||||
\(836\) | −248.160 | − | 429.826i | −0.296843 | − | 0.514147i | ||||
\(837\) | −89.6555 | − | 8.03830i | −0.107115 | − | 0.00960370i | ||||
\(838\) | 213.649 | + | 797.349i | 0.254951 | + | 0.951490i | ||||
\(839\) | 217.574i | 0.259326i | 0.991558 | + | 0.129663i | \(0.0413895\pi\) | ||||
−0.991558 | + | 0.129663i | \(0.958611\pi\) | |||||||
\(840\) | 214.961 | + | 204.919i | 0.255906 | + | 0.243951i | ||||
\(841\) | 316.037 | 0.375787 | ||||||||
\(842\) | −867.267 | + | 232.383i | −1.03001 | + | 0.275990i | ||||
\(843\) | 458.195 | − | 151.465i | 0.543529 | − | 0.179673i | ||||
\(844\) | 494.553 | − | 285.530i | 0.585963 | − | 0.338306i | ||||
\(845\) | 1478.95 | − | 960.960i | 1.75023 | − | 1.13723i | ||||
\(846\) | −37.4623 | − | 16.2235i | −0.0442817 | − | 0.0191767i | ||||
\(847\) | −39.5335 | − | 222.756i | −0.0466747 | − | 0.262994i | ||||
\(848\) | 166.228 | − | 166.228i | 0.196024 | − | 0.196024i | ||||
\(849\) | −20.4503 | − | 355.512i | −0.0240876 | − | 0.418742i | ||||
\(850\) | 134.332 | − | 302.118i | 0.158038 | − | 0.355433i | ||||
\(851\) | 988.244 | − | 570.563i | 1.16127 | − | 0.670462i | ||||
\(852\) | 105.707 | − | 118.611i | 0.124070 | − | 0.139215i | ||||
\(853\) | −255.607 | + | 255.607i | −0.299657 | + | 0.299657i | −0.840879 | − | 0.541222i | \(-0.817962\pi\) |
0.541222 | + | 0.840879i | \(0.317962\pi\) | |||||||
\(854\) | 833.974 | − | 390.019i | 0.976551 | − | 0.456697i | ||||
\(855\) | 913.734 | − | 755.870i | 1.06869 | − | 0.884058i | ||||
\(856\) | −251.985 | + | 436.451i | −0.294375 | + | 0.509873i | ||||
\(857\) | −220.219 | − | 59.0075i | −0.256965 | − | 0.0688536i | 0.128037 | − | 0.991769i | \(-0.459132\pi\) |
−0.385002 | + | 0.922916i | \(0.625799\pi\) | |||||||
\(858\) | 866.482 | − | 286.431i | 1.00989 | − | 0.333836i | ||||
\(859\) | −193.810 | + | 335.689i | −0.225623 | + | 0.390791i | −0.956506 | − | 0.291712i | \(-0.905775\pi\) |
0.730883 | + | 0.682503i | \(0.239109\pi\) | |||||||
\(860\) | 126.517 | + | 389.052i | 0.147113 | + | 0.452386i | ||||
\(861\) | 59.3459 | + | 36.5727i | 0.0689267 | + | 0.0424770i | ||||
\(862\) | −15.9622 | + | 15.9622i | −0.0185177 | + | 0.0185177i | ||||
\(863\) | 347.989 | + | 1298.71i | 0.403232 | + | 1.50488i | 0.807294 | + | 0.590150i | \(0.200931\pi\) |
−0.404062 | + | 0.914732i | \(0.632402\pi\) | |||||||
\(864\) | 117.213 | − | 97.9242i | 0.135663 | − | 0.113338i | ||||
\(865\) | 496.145 | + | 446.508i | 0.573578 | + | 0.516195i | ||||
\(866\) | 106.458 | − | 184.391i | 0.122931 | − | 0.212923i | ||||
\(867\) | 122.692 | − | 592.052i | 0.141513 | − | 0.682874i | ||||
\(868\) | 8.15608 | + | 45.9563i | 0.00939640 | + | 0.0529451i | ||||
\(869\) | −419.467 | −0.482701 | ||||||||
\(870\) | −289.960 | + | 660.749i | −0.333288 | + | 0.759482i | ||||
\(871\) | 75.0333 | − | 43.3205i | 0.0861461 | − | 0.0497365i | ||||
\(872\) | −6.90263 | + | 25.7610i | −0.00791586 | + | 0.0295424i | ||||
\(873\) | 1492.67 | + | 220.832i | 1.70982 | + | 0.252958i | ||||
\(874\) | −888.299 | −1.01636 | ||||||||
\(875\) | 572.826 | − | 661.435i | 0.654658 | − | 0.755925i | ||||
\(876\) | 93.1157 | + | 141.797i | 0.106297 | + | 0.161869i | ||||
\(877\) | 42.6770 | + | 159.273i | 0.0486624 | + | 0.181611i | 0.985979 | − | 0.166867i | \(-0.0533652\pi\) |
−0.937317 | + | 0.348478i | \(0.886699\pi\) | |||||||
\(878\) | −63.6523 | + | 237.553i | −0.0724969 | + | 0.270562i | ||||
\(879\) | 73.0324 | − | 145.160i | 0.0830858 | − | 0.165142i | ||||
\(880\) | −157.930 | + | 102.617i | −0.179466 | + | 0.116610i | ||||
\(881\) | 687.003 | 0.779799 | 0.389899 | − | 0.920857i | \(-0.372510\pi\) | ||||
0.389899 | + | 0.920857i | \(0.372510\pi\) | |||||||
\(882\) | −414.980 | − | 465.568i | −0.470499 | − | 0.527855i | ||||
\(883\) | 482.231 | + | 482.231i | 0.546128 | + | 0.546128i | 0.925319 | − | 0.379190i | \(-0.123797\pi\) |
−0.379190 | + | 0.925319i | \(0.623797\pi\) | |||||||
\(884\) | 213.611 | − | 369.986i | 0.241642 | − | 0.418536i | ||||
\(885\) | 87.9509 | − | 575.192i | 0.0993796 | − | 0.649935i | ||||
\(886\) | −18.2049 | − | 31.5318i | −0.0205473 | − | 0.0355889i | ||||
\(887\) | −102.834 | − | 383.783i | −0.115935 | − | 0.432675i | 0.883420 | − | 0.468582i | \(-0.155235\pi\) |
−0.999355 | + | 0.0359064i | \(0.988568\pi\) | |||||||
\(888\) | 82.4326 | − | 397.780i | 0.0928295 | − | 0.447951i | ||||
\(889\) | 21.7577 | − | 251.920i | 0.0244743 | − | 0.283374i | ||||
\(890\) | −298.306 | − | 917.318i | −0.335175 | − | 1.03069i | ||||
\(891\) | 173.779 | + | 742.720i | 0.195038 | + | 0.833581i | ||||
\(892\) | −67.7490 | + | 252.843i | −0.0759518 | + | 0.283456i | ||||
\(893\) | 81.6440 | + | 21.8764i | 0.0914266 | + | 0.0244977i | ||||
\(894\) | −419.346 | + | 24.1223i | −0.469067 | + | 0.0269824i | ||||
\(895\) | 576.370 | − | 1131.88i | 0.643988 | − | 1.26467i | ||||
\(896\) | −64.9240 | − | 45.3527i | −0.0724599 | − | 0.0506169i | ||||
\(897\) | 331.437 | − | 1599.36i | 0.369495 | − | 1.78301i | ||||
\(898\) | −805.971 | + | 215.959i | −0.897518 | + | 0.240489i | ||||
\(899\) | −98.2100 | + | 56.7016i | −0.109244 | + | 0.0630718i | ||||
\(900\) | −304.668 | − | 331.176i | −0.338520 | − | 0.367973i | ||||
\(901\) | 475.976 | + | 274.805i | 0.528275 | + | 0.305000i | ||||
\(902\) | −31.2601 | + | 31.2601i | −0.0346564 | + | 0.0346564i | ||||
\(903\) | −198.458 | − | 835.888i | −0.219776 | − | 0.925679i | ||||
\(904\) | 359.559i | 0.397742i | ||||||||
\(905\) | 1288.92 | − | 837.485i | 1.42422 | − | 0.925398i | ||||
\(906\) | 313.655 | − | 623.424i | 0.346198 | − | 0.688106i | ||||
\(907\) | 294.172 | + | 78.8230i | 0.324335 | + | 0.0869052i | 0.417313 | − | 0.908763i | \(-0.362972\pi\) |
−0.0929781 | + | 0.995668i | \(0.529639\pi\) | |||||||
\(908\) | −40.5417 | + | 10.8631i | −0.0446494 | + | 0.0119638i | ||||
\(909\) | 307.095 | + | 132.991i | 0.337838 | + | 0.146304i | ||||
\(910\) | 825.825 | − | 772.197i | 0.907500 | − | 0.848568i | ||||
\(911\) | 1039.66i | 1.14123i | 0.821217 | + | 0.570616i | \(0.193295\pi\) | ||||
−0.821217 | + | 0.570616i | \(0.806705\pi\) | |||||||
\(912\) | −210.396 | + | 236.079i | −0.230698 | + | 0.258859i | ||||
\(913\) | −909.347 | − | 243.659i | −0.995999 | − | 0.266877i | ||||
\(914\) | 296.144 | + | 512.936i | 0.324009 | + | 0.561199i | ||||
\(915\) | −1299.67 | + | 506.889i | −1.42041 | + | 0.553977i | ||||
\(916\) | 595.030i | 0.649596i | ||||||||
\(917\) | −180.716 | − | 1018.26i | −0.197073 | − | 1.11043i | ||||
\(918\) | 292.067 | + | 205.446i | 0.318156 | + | 0.223797i | ||||
\(919\) | −182.051 | − | 105.107i | −0.198097 | − | 0.114371i | 0.397671 | − | 0.917528i | \(-0.369819\pi\) |
−0.595768 | + | 0.803157i | \(0.703152\pi\) | |||||||
\(920\) | 17.7250 | + | 336.620i | 0.0192663 | + | 0.365891i | ||||
\(921\) | 340.013 | − | 675.812i | 0.369178 | − | 0.733781i | ||||
\(922\) | −860.764 | + | 230.641i | −0.933584 | + | 0.250153i | ||||
\(923\) | −427.691 | − | 427.691i | −0.463370 | − | 0.463370i | ||||
\(924\) | 348.059 | − | 187.849i | 0.376687 | − | 0.203300i | ||||
\(925\) | −1182.23 | − | 186.647i | −1.27809 | − | 0.201780i | ||||
\(926\) | −189.971 | − | 109.680i | −0.205152 | − | 0.118444i | ||||
\(927\) | −226.037 | − | 179.255i | −0.243837 | − | 0.193371i | ||||
\(928\) | 49.8018 | − | 185.863i | 0.0536657 | − | 0.200283i | ||||
\(929\) | 281.902 | + | 162.756i | 0.303447 | + | 0.175195i | 0.643990 | − | 0.765034i | \(-0.277278\pi\) |
−0.340544 | + | 0.940229i | \(0.610611\pi\) | |||||||
\(930\) | −7.76856 | − | 70.2946i | −0.00835328 | − | 0.0755855i | ||||
\(931\) | 991.009 | + | 827.805i | 1.06446 | + | 0.889156i | ||||
\(932\) | −27.1263 | − | 27.1263i | −0.0291055 | − | 0.0291055i | ||||
\(933\) | −147.322 | + | 165.306i | −0.157902 | + | 0.177177i | ||||
\(934\) | 621.684 | + | 1076.79i | 0.665614 | + | 1.15288i | ||||
\(935\) | −327.303 | − | 294.558i | −0.350056 | − | 0.315035i | ||||
\(936\) | −346.552 | − | 466.897i | −0.370248 | − | 0.498821i | ||||
\(937\) | 760.474 | + | 760.474i | 0.811605 | + | 0.811605i | 0.984874 | − | 0.173269i | \(-0.0554331\pi\) |
−0.173269 | + | 0.984874i | \(0.555433\pi\) | |||||||
\(938\) | 28.7379 | − | 24.1685i | 0.0306374 | − | 0.0257660i | ||||
\(939\) | −555.156 | + | 364.562i | −0.591220 | + | 0.388244i | ||||
\(940\) | 6.66093 | − | 31.3754i | 0.00708609 | − | 0.0333781i | ||||
\(941\) | −227.399 | − | 393.866i | −0.241656 | − | 0.418561i | 0.719530 | − | 0.694461i | \(-0.244357\pi\) |
−0.961186 | + | 0.275900i | \(0.911024\pi\) | |||||||
\(942\) | 281.374 | − | 93.0133i | 0.298699 | − | 0.0987403i | ||||
\(943\) | 20.4785 | + | 76.4268i | 0.0217163 | + | 0.0810464i | ||||
\(944\) | 155.167i | 0.164372i | ||||||||
\(945\) | 581.210 | + | 745.131i | 0.615037 | + | 0.788498i | ||||
\(946\) | 544.836 | 0.575936 | ||||||||
\(947\) | 1172.04 | − | 314.048i | 1.23764 | − | 0.331624i | 0.420090 | − | 0.907483i | \(-0.361999\pi\) |
0.817550 | + | 0.575858i | \(0.195332\pi\) | |||||||
\(948\) | 83.8835 | + | 253.756i | 0.0884847 | + | 0.267675i | ||||
\(949\) | 559.282 | − | 322.902i | 0.589338 | − | 0.340255i | ||||
\(950\) | 724.353 | + | 585.976i | 0.762477 | + | 0.616817i | ||||
\(951\) | −234.894 | − | 357.697i | −0.246997 | − | 0.376128i | ||||
\(952\) | 63.1335 | − | 174.060i | 0.0663167 | − | 0.182836i | ||||
\(953\) | −896.876 | + | 896.876i | −0.941109 | + | 0.941109i | −0.998360 | − | 0.0572512i | \(-0.981766\pi\) |
0.0572512 | + | 0.998360i | \(0.481766\pi\) | |||||||
\(954\) | 600.649 | − | 445.829i | 0.629611 | − | 0.467326i | ||||
\(955\) | −37.6806 | − | 715.599i | −0.0394561 | − | 0.749318i | ||||
\(956\) | −239.445 | + | 138.243i | −0.250465 | + | 0.144606i | ||||
\(957\) | 717.409 | + | 639.362i | 0.749643 | + | 0.668090i | ||||
\(958\) | −104.726 | + | 104.726i | −0.109318 | + | 0.109318i | ||||
\(959\) | −634.880 | − | 1357.56i | −0.662023 | − | 1.41560i | ||||
\(960\) | 93.6600 | + | 75.0186i | 0.0975625 | + | 0.0781444i | ||||
\(961\) | −474.943 | + | 822.625i | −0.494217 | + | 0.856009i | ||||
\(962\) | −1493.81 | − | 400.266i | −1.55282 | − | 0.416076i | ||||
\(963\) | −996.428 | + | 1256.48i | −1.03471 | + | 1.30475i | ||||
\(964\) | −226.163 | + | 391.725i | −0.234609 | + | 0.406354i | ||||
\(965\) | 1353.29 | − | 440.080i | 1.40237 | − | 0.456041i | ||||
\(966\) | 20.3088 | − | 707.589i | 0.0210236 | − | 0.732494i | ||||
\(967\) | 307.000 | − | 307.000i | 0.317477 | − | 0.317477i | −0.530320 | − | 0.847797i | \(-0.677928\pi\) |
0.847797 | + | 0.530320i | \(0.177928\pi\) | |||||||
\(968\) | −23.6596 | − | 88.2987i | −0.0244417 | − | 0.0912176i | ||||
\(969\) | −660.446 | − | 332.282i | −0.681575 | − | 0.342912i | ||||
\(970\) | 62.3383 | + | 1183.88i | 0.0642663 | + | 1.22049i | ||||
\(971\) | 442.218 | − | 765.945i | 0.455426 | − | 0.788821i | −0.543287 | − | 0.839547i | \(-0.682820\pi\) |
0.998713 | + | 0.0507266i | \(0.0161537\pi\) | |||||||
\(972\) | 414.555 | − | 253.653i | 0.426497 | − | 0.260960i | ||||
\(973\) | −75.5443 | + | 63.5326i | −0.0776406 | + | 0.0652955i | ||||
\(974\) | −782.885 | −0.803783 | ||||||||
\(975\) | −1325.30 | + | 1085.54i | −1.35928 | + | 1.11337i | ||||
\(976\) | 322.166 | − | 186.003i | 0.330088 | − | 0.190577i | ||||
\(977\) | −387.848 | + | 1447.47i | −0.396979 | + | 1.48155i | 0.421404 | + | 0.906873i | \(0.361537\pi\) |
−0.818383 | + | 0.574673i | \(0.805129\pi\) | |||||||
\(978\) | 489.975 | + | 436.671i | 0.500997 | + | 0.446494i | ||||
\(979\) | −1284.63 | −1.31218 | ||||||||
\(980\) | 293.921 | − | 392.059i | 0.299919 | − | 0.400061i | ||||
\(981\) | −33.7241 | + | 77.8738i | −0.0343772 | + | 0.0793820i | ||||
\(982\) | −77.7216 | − | 290.061i | −0.0791462 | − | 0.295378i | ||||
\(983\) | 387.163 | − | 1444.91i | 0.393859 | − | 1.46990i | −0.429856 | − | 0.902897i | \(-0.641436\pi\) |
0.823715 | − | 0.567004i | \(-0.191898\pi\) | |||||||
\(984\) | 25.1620 | + | 12.6594i | 0.0255711 | + | 0.0128653i | ||||
\(985\) | −186.399 | + | 878.005i | −0.189237 | + | 0.891375i | ||||
\(986\) | 449.867 | 0.456254 | ||||||||
\(987\) | −19.2926 | + | 64.5347i | −0.0195467 | + | 0.0653847i | ||||
\(988\) | 851.261 | + | 851.261i | 0.861600 | + | 0.861600i | ||||
\(989\) | 487.565 | − | 844.487i | 0.492988 | − | 0.853880i | ||||
\(990\) | −544.908 | + | 249.463i | −0.550412 | + | 0.251982i | ||||
\(991\) | −700.783 | − | 1213.79i | −0.707148 | − | 1.22482i | −0.965911 | − | 0.258875i | \(-0.916648\pi\) |
0.258763 | − | 0.965941i | \(-0.416685\pi\) | |||||||
\(992\) | 4.88116 | + | 18.2167i | 0.00492052 | + | 0.0183636i | ||||
\(993\) | 1532.34 | + | 317.549i | 1.54314 | + | 0.319788i | ||||
\(994\) | −214.897 | − | 150.117i | −0.216194 | − | 0.151023i | ||||
\(995\) | −197.818 | + | 388.477i | −0.198812 | + | 0.390429i | ||||
\(996\) | 34.4470 | + | 598.833i | 0.0345854 | + | 0.601238i | ||||
\(997\) | 481.571 | − | 1797.25i | 0.483020 | − | 1.80265i | −0.105798 | − | 0.994388i | \(-0.533740\pi\) |
0.588817 | − | 0.808266i | \(-0.299594\pi\) | |||||||
\(998\) | 228.628 | + | 61.2607i | 0.229086 | + | 0.0613834i | ||||
\(999\) | 444.716 | − | 1213.71i | 0.445161 | − | 1.21493i |
(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 | 210.3.w.a.173.10 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.b.173.12 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.b.47.15 | yes | 64 | ||
7.3 | odd | 6 | inner | 210.3.w.a.143.5 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.a.47.5 | yes | 64 | |
21.17 | even | 6 | 210.3.w.b.143.15 | yes | 64 | ||
35.17 | even | 12 | 210.3.w.b.17.12 | yes | 64 | ||
105.17 | odd | 12 | inner | 210.3.w.a.17.10 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.10 | ✓ | 64 | 105.17 | odd | 12 | inner | |
210.3.w.a.47.5 | yes | 64 | 15.2 | even | 4 | inner | |
210.3.w.a.143.5 | yes | 64 | 7.3 | odd | 6 | inner | |
210.3.w.a.173.10 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.17.12 | yes | 64 | 35.17 | even | 12 | ||
210.3.w.b.47.15 | yes | 64 | 5.2 | odd | 4 | ||
210.3.w.b.143.15 | yes | 64 | 21.17 | even | 6 | ||
210.3.w.b.173.12 | yes | 64 | 3.2 | odd | 2 |