Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,3,Mod(14,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.h (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: | \(1.22616118962\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{18} - 19 x^{16} + 66 x^{14} + 109 x^{12} - 813 x^{10} + 981 x^{8} + 5346 x^{6} + \cdots + 59049 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{10} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 14.9 | ||
Root | \(0.346576 + 1.69702i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.14 |
Dual form | 45.3.h.a.29.9 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42081 | + | 2.46092i | 0.710405 | + | 1.23046i | 0.964705 | + | 0.263332i | \(0.0848216\pi\) |
−0.254300 | + | 0.967125i | \(0.581845\pi\) | |||||||
\(3\) | −2.93933 | + | 0.600288i | −0.979776 | + | 0.200096i | ||||
\(4\) | −2.03740 | + | 3.52889i | −0.509351 | + | 0.882222i | ||||
\(5\) | −1.22790 | + | 4.84688i | −0.245580 | + | 0.969376i | ||||
\(6\) | −5.65349 | − | 6.38055i | −0.942248 | − | 1.06342i | ||||
\(7\) | 8.42581 | − | 4.86464i | 1.20369 | − | 0.694949i | 0.242314 | − | 0.970198i | \(-0.422094\pi\) |
0.961373 | + | 0.275249i | \(0.0887603\pi\) | |||||||
\(8\) | −0.212574 | −0.0265717 | ||||||||
\(9\) | 8.27931 | − | 3.52889i | 0.919923 | − | 0.392099i | ||||
\(10\) | −13.6724 | + | 3.86473i | −1.36724 | + | 0.386473i | ||||
\(11\) | 0.370966 | − | 0.214177i | 0.0337242 | − | 0.0194707i | −0.483043 | − | 0.875597i | \(-0.660469\pi\) |
0.516767 | + | 0.856126i | \(0.327135\pi\) | |||||||
\(12\) | 3.87025 | − | 11.5956i | 0.322521 | − | 0.966299i | ||||
\(13\) | −16.2396 | − | 9.37595i | −1.24920 | − | 0.721227i | −0.278252 | − | 0.960508i | \(-0.589755\pi\) |
−0.970950 | + | 0.239281i | \(0.923088\pi\) | |||||||
\(14\) | 23.9429 | + | 13.8235i | 1.71021 | + | 0.987391i | ||||
\(15\) | 0.699685 | − | 14.9837i | 0.0466457 | − | 0.998911i | ||||
\(16\) | 7.84759 | + | 13.5924i | 0.490474 | + | 0.849526i | ||||
\(17\) | 2.85718 | 0.168069 | 0.0840347 | − | 0.996463i | \(-0.473219\pi\) | ||||
0.0840347 | + | 0.996463i | \(0.473219\pi\) | |||||||
\(18\) | 20.4476 | + | 15.3608i | 1.13598 | + | 0.853378i | ||||
\(19\) | 0.530568 | 0.0279246 | 0.0139623 | − | 0.999903i | \(-0.495556\pi\) | ||||
0.0139623 | + | 0.999903i | \(0.495556\pi\) | |||||||
\(20\) | −14.6024 | − | 14.2082i | −0.730118 | − | 0.710409i | ||||
\(21\) | −21.8460 | + | 19.3567i | −1.04029 | + | 0.921747i | ||||
\(22\) | 1.05414 | + | 0.608611i | 0.0479157 | + | 0.0276641i | ||||
\(23\) | 10.8863 | − | 18.8557i | 0.473319 | − | 0.819813i | −0.526214 | − | 0.850352i | \(-0.676389\pi\) |
0.999534 | + | 0.0305388i | \(0.00972230\pi\) | |||||||
\(24\) | 0.624825 | − | 0.127606i | 0.0260344 | − | 0.00531690i | ||||
\(25\) | −21.9845 | − | 11.9030i | −0.879380 | − | 0.476120i | ||||
\(26\) | − | 53.2858i | − | 2.04945i | ||||||
\(27\) | −22.2173 | + | 15.3425i | −0.822862 | + | 0.568242i | ||||
\(28\) | 39.6450i | 1.41589i | ||||||||
\(29\) | −21.0633 | + | 12.1609i | −0.726320 | + | 0.419341i | −0.817074 | − | 0.576532i | \(-0.804405\pi\) |
0.0907547 | + | 0.995873i | \(0.471072\pi\) | |||||||
\(30\) | 37.8677 | − | 19.5671i | 1.26226 | − | 0.652236i | ||||
\(31\) | 6.33163 | − | 10.9667i | 0.204246 | − | 0.353765i | −0.745646 | − | 0.666342i | \(-0.767859\pi\) |
0.949892 | + | 0.312577i | \(0.101192\pi\) | |||||||
\(32\) | −22.7250 | + | 39.3609i | −0.710157 | + | 1.23003i | ||||
\(33\) | −0.961823 | + | 0.852224i | −0.0291462 | + | 0.0258250i | ||||
\(34\) | 4.05951 | + | 7.03128i | 0.119397 | + | 0.206802i | ||||
\(35\) | 13.2323 | + | 46.8122i | 0.378065 | + | 1.33749i | ||||
\(36\) | −4.41525 | + | 36.4065i | −0.122646 | + | 1.01129i | ||||
\(37\) | − | 14.5875i | − | 0.394257i | −0.980378 | − | 0.197129i | \(-0.936838\pi\) | ||
0.980378 | − | 0.197129i | \(-0.0631617\pi\) | |||||||
\(38\) | 0.753837 | + | 1.30568i | 0.0198378 | + | 0.0343601i | ||||
\(39\) | 53.3619 | + | 17.8106i | 1.36825 | + | 0.456681i | ||||
\(40\) | 0.261020 | − | 1.03032i | 0.00652550 | − | 0.0257580i | ||||
\(41\) | −33.1200 | − | 19.1218i | −0.807804 | − | 0.466386i | 0.0383889 | − | 0.999263i | \(-0.487777\pi\) |
−0.846193 | + | 0.532877i | \(0.821111\pi\) | |||||||
\(42\) | −78.6743 | − | 26.2591i | −1.87320 | − | 0.625216i | ||||
\(43\) | 50.0269 | − | 28.8831i | 1.16342 | − | 0.671699i | 0.211297 | − | 0.977422i | \(-0.432231\pi\) |
0.952121 | + | 0.305723i | \(0.0988980\pi\) | |||||||
\(44\) | 1.74546i | 0.0396696i | ||||||||
\(45\) | 6.93791 | + | 44.4620i | 0.154176 | + | 0.988043i | ||||
\(46\) | 61.8697 | 1.34499 | ||||||||
\(47\) | 24.7850 | + | 42.9289i | 0.527341 | + | 0.913381i | 0.999492 | + | 0.0318635i | \(0.0101442\pi\) |
−0.472152 | + | 0.881517i | \(0.656522\pi\) | |||||||
\(48\) | −31.2260 | − | 35.2418i | −0.650542 | − | 0.734204i | ||||
\(49\) | 22.8295 | − | 39.5418i | 0.465908 | − | 0.806976i | ||||
\(50\) | −1.94356 | − | 71.0139i | −0.0388712 | − | 1.42028i | ||||
\(51\) | −8.39819 | + | 1.71513i | −0.164670 | + | 0.0336300i | ||||
\(52\) | 66.1734 | − | 38.2052i | 1.27256 | − | 0.734716i | ||||
\(53\) | −44.5876 | −0.841275 | −0.420637 | − | 0.907229i | \(-0.638193\pi\) | ||||
−0.420637 | + | 0.907229i | \(0.638193\pi\) | |||||||
\(54\) | −69.3232 | − | 32.8760i | −1.28376 | − | 0.608815i | ||||
\(55\) | 0.582582 | + | 2.06102i | 0.0105924 | + | 0.0374730i | ||||
\(56\) | −1.79111 | + | 1.03410i | −0.0319840 | + | 0.0184660i | ||||
\(57\) | −1.55951 | + | 0.318494i | −0.0273599 | + | 0.00558761i | ||||
\(58\) | −59.8538 | − | 34.5566i | −1.03196 | − | 0.595804i | ||||
\(59\) | −54.6329 | − | 31.5423i | −0.925981 | − | 0.534615i | −0.0404426 | − | 0.999182i | \(-0.512877\pi\) |
−0.885538 | + | 0.464567i | \(0.846210\pi\) | |||||||
\(60\) | 51.4501 | + | 32.9969i | 0.857502 | + | 0.549948i | ||||
\(61\) | 11.0823 | + | 19.1951i | 0.181677 | + | 0.314673i | 0.942452 | − | 0.334343i | \(-0.108514\pi\) |
−0.760775 | + | 0.649016i | \(0.775181\pi\) | |||||||
\(62\) | 35.9842 | 0.580390 | ||||||||
\(63\) | 52.5931 | − | 70.0096i | 0.834811 | − | 1.11126i | ||||
\(64\) | −66.3710 | −1.03705 | ||||||||
\(65\) | 65.3848 | − | 67.1988i | 1.00592 | − | 1.03383i | ||||
\(66\) | −3.46382 | − | 1.15612i | −0.0524821 | − | 0.0175169i | ||||
\(67\) | 28.1839 | + | 16.2720i | 0.420655 | + | 0.242866i | 0.695358 | − | 0.718664i | \(-0.255246\pi\) |
−0.274702 | + | 0.961529i | \(0.588579\pi\) | |||||||
\(68\) | −5.82123 | + | 10.0827i | −0.0856063 | + | 0.148274i | ||||
\(69\) | −20.6797 | + | 61.9581i | −0.299706 | + | 0.897943i | ||||
\(70\) | −96.4003 | + | 99.0748i | −1.37715 | + | 1.41535i | ||||
\(71\) | 89.8896i | 1.26605i | 0.774131 | + | 0.633025i | \(0.218187\pi\) | ||||
−0.774131 | + | 0.633025i | \(0.781813\pi\) | |||||||
\(72\) | −1.75996 | + | 0.750149i | −0.0244440 | + | 0.0104187i | ||||
\(73\) | 144.328i | 1.97709i | 0.150926 | + | 0.988545i | \(0.451775\pi\) | ||||
−0.150926 | + | 0.988545i | \(0.548225\pi\) | |||||||
\(74\) | 35.8987 | − | 20.7261i | 0.485117 | − | 0.280082i | ||||
\(75\) | 71.7649 | + | 21.7898i | 0.956866 | + | 0.290530i | ||||
\(76\) | −1.08098 | + | 1.87232i | −0.0142234 | + | 0.0246357i | ||||
\(77\) | 2.08379 | − | 3.60923i | 0.0270622 | − | 0.0468732i | ||||
\(78\) | 31.9868 | + | 156.625i | 0.410087 | + | 2.00801i | ||||
\(79\) | −25.1240 | − | 43.5160i | −0.318025 | − | 0.550836i | 0.662051 | − | 0.749459i | \(-0.269686\pi\) |
−0.980076 | + | 0.198623i | \(0.936353\pi\) | |||||||
\(80\) | −75.5169 | + | 21.3462i | −0.943961 | + | 0.266827i | ||||
\(81\) | 56.0939 | − | 58.4335i | 0.692518 | − | 0.721401i | ||||
\(82\) | − | 108.674i | − | 1.32529i | ||||||
\(83\) | −38.2556 | − | 66.2606i | −0.460911 | − | 0.798321i | 0.538096 | − | 0.842884i | \(-0.319144\pi\) |
−0.999007 | + | 0.0445628i | \(0.985811\pi\) | |||||||
\(84\) | −23.7984 | − | 116.530i | −0.283314 | − | 1.38726i | ||||
\(85\) | −3.50834 | + | 13.8484i | −0.0412746 | + | 0.162922i | ||||
\(86\) | 142.158 | + | 82.0747i | 1.65300 | + | 0.954357i | ||||
\(87\) | 54.6118 | − | 48.3889i | 0.627722 | − | 0.556194i | ||||
\(88\) | −0.0788577 | + | 0.0455285i | −0.000896110 | + | 0.000517369i | ||||
\(89\) | − | 28.9588i | − | 0.325379i | −0.986677 | − | 0.162690i | \(-0.947983\pi\) | ||
0.986677 | − | 0.162690i | \(-0.0520169\pi\) | |||||||
\(90\) | −99.5597 | + | 80.2456i | −1.10622 | + | 0.891618i | ||||
\(91\) | −182.443 | −2.00486 | ||||||||
\(92\) | 44.3598 | + | 76.8334i | 0.482171 | + | 0.835145i | ||||
\(93\) | −12.0276 | + | 36.0355i | −0.129329 | + | 0.387479i | ||||
\(94\) | −70.4296 | + | 121.988i | −0.749251 | + | 1.29774i | ||||
\(95\) | −0.651486 | + | 2.57160i | −0.00685775 | + | 0.0270695i | ||||
\(96\) | 43.1684 | − | 129.336i | 0.449671 | − | 1.34725i | ||||
\(97\) | −19.9099 | + | 11.4950i | −0.205257 | + | 0.118505i | −0.599105 | − | 0.800670i | \(-0.704477\pi\) |
0.393848 | + | 0.919175i | \(0.371143\pi\) | |||||||
\(98\) | 129.746 | 1.32393 | ||||||||
\(99\) | 2.31554 | − | 3.08234i | 0.0233892 | − | 0.0311347i | ||||
\(100\) | 86.7956 | − | 53.3296i | 0.867956 | − | 0.533296i | ||||
\(101\) | −49.7337 | + | 28.7138i | −0.492413 | + | 0.284295i | −0.725575 | − | 0.688143i | \(-0.758426\pi\) |
0.233162 | + | 0.972438i | \(0.425093\pi\) | |||||||
\(102\) | −16.1530 | − | 18.2304i | −0.158363 | − | 0.178729i | ||||
\(103\) | −74.6430 | − | 43.0952i | −0.724689 | − | 0.418400i | 0.0917868 | − | 0.995779i | \(-0.470742\pi\) |
−0.816476 | + | 0.577379i | \(0.804076\pi\) | |||||||
\(104\) | 3.45212 | + | 1.99308i | 0.0331935 | + | 0.0191643i | ||||
\(105\) | −66.9948 | − | 129.653i | −0.638046 | − | 1.23479i | ||||
\(106\) | −63.3504 | − | 109.726i | −0.597646 | − | 1.03515i | ||||
\(107\) | −97.0919 | −0.907401 | −0.453701 | − | 0.891154i | \(-0.649896\pi\) | ||||
−0.453701 | + | 0.891154i | \(0.649896\pi\) | |||||||
\(108\) | −8.87650 | − | 109.661i | −0.0821898 | − | 1.01538i | ||||
\(109\) | 164.495 | 1.50913 | 0.754565 | − | 0.656225i | \(-0.227848\pi\) | ||||
0.754565 | + | 0.656225i | \(0.227848\pi\) | |||||||
\(110\) | −4.24425 | + | 4.36200i | −0.0385841 | + | 0.0396545i | ||||
\(111\) | 8.75671 | + | 42.8775i | 0.0788893 | + | 0.386284i | ||||
\(112\) | 132.245 | + | 76.3514i | 1.18075 | + | 0.681709i | ||||
\(113\) | −21.4024 | + | 37.0700i | −0.189401 | + | 0.328053i | −0.945051 | − | 0.326924i | \(-0.893988\pi\) |
0.755649 | + | 0.654976i | \(0.227321\pi\) | |||||||
\(114\) | −2.99956 | − | 3.38532i | −0.0263119 | − | 0.0296957i | ||||
\(115\) | 78.0240 | + | 75.9178i | 0.678470 | + | 0.660155i | ||||
\(116\) | − | 99.1065i | − | 0.854366i | ||||||
\(117\) | −167.540 | − | 20.3186i | −1.43196 | − | 0.173663i | ||||
\(118\) | − | 179.262i | − | 1.51917i | ||||||
\(119\) | 24.0740 | − | 13.8992i | 0.202303 | − | 0.116800i | ||||
\(120\) | −0.148735 | + | 3.18514i | −0.00123946 | + | 0.0265428i | ||||
\(121\) | −60.4083 | + | 104.630i | −0.499242 | + | 0.864712i | ||||
\(122\) | −31.4916 | + | 54.5451i | −0.258128 | + | 0.447091i | ||||
\(123\) | 108.829 | + | 36.3238i | 0.884789 | + | 0.295315i | ||||
\(124\) | 25.8002 | + | 44.6872i | 0.208066 | + | 0.360381i | ||||
\(125\) | 84.6872 | − | 91.9406i | 0.677498 | − | 0.735525i | ||||
\(126\) | 247.013 | + | 29.9568i | 1.96042 | + | 0.237752i | ||||
\(127\) | − | 78.7223i | − | 0.619861i | −0.950759 | − | 0.309931i | \(-0.899694\pi\) | ||
0.950759 | − | 0.309931i | \(-0.100306\pi\) | |||||||
\(128\) | −3.40059 | − | 5.88999i | −0.0265671 | − | 0.0460155i | ||||
\(129\) | −129.707 | + | 114.927i | −1.00548 | + | 0.890910i | ||||
\(130\) | 258.270 | + | 65.4298i | 1.98669 | + | 0.503306i | ||||
\(131\) | 158.295 | + | 91.3914i | 1.20836 | + | 0.697644i | 0.962400 | − | 0.271637i | \(-0.0875649\pi\) |
0.245956 | + | 0.969281i | \(0.420898\pi\) | |||||||
\(132\) | −1.04778 | − | 5.13049i | −0.00793773 | − | 0.0388673i | ||||
\(133\) | 4.47047 | − | 2.58103i | 0.0336125 | − | 0.0194062i | ||||
\(134\) | 92.4776i | 0.690132i | ||||||||
\(135\) | −47.0828 | − | 126.524i | −0.348761 | − | 0.937212i | ||||
\(136\) | −0.607362 | −0.00446589 | ||||||||
\(137\) | −2.78196 | − | 4.81850i | −0.0203063 | − | 0.0351715i | 0.855694 | − | 0.517483i | \(-0.173131\pi\) |
−0.876000 | + | 0.482311i | \(0.839797\pi\) | |||||||
\(138\) | −181.856 | + | 37.1396i | −1.31779 | + | 0.269128i | ||||
\(139\) | 84.9601 | − | 147.155i | 0.611224 | − | 1.05867i | −0.379810 | − | 0.925064i | \(-0.624011\pi\) |
0.991034 | − | 0.133607i | \(-0.0426559\pi\) | |||||||
\(140\) | −192.154 | − | 48.6801i | −1.37253 | − | 0.347715i | ||||
\(141\) | −98.6210 | − | 111.304i | −0.699440 | − | 0.789390i | ||||
\(142\) | −221.211 | + | 127.716i | −1.55782 | + | 0.899409i | ||||
\(143\) | −8.03247 | −0.0561711 | ||||||||
\(144\) | 112.939 | + | 84.8426i | 0.784297 | + | 0.589185i | ||||
\(145\) | −33.0787 | − | 117.024i | −0.228129 | − | 0.807059i | ||||
\(146\) | −355.178 | + | 205.062i | −2.43273 | + | 1.40454i | ||||
\(147\) | −43.3669 | + | 129.931i | −0.295013 | + | 0.883883i | ||||
\(148\) | 51.4777 | + | 29.7207i | 0.347822 | + | 0.200815i | ||||
\(149\) | −69.9180 | − | 40.3672i | −0.469249 | − | 0.270921i | 0.246677 | − | 0.969098i | \(-0.420661\pi\) |
−0.715925 | + | 0.698177i | \(0.753995\pi\) | |||||||
\(150\) | 48.3415 | + | 207.567i | 0.322277 | + | 1.38378i | ||||
\(151\) | −44.1372 | − | 76.4478i | −0.292299 | − | 0.506277i | 0.682054 | − | 0.731302i | \(-0.261087\pi\) |
−0.974353 | + | 0.225025i | \(0.927754\pi\) | |||||||
\(152\) | −0.112785 | −0.000742006 | ||||||||
\(153\) | 23.6555 | − | 10.0827i | 0.154611 | − | 0.0658998i | ||||
\(154\) | 11.8427 | 0.0769006 | ||||||||
\(155\) | 45.3797 | + | 44.1547i | 0.292772 | + | 0.284869i | ||||
\(156\) | −171.571 | + | 152.021i | −1.09982 | + | 0.974492i | ||||
\(157\) | −54.3401 | − | 31.3732i | −0.346115 | − | 0.199830i | 0.316858 | − | 0.948473i | \(-0.397372\pi\) |
−0.662973 | + | 0.748643i | \(0.730706\pi\) | |||||||
\(158\) | 71.3929 | − | 123.656i | 0.451854 | − | 0.782633i | ||||
\(159\) | 131.057 | − | 26.7654i | 0.824261 | − | 0.168336i | ||||
\(160\) | −162.873 | − | 158.477i | −1.01796 | − | 0.990480i | ||||
\(161\) | − | 211.833i | − | 1.31573i | ||||||
\(162\) | 223.499 | + | 55.0195i | 1.37962 | + | 0.339627i | ||||
\(163\) | 241.437i | 1.48121i | 0.671941 | + | 0.740605i | \(0.265461\pi\) | ||||
−0.671941 | + | 0.740605i | \(0.734539\pi\) | |||||||
\(164\) | 134.957 | − | 77.9177i | 0.822911 | − | 0.475108i | ||||
\(165\) | −2.94960 | − | 5.70829i | −0.0178764 | − | 0.0345957i | ||||
\(166\) | 108.708 | − | 188.288i | 0.654867 | − | 1.13426i | ||||
\(167\) | 66.5872 | − | 115.332i | 0.398726 | − | 0.690613i | −0.594843 | − | 0.803842i | \(-0.702786\pi\) |
0.993569 | + | 0.113229i | \(0.0361193\pi\) | |||||||
\(168\) | 4.64390 | − | 4.11473i | 0.0276422 | − | 0.0244924i | ||||
\(169\) | 91.3170 | + | 158.166i | 0.540338 | + | 0.935892i | ||||
\(170\) | −39.0644 | + | 11.0422i | −0.229791 | + | 0.0649543i | ||||
\(171\) | 4.39274 | − | 1.87232i | 0.0256885 | − | 0.0109492i | ||||
\(172\) | 235.386i | 1.36852i | ||||||||
\(173\) | 33.5211 | + | 58.0603i | 0.193764 | + | 0.335609i | 0.946495 | − | 0.322720i | \(-0.104597\pi\) |
−0.752731 | + | 0.658328i | \(0.771264\pi\) | |||||||
\(174\) | 196.674 | + | 65.6437i | 1.13031 | + | 0.377263i | ||||
\(175\) | −243.141 | + | 6.65445i | −1.38938 | + | 0.0380254i | ||||
\(176\) | 5.82238 | + | 3.36155i | 0.0330817 | + | 0.0190997i | ||||
\(177\) | 179.518 | + | 59.9177i | 1.01423 | + | 0.338518i | ||||
\(178\) | 71.2651 | − | 41.1449i | 0.400366 | − | 0.231151i | ||||
\(179\) | 37.9613i | 0.212074i | 0.994362 | + | 0.106037i | \(0.0338162\pi\) | ||||
−0.994362 | + | 0.106037i | \(0.966184\pi\) | |||||||
\(180\) | −171.037 | − | 66.1038i | −0.950203 | − | 0.367244i | ||||
\(181\) | 278.012 | 1.53598 | 0.767990 | − | 0.640462i | \(-0.221257\pi\) | ||||
0.767990 | + | 0.640462i | \(0.221257\pi\) | |||||||
\(182\) | −259.216 | − | 448.976i | −1.42427 | − | 2.46690i | ||||
\(183\) | −44.0970 | − | 49.7681i | −0.240967 | − | 0.271957i | ||||
\(184\) | −2.31415 | + | 4.00823i | −0.0125769 | + | 0.0217839i | ||||
\(185\) | 70.7040 | + | 17.9121i | 0.382184 | + | 0.0968219i | ||||
\(186\) | −105.769 | + | 21.6009i | −0.568652 | + | 0.116134i | ||||
\(187\) | 1.05992 | − | 0.611943i | 0.00566800 | − | 0.00327242i | ||||
\(188\) | −201.988 | −1.07441 | ||||||||
\(189\) | −112.563 | + | 237.352i | −0.595569 | + | 1.25583i | ||||
\(190\) | −7.25413 | + | 2.05051i | −0.0381796 | + | 0.0107921i | ||||
\(191\) | 50.4943 | − | 29.1529i | 0.264368 | − | 0.152633i | −0.361957 | − | 0.932195i | \(-0.617891\pi\) |
0.626326 | + | 0.779562i | \(0.284558\pi\) | |||||||
\(192\) | 195.086 | − | 39.8417i | 1.01607 | − | 0.207509i | ||||
\(193\) | 109.611 | + | 63.2837i | 0.567930 | + | 0.327895i | 0.756322 | − | 0.654199i | \(-0.226994\pi\) |
−0.188392 | + | 0.982094i | \(0.560328\pi\) | |||||||
\(194\) | −56.5764 | − | 32.6644i | −0.291631 | − | 0.168373i | ||||
\(195\) | −151.849 | + | 236.769i | −0.778712 | + | 1.21420i | ||||
\(196\) | 93.0258 | + | 161.125i | 0.474621 | + | 0.822068i | ||||
\(197\) | 335.557 | 1.70333 | 0.851667 | − | 0.524083i | \(-0.175592\pi\) | ||||
0.851667 | + | 0.524083i | \(0.175592\pi\) | |||||||
\(198\) | 10.8753 | + | 1.31892i | 0.0549258 | + | 0.00666121i | ||||
\(199\) | −127.161 | −0.638998 | −0.319499 | − | 0.947587i | \(-0.603515\pi\) | ||||
−0.319499 | + | 0.947587i | \(0.603515\pi\) | |||||||
\(200\) | 4.67333 | + | 2.53027i | 0.0233667 | + | 0.0126513i | ||||
\(201\) | −92.6097 | − | 30.9103i | −0.460745 | − | 0.153782i | ||||
\(202\) | −141.324 | − | 81.5937i | −0.699626 | − | 0.403929i | ||||
\(203\) | −118.317 | + | 204.931i | −0.582841 | + | 1.00951i | ||||
\(204\) | 11.0580 | − | 33.1307i | 0.0542059 | − | 0.162405i | ||||
\(205\) | 133.349 | − | 137.049i | 0.650484 | − | 0.668530i | ||||
\(206\) | − | 244.920i | − | 1.18893i | ||||||
\(207\) | 23.5918 | − | 194.529i | 0.113970 | − | 0.939753i | ||||
\(208\) | − | 294.314i | − | 1.41497i | ||||||
\(209\) | 0.196823 | − | 0.113636i | 0.000941736 | − | 0.000543712i | ||||
\(210\) | 223.879 | − | 349.081i | 1.06609 | − | 1.66229i | ||||
\(211\) | −48.8580 | + | 84.6246i | −0.231555 | + | 0.401064i | −0.958266 | − | 0.285879i | \(-0.907715\pi\) |
0.726711 | + | 0.686943i | \(0.241048\pi\) | |||||||
\(212\) | 90.8428 | − | 157.344i | 0.428504 | − | 0.742191i | ||||
\(213\) | −53.9596 | − | 264.215i | −0.253332 | − | 1.24045i | ||||
\(214\) | −137.949 | − | 238.935i | −0.644623 | − | 1.11652i | ||||
\(215\) | 78.5646 | + | 277.940i | 0.365417 | + | 1.29275i | ||||
\(216\) | 4.72281 | − | 3.26142i | 0.0218649 | − | 0.0150992i | ||||
\(217\) | − | 123.204i | − | 0.567762i | ||||||
\(218\) | 233.716 | + | 404.809i | 1.07209 | + | 1.85692i | ||||
\(219\) | −86.6381 | − | 424.226i | −0.395608 | − | 1.93711i | ||||
\(220\) | −8.46005 | − | 2.14326i | −0.0384548 | − | 0.00974208i | ||||
\(221\) | −46.3995 | − | 26.7888i | −0.209953 | − | 0.121216i | ||||
\(222\) | −93.0763 | + | 82.4704i | −0.419263 | + | 0.371488i | ||||
\(223\) | 80.9094 | − | 46.7130i | 0.362822 | − | 0.209476i | −0.307496 | − | 0.951549i | \(-0.599491\pi\) |
0.670318 | + | 0.742074i | \(0.266158\pi\) | |||||||
\(224\) | 442.196i | 1.97409i | ||||||||
\(225\) | −224.021 | − | 20.9677i | −0.995648 | − | 0.0931898i | ||||
\(226\) | −121.635 | −0.538207 | ||||||||
\(227\) | 98.9949 | + | 171.464i | 0.436101 | + | 0.755349i | 0.997385 | − | 0.0722743i | \(-0.0230257\pi\) |
−0.561284 | + | 0.827623i | \(0.689692\pi\) | |||||||
\(228\) | 2.05343 | − | 6.15225i | 0.00900629 | − | 0.0269836i | ||||
\(229\) | −90.6197 | + | 156.958i | −0.395719 | + | 0.685406i | −0.993193 | − | 0.116483i | \(-0.962838\pi\) |
0.597473 | + | 0.801889i | \(0.296171\pi\) | |||||||
\(230\) | −75.9700 | + | 299.875i | −0.330304 | + | 1.30381i | ||||
\(231\) | −3.95837 | + | 11.8596i | −0.0171358 | + | 0.0513403i | ||||
\(232\) | 4.47750 | − | 2.58509i | 0.0192996 | − | 0.0111426i | ||||
\(233\) | −178.525 | −0.766202 | −0.383101 | − | 0.923706i | \(-0.625144\pi\) | ||||
−0.383101 | + | 0.923706i | \(0.625144\pi\) | |||||||
\(234\) | −188.040 | − | 441.170i | −0.803588 | − | 1.88534i | ||||
\(235\) | −238.505 | + | 67.4175i | −1.01491 | + | 0.286883i | ||||
\(236\) | 222.618 | − | 128.529i | 0.943298 | − | 0.544613i | ||||
\(237\) | 99.9698 | + | 112.826i | 0.421814 | + | 0.476060i | ||||
\(238\) | 68.4093 | + | 39.4961i | 0.287434 | + | 0.165950i | ||||
\(239\) | 13.2157 | + | 7.63006i | 0.0552956 | + | 0.0319250i | 0.527393 | − | 0.849621i | \(-0.323170\pi\) |
−0.472097 | + | 0.881546i | \(0.656503\pi\) | |||||||
\(240\) | 209.155 | − | 108.075i | 0.871480 | − | 0.450314i | ||||
\(241\) | 159.583 | + | 276.406i | 0.662170 | + | 1.14691i | 0.980044 | + | 0.198779i | \(0.0636976\pi\) |
−0.317874 | + | 0.948133i | \(0.602969\pi\) | |||||||
\(242\) | −343.315 | −1.41866 | ||||||||
\(243\) | −129.802 | + | 205.428i | −0.534163 | + | 0.845382i | ||||
\(244\) | −90.3163 | −0.370149 | ||||||||
\(245\) | 163.622 | + | 159.205i | 0.667846 | + | 0.649818i | ||||
\(246\) | 65.2356 | + | 319.428i | 0.265185 | + | 1.29849i | ||||
\(247\) | −8.61623 | − | 4.97458i | −0.0348835 | − | 0.0201400i | ||||
\(248\) | −1.34594 | + | 2.33123i | −0.00542717 | + | 0.00940014i | ||||
\(249\) | 152.221 | + | 171.797i | 0.611330 | + | 0.689950i | ||||
\(250\) | 346.583 | + | 77.7780i | 1.38633 | + | 0.311112i | ||||
\(251\) | − | 95.3404i | − | 0.379842i | −0.981799 | − | 0.189921i | \(-0.939177\pi\) | ||
0.981799 | − | 0.189921i | \(-0.0608232\pi\) | |||||||
\(252\) | 139.903 | + | 328.233i | 0.555169 | + | 1.30251i | ||||
\(253\) | − | 9.32644i | − | 0.0368634i | ||||||
\(254\) | 193.729 | − | 111.850i | 0.762713 | − | 0.440352i | ||||
\(255\) | 1.99913 | − | 42.8110i | 0.00783971 | − | 0.167886i | ||||
\(256\) | −123.079 | + | 213.179i | −0.480777 | + | 0.832730i | ||||
\(257\) | 3.96637 | − | 6.86996i | 0.0154334 | − | 0.0267313i | −0.858206 | − | 0.513306i | \(-0.828421\pi\) |
0.873639 | + | 0.486575i | \(0.161754\pi\) | |||||||
\(258\) | −467.116 | − | 155.909i | −1.81053 | − | 0.604299i | ||||
\(259\) | −70.9631 | − | 122.912i | −0.273989 | − | 0.474562i | ||||
\(260\) | 103.922 | + | 367.647i | 0.399699 | + | 1.41403i | ||||
\(261\) | −131.475 | + | 175.014i | −0.503735 | + | 0.670550i | ||||
\(262\) | 519.399i | 1.98244i | ||||||||
\(263\) | −205.189 | − | 355.399i | −0.780188 | − | 1.35133i | −0.931832 | − | 0.362890i | \(-0.881790\pi\) |
0.151644 | − | 0.988435i | \(-0.451543\pi\) | |||||||
\(264\) | 0.204459 | − | 0.181161i | 0.000774464 | − | 0.000686214i | ||||
\(265\) | 54.7492 | − | 216.111i | 0.206601 | − | 0.815512i | ||||
\(266\) | 12.7034 | + | 7.33429i | 0.0477570 | + | 0.0275725i | ||||
\(267\) | 17.3836 | + | 85.1193i | 0.0651071 | + | 0.318799i | ||||
\(268\) | −114.844 | + | 66.3052i | −0.428522 | + | 0.247408i | ||||
\(269\) | − | 201.081i | − | 0.747513i | −0.927527 | − | 0.373757i | \(-0.878070\pi\) | ||
0.927527 | − | 0.373757i | \(-0.121930\pi\) | |||||||
\(270\) | 244.468 | − | 295.633i | 0.905438 | − | 1.09494i | ||||
\(271\) | 121.070 | 0.446751 | 0.223376 | − | 0.974732i | \(-0.428292\pi\) | ||||
0.223376 | + | 0.974732i | \(0.428292\pi\) | |||||||
\(272\) | 22.4220 | + | 38.8360i | 0.0824337 | + | 0.142779i | ||||
\(273\) | 536.259 | − | 109.518i | 1.96432 | − | 0.401165i | ||||
\(274\) | 7.90527 | − | 13.6923i | 0.0288514 | − | 0.0499720i | ||||
\(275\) | −10.7049 | + | 0.292978i | −0.0389268 | + | 0.00106537i | ||||
\(276\) | −176.510 | − | 199.210i | −0.639529 | − | 0.721775i | ||||
\(277\) | −290.125 | + | 167.504i | −1.04738 | + | 0.604707i | −0.921916 | − | 0.387391i | \(-0.873376\pi\) |
−0.125468 | + | 0.992098i | \(0.540043\pi\) | |||||||
\(278\) | 482.849 | 1.73687 | ||||||||
\(279\) | 13.7213 | − | 113.140i | 0.0491802 | − | 0.405521i | ||||
\(280\) | −2.81284 | − | 9.95105i | −0.0100458 | − | 0.0355395i | ||||
\(281\) | 120.265 | − | 69.4349i | 0.427989 | − | 0.247099i | −0.270501 | − | 0.962720i | \(-0.587189\pi\) |
0.698489 | + | 0.715620i | \(0.253856\pi\) | |||||||
\(282\) | 133.788 | − | 400.840i | 0.474426 | − | 1.42142i | ||||
\(283\) | −83.8352 | − | 48.4023i | −0.296237 | − | 0.171033i | 0.344514 | − | 0.938781i | \(-0.388044\pi\) |
−0.640751 | + | 0.767748i | \(0.721377\pi\) | |||||||
\(284\) | −317.210 | − | 183.141i | −1.11694 | − | 0.644864i | ||||
\(285\) | 0.371231 | − | 7.94986i | 0.00130256 | − | 0.0278943i | ||||
\(286\) | −11.4126 | − | 19.7672i | −0.0399042 | − | 0.0691162i | ||||
\(287\) | −372.083 | −1.29646 | ||||||||
\(288\) | −49.2473 | + | 406.075i | −0.170998 | + | 1.40998i | ||||
\(289\) | −280.837 | −0.971753 | ||||||||
\(290\) | 240.986 | − | 247.672i | 0.830988 | − | 0.854042i | ||||
\(291\) | 51.6214 | − | 45.7392i | 0.177393 | − | 0.157179i | ||||
\(292\) | −509.316 | − | 294.054i | −1.74423 | − | 1.00703i | ||||
\(293\) | 192.539 | − | 333.488i | 0.657131 | − | 1.13818i | −0.324224 | − | 0.945980i | \(-0.605103\pi\) |
0.981355 | − | 0.192204i | \(-0.0615635\pi\) | |||||||
\(294\) | −381.365 | + | 77.8846i | −1.29716 | + | 0.264914i | ||||
\(295\) | 219.966 | − | 226.068i | 0.745646 | − | 0.766333i | ||||
\(296\) | 3.10093i | 0.0104761i | ||||||||
\(297\) | −4.95583 | + | 10.4500i | −0.0166863 | + | 0.0351852i | ||||
\(298\) | − | 229.417i | − | 0.769854i | ||||||
\(299\) | −353.580 | + | 204.140i | −1.18254 | + | 0.682742i | ||||
\(300\) | −223.108 | + | 208.856i | −0.743693 | + | 0.696186i | ||||
\(301\) | 281.012 | − | 486.726i | 0.933593 | − | 1.61703i | ||||
\(302\) | 125.421 | − | 217.236i | 0.415302 | − | 0.719324i | ||||
\(303\) | 128.947 | − | 114.254i | 0.425569 | − | 0.377075i | ||||
\(304\) | 4.16368 | + | 7.21171i | 0.0136963 | + | 0.0237227i | ||||
\(305\) | −106.644 | + | 30.1448i | −0.349653 | + | 0.0988354i | ||||
\(306\) | 58.4225 | + | 43.8886i | 0.190923 | + | 0.143427i | ||||
\(307\) | 207.311i | 0.675281i | 0.941275 | + | 0.337641i | \(0.109629\pi\) | ||||
−0.941275 | + | 0.337641i | \(0.890371\pi\) | |||||||
\(308\) | 8.49105 | + | 14.7069i | 0.0275684 | + | 0.0477498i | ||||
\(309\) | 245.270 | + | 81.8636i | 0.793754 | + | 0.264931i | ||||
\(310\) | −44.1851 | + | 174.411i | −0.142532 | + | 0.562616i | ||||
\(311\) | 140.437 | + | 81.0816i | 0.451567 | + | 0.260712i | 0.708492 | − | 0.705719i | \(-0.249376\pi\) |
−0.256925 | + | 0.966431i | \(0.582709\pi\) | |||||||
\(312\) | −11.3433 | − | 3.78606i | −0.0363569 | − | 0.0121348i | ||||
\(313\) | −196.427 | + | 113.407i | −0.627561 | + | 0.362322i | −0.779807 | − | 0.626020i | \(-0.784683\pi\) |
0.152246 | + | 0.988343i | \(0.451349\pi\) | |||||||
\(314\) | − | 178.302i | − | 0.567840i | ||||||
\(315\) | 274.749 | + | 340.877i | 0.872219 | + | 1.08215i | ||||
\(316\) | 204.751 | 0.647946 | ||||||||
\(317\) | −244.388 | − | 423.293i | −0.770941 | − | 1.33531i | −0.937048 | − | 0.349200i | \(-0.886453\pi\) |
0.166108 | − | 0.986108i | \(-0.446880\pi\) | |||||||
\(318\) | 252.075 | + | 284.493i | 0.792689 | + | 0.894632i | ||||
\(319\) | −5.20917 | + | 9.02255i | −0.0163297 | + | 0.0282839i | ||||
\(320\) | 81.4971 | − | 321.692i | 0.254679 | − | 1.00529i | ||||
\(321\) | 285.385 | − | 58.2831i | 0.889050 | − | 0.181567i | ||||
\(322\) | 521.302 | − | 300.974i | 1.61895 | − | 0.934702i | ||||
\(323\) | 1.51593 | 0.00469328 | ||||||||
\(324\) | 91.9192 | + | 317.002i | 0.283701 | + | 0.978400i | ||||
\(325\) | 245.418 | + | 399.426i | 0.755134 | + | 1.22900i | ||||
\(326\) | −594.157 | + | 343.036i | −1.82257 | + | 1.05226i | ||||
\(327\) | −483.505 | + | 98.7444i | −1.47861 | + | 0.301971i | ||||
\(328\) | 7.04044 | + | 4.06480i | 0.0214647 | + | 0.0123927i | ||||
\(329\) | 417.667 | + | 241.140i | 1.26951 | + | 0.732950i | ||||
\(330\) | 9.85680 | − | 15.3691i | 0.0298691 | − | 0.0465731i | ||||
\(331\) | −118.823 | − | 205.808i | −0.358982 | − | 0.621775i | 0.628809 | − | 0.777560i | \(-0.283543\pi\) |
−0.987791 | + | 0.155785i | \(0.950209\pi\) | |||||||
\(332\) | 311.768 | 0.939061 | ||||||||
\(333\) | −51.4777 | − | 120.775i | −0.154588 | − | 0.362687i | ||||
\(334\) | 378.431 | 1.13303 | ||||||||
\(335\) | −113.475 | + | 116.624i | −0.338733 | + | 0.348130i | ||||
\(336\) | −434.543 | − | 145.037i | −1.29328 | − | 0.431658i | ||||
\(337\) | 244.250 | + | 141.018i | 0.724777 | + | 0.418450i | 0.816508 | − | 0.577334i | \(-0.195907\pi\) |
−0.0917314 | + | 0.995784i | \(0.529240\pi\) | |||||||
\(338\) | −259.488 | + | 449.447i | −0.767717 | + | 1.32973i | ||||
\(339\) | 40.6559 | − | 121.808i | 0.119929 | − | 0.359317i | ||||
\(340\) | −41.7216 | − | 40.5953i | −0.122710 | − | 0.119398i | ||||
\(341\) | − | 5.42437i | − | 0.0159072i | ||||||
\(342\) | 10.8489 | + | 8.14996i | 0.0317218 | + | 0.0238303i | ||||
\(343\) | 32.5057i | 0.0947688i | ||||||||
\(344\) | −10.6344 | + | 6.13979i | −0.0309140 | + | 0.0178482i | ||||
\(345\) | −274.911 | − | 176.311i | −0.796843 | − | 0.511045i | ||||
\(346\) | −95.2543 | + | 164.985i | −0.275302 | + | 0.476836i | ||||
\(347\) | −219.985 | + | 381.026i | −0.633963 | + | 1.09806i | 0.352771 | + | 0.935710i | \(0.385240\pi\) |
−0.986734 | + | 0.162347i | \(0.948094\pi\) | |||||||
\(348\) | 59.4924 | + | 291.307i | 0.170955 | + | 0.837088i | ||||
\(349\) | 48.6291 | + | 84.2280i | 0.139338 | + | 0.241341i | 0.927246 | − | 0.374452i | \(-0.122169\pi\) |
−0.787908 | + | 0.615793i | \(0.788836\pi\) | |||||||
\(350\) | −361.833 | − | 588.895i | −1.03381 | − | 1.68256i | ||||
\(351\) | 504.651 | − | 40.8489i | 1.43775 | − | 0.116379i | ||||
\(352\) | 19.4687i | 0.0553089i | ||||||||
\(353\) | −49.0978 | − | 85.0399i | −0.139087 | − | 0.240906i | 0.788064 | − | 0.615593i | \(-0.211084\pi\) |
−0.927151 | + | 0.374687i | \(0.877750\pi\) | |||||||
\(354\) | 107.609 | + | 526.911i | 0.303980 | + | 1.48845i | ||||
\(355\) | −435.684 | − | 110.376i | −1.22728 | − | 0.310917i | ||||
\(356\) | 102.192 | + | 59.0007i | 0.287057 | + | 0.165732i | ||||
\(357\) | −62.4180 | + | 55.3055i | −0.174840 | + | 0.154917i | ||||
\(358\) | −93.4195 | + | 53.9358i | −0.260948 | + | 0.150659i | ||||
\(359\) | − | 500.068i | − | 1.39295i | −0.717582 | − | 0.696474i | \(-0.754751\pi\) | ||
0.717582 | − | 0.696474i | \(-0.245249\pi\) | |||||||
\(360\) | −1.47482 | − | 9.45145i | −0.00409672 | − | 0.0262540i | ||||
\(361\) | −360.718 | −0.999220 | ||||||||
\(362\) | 395.003 | + | 684.165i | 1.09117 | + | 1.88996i | ||||
\(363\) | 114.752 | − | 343.805i | 0.316120 | − | 0.947121i | ||||
\(364\) | 371.709 | − | 643.819i | 1.02118 | − | 1.76873i | ||||
\(365\) | −699.539 | − | 177.220i | −1.91654 | − | 0.485535i | ||||
\(366\) | 59.8215 | − | 179.230i | 0.163447 | − | 0.489699i | ||||
\(367\) | 296.023 | − | 170.909i | 0.806603 | − | 0.465692i | −0.0391718 | − | 0.999232i | \(-0.512472\pi\) |
0.845775 | + | 0.533540i | \(0.179139\pi\) | |||||||
\(368\) | 341.726 | 0.928604 | ||||||||
\(369\) | −341.689 | − | 41.4388i | −0.925987 | − | 0.112300i | ||||
\(370\) | 56.3769 | + | 199.446i | 0.152370 | + | 0.539044i | ||||
\(371\) | −375.686 | + | 216.902i | −1.01263 | + | 0.584643i | ||||
\(372\) | −102.660 | − | 115.863i | −0.275969 | − | 0.311459i | ||||
\(373\) | 529.179 | + | 305.522i | 1.41871 | + | 0.819093i | 0.996186 | − | 0.0872584i | \(-0.0278106\pi\) |
0.422525 | + | 0.906351i | \(0.361144\pi\) | |||||||
\(374\) | 3.01188 | + | 1.73891i | 0.00805316 | + | 0.00464949i | ||||
\(375\) | −193.733 | + | 321.080i | −0.516621 | + | 0.856214i | ||||
\(376\) | −5.26865 | − | 9.12556i | −0.0140124 | − | 0.0242701i | ||||
\(377\) | 456.080 | 1.20976 | ||||||||
\(378\) | −744.034 | + | 60.2257i | −1.96834 | + | 0.159327i | ||||
\(379\) | 187.436 | 0.494555 | 0.247277 | − | 0.968945i | \(-0.420464\pi\) | ||||
0.247277 | + | 0.968945i | \(0.420464\pi\) | |||||||
\(380\) | −7.74755 | − | 7.53841i | −0.0203883 | − | 0.0198379i | ||||
\(381\) | 47.2561 | + | 231.391i | 0.124032 | + | 0.607325i | ||||
\(382\) | 143.486 | + | 82.8415i | 0.375617 | + | 0.216863i | ||||
\(383\) | −73.9088 | + | 128.014i | −0.192973 | + | 0.334240i | −0.946234 | − | 0.323482i | \(-0.895146\pi\) |
0.753261 | + | 0.657722i | \(0.228480\pi\) | |||||||
\(384\) | 13.5311 | + | 15.2713i | 0.0352373 | + | 0.0397690i | ||||
\(385\) | 14.9348 | + | 14.5317i | 0.0387918 | + | 0.0377446i | ||||
\(386\) | 359.656i | 0.931752i | ||||||||
\(387\) | 312.263 | − | 415.671i | 0.806882 | − | 1.07409i | ||||
\(388\) | − | 93.6797i | − | 0.241442i | ||||||
\(389\) | −397.890 | + | 229.722i | −1.02285 | + | 0.590545i | −0.914929 | − | 0.403615i | \(-0.867754\pi\) |
−0.107924 | + | 0.994159i | \(0.534420\pi\) | |||||||
\(390\) | −798.417 | − | 37.2833i | −2.04722 | − | 0.0955982i | ||||
\(391\) | 31.1042 | − | 53.8741i | 0.0795505 | − | 0.137786i | ||||
\(392\) | −4.85295 | + | 8.40556i | −0.0123800 | + | 0.0214428i | ||||
\(393\) | −520.141 | − | 173.607i | −1.32351 | − | 0.441748i | ||||
\(394\) | 476.763 | + | 825.777i | 1.21006 | + | 2.09588i | ||||
\(395\) | 241.767 | − | 68.3396i | 0.612068 | − | 0.173012i | ||||
\(396\) | 6.15954 | + | 14.4512i | 0.0155544 | + | 0.0364930i | ||||
\(397\) | − | 718.905i | − | 1.81084i | −0.424512 | − | 0.905422i | \(-0.639554\pi\) | ||
0.424512 | − | 0.905422i | \(-0.360446\pi\) | |||||||
\(398\) | −180.671 | − | 312.932i | −0.453948 | − | 0.786260i | ||||
\(399\) | −11.5908 | + | 10.2700i | −0.0290497 | + | 0.0257395i | ||||
\(400\) | −10.7349 | − | 392.232i | −0.0268372 | − | 0.980581i | ||||
\(401\) | −65.5957 | − | 37.8717i | −0.163580 | − | 0.0944431i | 0.415975 | − | 0.909376i | \(-0.363440\pi\) |
−0.579555 | + | 0.814933i | \(0.696774\pi\) | |||||||
\(402\) | −55.5132 | − | 271.822i | −0.138093 | − | 0.676175i | ||||
\(403\) | −205.647 | + | 118.730i | −0.510289 | + | 0.294616i | ||||
\(404\) | − | 234.006i | − | 0.579223i | ||||||
\(405\) | 214.342 | + | 343.631i | 0.529240 | + | 0.848472i | ||||
\(406\) | −672.422 | −1.65621 | ||||||||
\(407\) | −3.12432 | − | 5.41148i | −0.00767646 | − | 0.0132960i | ||||
\(408\) | 1.78524 | − | 0.364592i | 0.00437558 | − | 0.000893607i | ||||
\(409\) | −255.035 | + | 441.733i | −0.623556 | + | 1.08003i | 0.365262 | + | 0.930905i | \(0.380979\pi\) |
−0.988818 | + | 0.149126i | \(0.952354\pi\) | |||||||
\(410\) | 526.729 | + | 133.441i | 1.28471 | + | 0.325466i | ||||
\(411\) | 11.0696 | + | 12.4932i | 0.0269333 | + | 0.0303970i | ||||
\(412\) | 304.156 | − | 175.604i | 0.738242 | − | 0.426224i | ||||
\(413\) | −613.768 | −1.48612 | ||||||||
\(414\) | 512.239 | − | 218.331i | 1.23729 | − | 0.527370i | ||||
\(415\) | 368.132 | − | 104.059i | 0.887064 | − | 0.250744i | ||||
\(416\) | 738.092 | − | 426.137i | 1.77426 | − | 1.02437i | ||||
\(417\) | −161.390 | + | 483.538i | −0.387027 | + | 1.15956i | ||||
\(418\) | 0.559296 | + | 0.322910i | 0.00133803 | + | 0.000772511i | ||||
\(419\) | 603.768 | + | 348.586i | 1.44097 | + | 0.831947i | 0.997915 | − | 0.0645450i | \(-0.0205596\pi\) |
0.443060 | + | 0.896492i | \(0.353893\pi\) | |||||||
\(420\) | 594.027 | + | 27.7390i | 1.41435 | + | 0.0660452i | ||||
\(421\) | −378.410 | − | 655.425i | −0.898836 | − | 1.55683i | −0.828984 | − | 0.559272i | \(-0.811081\pi\) |
−0.0698516 | − | 0.997557i | \(-0.522253\pi\) | |||||||
\(422\) | −277.672 | −0.657990 | ||||||||
\(423\) | 356.694 | + | 267.958i | 0.843248 | + | 0.633471i | ||||
\(424\) | 9.47815 | 0.0223541 | ||||||||
\(425\) | −62.8137 | − | 34.0090i | −0.147797 | − | 0.0800211i | ||||
\(426\) | 573.545 | − | 508.190i | 1.34635 | − | 1.19293i | ||||
\(427\) | 186.754 | + | 107.823i | 0.437364 | + | 0.252512i | ||||
\(428\) | 197.815 | − | 342.626i | 0.462186 | − | 0.800529i | ||||
\(429\) | 23.6101 | − | 4.82179i | 0.0550351 | − | 0.0112396i | ||||
\(430\) | −572.362 | + | 588.241i | −1.33107 | + | 1.36800i | ||||
\(431\) | 497.875i | 1.15516i | 0.816333 | + | 0.577581i | \(0.196003\pi\) | ||||
−0.816333 | + | 0.577581i | \(0.803997\pi\) | |||||||
\(432\) | −382.894 | − | 181.585i | −0.886329 | − | 0.420335i | ||||
\(433\) | − | 421.645i | − | 0.973775i | −0.873465 | − | 0.486888i | \(-0.838132\pi\) | ||
0.873465 | − | 0.486888i | \(-0.161868\pi\) | |||||||
\(434\) | 303.196 | − | 175.050i | 0.698608 | − | 0.403341i | ||||
\(435\) | 167.477 | + | 324.114i | 0.385005 | + | 0.745089i | ||||
\(436\) | −335.143 | + | 580.485i | −0.768677 | + | 1.33139i | ||||
\(437\) | 5.77595 | − | 10.0042i | 0.0132173 | − | 0.0228930i | ||||
\(438\) | 920.889 | − | 815.954i | 2.10249 | − | 1.86291i | ||||
\(439\) | −228.743 | − | 396.195i | −0.521055 | − | 0.902494i | −0.999700 | − | 0.0244857i | \(-0.992205\pi\) |
0.478645 | − | 0.878009i | \(-0.341128\pi\) | |||||||
\(440\) | −0.123842 | − | 0.438118i | −0.000281458 | − | 0.000995724i | ||||
\(441\) | 49.4738 | − | 407.942i | 0.112185 | − | 0.925038i | ||||
\(442\) | − | 152.247i | − | 0.344450i | ||||||
\(443\) | 116.136 | + | 201.153i | 0.262157 | + | 0.454069i | 0.966815 | − | 0.255478i | \(-0.0822328\pi\) |
−0.704658 | + | 0.709547i | \(0.748899\pi\) | |||||||
\(444\) | −169.151 | − | 56.4574i | −0.380970 | − | 0.127156i | ||||
\(445\) | 140.360 | + | 35.5585i | 0.315415 | + | 0.0799068i | ||||
\(446\) | 229.914 | + | 132.741i | 0.515502 | + | 0.297625i | ||||
\(447\) | 229.744 | + | 76.6815i | 0.513969 | + | 0.171547i | ||||
\(448\) | −559.230 | + | 322.871i | −1.24828 | + | 0.720695i | ||||
\(449\) | 678.345i | 1.51079i | 0.655269 | + | 0.755395i | \(0.272555\pi\) | ||||
−0.655269 | + | 0.755395i | \(0.727445\pi\) | |||||||
\(450\) | −266.691 | − | 581.088i | −0.592648 | − | 1.29131i | ||||
\(451\) | −16.3818 | −0.0363234 | ||||||||
\(452\) | −87.2105 | − | 151.053i | −0.192943 | − | 0.334188i | ||||
\(453\) | 175.624 | + | 198.210i | 0.387692 | + | 0.437550i | ||||
\(454\) | −281.306 | + | 487.236i | −0.619617 | + | 1.07321i | ||||
\(455\) | 224.022 | − | 884.278i | 0.492356 | − | 1.94347i | ||||
\(456\) | 0.331512 | − | 0.0677034i | 0.000727000 | − | 0.000148472i | ||||
\(457\) | −637.008 | + | 367.777i | −1.39389 | + | 0.804763i | −0.993743 | − | 0.111688i | \(-0.964374\pi\) |
−0.400147 | + | 0.916451i | \(0.631041\pi\) | |||||||
\(458\) | −515.014 | −1.12448 | ||||||||
\(459\) | −63.4787 | + | 43.8364i | −0.138298 | + | 0.0955040i | ||||
\(460\) | −426.872 | + | 120.663i | −0.927982 | + | 0.262310i | ||||
\(461\) | 344.752 | − | 199.043i | 0.747835 | − | 0.431763i | −0.0770763 | − | 0.997025i | \(-0.524559\pi\) |
0.824911 | + | 0.565263i | \(0.191225\pi\) | |||||||
\(462\) | −34.8096 | + | 7.10903i | −0.0753454 | + | 0.0153875i | ||||
\(463\) | 139.076 | + | 80.2955i | 0.300380 | + | 0.173424i | 0.642613 | − | 0.766191i | \(-0.277850\pi\) |
−0.342234 | + | 0.939615i | \(0.611183\pi\) | |||||||
\(464\) | −330.592 | − | 190.867i | −0.712482 | − | 0.411352i | ||||
\(465\) | −159.891 | − | 102.544i | −0.343852 | − | 0.220525i | ||||
\(466\) | −253.650 | − | 439.335i | −0.544314 | − | 0.942780i | ||||
\(467\) | 406.660 | 0.870792 | 0.435396 | − | 0.900239i | \(-0.356608\pi\) | ||||
0.435396 | + | 0.900239i | \(0.356608\pi\) | |||||||
\(468\) | 413.048 | − | 549.831i | 0.882581 | − | 1.17485i | ||||
\(469\) | 316.630 | 0.675117 | ||||||||
\(470\) | −504.779 | − | 491.153i | −1.07400 | − | 1.04501i | ||||
\(471\) | 178.556 | + | 59.5966i | 0.379100 | + | 0.126532i | ||||
\(472\) | 11.6135 | + | 6.70507i | 0.0246049 | + | 0.0142057i | ||||
\(473\) | 12.3722 | − | 21.4293i | 0.0261569 | − | 0.0453050i | ||||
\(474\) | −135.618 | + | 406.322i | −0.286114 | + | 0.857220i | ||||
\(475\) | −11.6643 | − | 6.31535i | −0.0245564 | − | 0.0132955i | ||||
\(476\) | 113.273i | 0.237968i | ||||||||
\(477\) | −369.154 | + | 157.344i | −0.773908 | + | 0.329862i | ||||
\(478\) | 43.3635i | 0.0907186i | ||||||||
\(479\) | 731.450 | − | 422.303i | 1.52704 | − | 0.881635i | 0.527552 | − | 0.849523i | \(-0.323110\pi\) |
0.999484 | − | 0.0321123i | \(-0.0102234\pi\) | |||||||
\(480\) | 573.870 | + | 368.044i | 1.19556 | + | 0.766759i | ||||
\(481\) | −136.772 | + | 236.896i | −0.284349 | + | 0.492507i | ||||
\(482\) | −453.474 | + | 785.440i | −0.940818 | + | 1.62954i | ||||
\(483\) | 127.161 | + | 622.646i | 0.263272 | + | 1.28912i | ||||
\(484\) | −246.152 | − | 426.348i | −0.508579 | − | 0.880884i | ||||
\(485\) | −31.2674 | − | 110.616i | −0.0644689 | − | 0.228073i | ||||
\(486\) | −689.964 | − | 27.5569i | −1.41968 | − | 0.0567014i | ||||
\(487\) | − | 225.518i | − | 0.463075i | −0.972826 | − | 0.231538i | \(-0.925624\pi\) | ||
0.972826 | − | 0.231538i | \(-0.0743757\pi\) | |||||||
\(488\) | −2.35580 | − | 4.08037i | −0.00482746 | − | 0.00836141i | ||||
\(489\) | −144.932 | − | 709.663i | −0.296384 | − | 1.45125i | ||||
\(490\) | −159.315 | + | 628.861i | −0.325132 | + | 1.28339i | ||||
\(491\) | −662.639 | − | 382.575i | −1.34957 | − | 0.779175i | −0.361382 | − | 0.932418i | \(-0.617695\pi\) |
−0.988189 | + | 0.153243i | \(0.951028\pi\) | |||||||
\(492\) | −349.911 | + | 310.039i | −0.711202 | + | 0.630161i | ||||
\(493\) | −60.1815 | + | 34.7458i | −0.122072 | + | 0.0704783i | ||||
\(494\) | − | 28.2718i | − | 0.0572303i | ||||||
\(495\) | 12.0965 | + | 15.0079i | 0.0244373 | + | 0.0303191i | ||||
\(496\) | 198.752 | 0.400710 | ||||||||
\(497\) | 437.281 | + | 757.392i | 0.879841 | + | 1.52393i | ||||
\(498\) | −206.501 | + | 618.695i | −0.414662 | + | 1.24236i | ||||
\(499\) | 102.024 | − | 176.711i | 0.204458 | − | 0.354131i | −0.745502 | − | 0.666503i | \(-0.767790\pi\) |
0.949960 | + | 0.312372i | \(0.101124\pi\) | |||||||
\(500\) | 151.906 | + | 486.172i | 0.303812 | + | 0.972343i | ||||
\(501\) | −126.489 | + | 378.971i | −0.252473 | + | 0.756429i | ||||
\(502\) | 234.625 | − | 135.461i | 0.467380 | − | 0.269842i | ||||
\(503\) | 585.545 | 1.16411 | 0.582053 | − | 0.813151i | \(-0.302250\pi\) | ||||
0.582053 | + | 0.813151i | \(0.302250\pi\) | |||||||
\(504\) | −11.1799 | + | 14.8822i | −0.0221824 | + | 0.0295282i | ||||
\(505\) | −78.1041 | − | 276.311i | −0.154662 | − | 0.547151i | ||||
\(506\) | 22.9516 | − | 13.2511i | 0.0453588 | − | 0.0261879i | ||||
\(507\) | −363.356 | − | 410.085i | −0.716678 | − | 0.808846i | ||||
\(508\) | 277.802 | + | 160.389i | 0.546855 | + | 0.315727i | ||||
\(509\) | 10.3361 | + | 5.96756i | 0.0203067 | + | 0.0117241i | 0.510119 | − | 0.860104i | \(-0.329601\pi\) |
−0.489812 | + | 0.871828i | \(0.662935\pi\) | |||||||
\(510\) | 108.195 | − | 55.9067i | 0.212147 | − | 0.109621i | ||||
\(511\) | 702.102 | + | 1216.08i | 1.37398 | + | 2.37980i | ||||
\(512\) | −726.692 | −1.41932 | ||||||||
\(513\) | −11.7878 | + | 8.14026i | −0.0229781 | + | 0.0158680i | ||||
\(514\) | 22.5418 | 0.0438557 | ||||||||
\(515\) | 300.531 | − | 308.869i | 0.583556 | − | 0.599746i | ||||
\(516\) | −141.299 | − | 691.877i | −0.273836 | − | 1.34085i | ||||
\(517\) | 18.3888 | + | 10.6168i | 0.0355683 | + | 0.0205354i | ||||
\(518\) | 201.650 | − | 349.268i | 0.389286 | − | 0.674263i | ||||
\(519\) | −133.383 | − | 150.536i | −0.256999 | − | 0.290050i | ||||
\(520\) | −13.8991 | + | 14.2847i | −0.0267290 | + | 0.0274706i | ||||
\(521\) | 541.869i | 1.04006i | 0.854149 | + | 0.520028i | \(0.174078\pi\) | ||||
−0.854149 | + | 0.520028i | \(0.825922\pi\) | |||||||
\(522\) | −617.495 | − | 74.8876i | −1.18294 | − | 0.143463i | ||||
\(523\) | 356.100i | 0.680880i | 0.940266 | + | 0.340440i | \(0.110576\pi\) | ||||
−0.940266 | + | 0.340440i | \(0.889424\pi\) | |||||||
\(524\) | −645.020 | + | 372.402i | −1.23095 | + | 0.710692i | ||||
\(525\) | 710.677 | − | 165.514i | 1.35367 | − | 0.315265i | ||||
\(526\) | 583.071 | − | 1009.91i | 1.10850 | − | 1.91998i | ||||
\(527\) | 18.0906 | − | 31.3338i | 0.0343275 | − | 0.0594570i | ||||
\(528\) | −19.1318 | − | 6.38560i | −0.0362344 | − | 0.0120939i | ||||
\(529\) | 27.4749 | + | 47.5879i | 0.0519374 | + | 0.0899582i | ||||
\(530\) | 609.618 | − | 172.319i | 1.15022 | − | 0.325130i | ||||
\(531\) | −563.632 | − | 68.3553i | −1.06145 | − | 0.128729i | ||||
\(532\) | 21.0344i | 0.0395383i | ||||||||
\(533\) | 358.571 | + | 621.062i | 0.672740 | + | 1.16522i | ||||
\(534\) | −184.773 | + | 163.718i | −0.346016 | + | 0.306588i | ||||
\(535\) | 119.219 | − | 470.593i | 0.222840 | − | 0.879613i | ||||
\(536\) | −5.99116 | − | 3.45900i | −0.0111775 | − | 0.00645336i | ||||
\(537\) | −22.7877 | − | 111.581i | −0.0424352 | − | 0.207785i | ||||
\(538\) | 494.843 | − | 285.698i | 0.919783 | − | 0.531037i | ||||
\(539\) | − | 19.5582i | − | 0.0362862i | ||||||
\(540\) | 542.414 | + | 91.6298i | 1.00447 | + | 0.169685i | ||||
\(541\) | 378.892 | 0.700355 | 0.350178 | − | 0.936683i | \(-0.386121\pi\) | ||||
0.350178 | + | 0.936683i | \(0.386121\pi\) | |||||||
\(542\) | 172.017 | + | 297.942i | 0.317375 | + | 0.549709i | ||||
\(543\) | −817.170 | + | 166.887i | −1.50492 | + | 0.307343i | ||||
\(544\) | −64.9294 | + | 112.461i | −0.119356 | + | 0.206730i | ||||
\(545\) | −201.984 | + | 797.289i | −0.370613 | + | 1.46291i | ||||
\(546\) | 1031.44 | + | 1164.08i | 1.88908 | + | 2.13202i | ||||
\(547\) | 484.407 | − | 279.673i | 0.885571 | − | 0.511285i | 0.0130799 | − | 0.999914i | \(-0.495836\pi\) |
0.872491 | + | 0.488630i | \(0.162503\pi\) | |||||||
\(548\) | 22.6719 | 0.0413721 | ||||||||
\(549\) | 159.491 | + | 119.814i | 0.290511 | + | 0.218240i | ||||
\(550\) | −15.9306 | − | 25.9275i | −0.0289647 | − | 0.0471409i | ||||
\(551\) | −11.1755 | + | 6.45218i | −0.0202822 | + | 0.0117099i | ||||
\(552\) | 4.39596 | − | 13.1707i | 0.00796370 | − | 0.0238599i | ||||
\(553\) | −423.380 | − | 244.439i | −0.765606 | − | 0.442023i | ||||
\(554\) | −824.426 | − | 475.982i | −1.48813 | − | 0.859174i | ||||
\(555\) | −218.575 | − | 10.2067i | −0.393828 | − | 0.0183904i | ||||
\(556\) | 346.196 | + | 599.629i | 0.622655 | + | 1.07847i | ||||
\(557\) | −471.971 | −0.847345 | −0.423673 | − | 0.905815i | \(-0.639259\pi\) | ||||
−0.423673 | + | 0.905815i | \(0.639259\pi\) | |||||||
\(558\) | 297.924 | − | 126.984i | 0.533914 | − | 0.227570i | ||||
\(559\) | −1083.23 | −1.93779 | ||||||||
\(560\) | −532.450 | + | 547.221i | −0.950803 | + | 0.977181i | ||||
\(561\) | −2.74810 | + | 2.43496i | −0.00489858 | + | 0.00434039i | ||||
\(562\) | 341.747 | + | 197.308i | 0.608090 | + | 0.351081i | ||||
\(563\) | 247.289 | − | 428.316i | 0.439234 | − | 0.760775i | −0.558397 | − | 0.829574i | \(-0.688583\pi\) |
0.997631 | + | 0.0687990i | \(0.0219167\pi\) | |||||||
\(564\) | 593.710 | − | 121.251i | 1.05268 | − | 0.214984i | ||||
\(565\) | −153.394 | − | 149.253i | −0.271493 | − | 0.264164i | ||||
\(566\) | − | 275.082i | − | 0.486010i | ||||||
\(567\) | 188.379 | − | 765.226i | 0.332237 | − | 1.34961i | ||||
\(568\) | − | 19.1082i | − | 0.0336412i | ||||||
\(569\) | 143.305 | − | 82.7370i | 0.251853 | − | 0.145408i | −0.368759 | − | 0.929525i | \(-0.620217\pi\) |
0.620613 | + | 0.784117i | \(0.286884\pi\) | |||||||
\(570\) | 20.0914 | − | 10.3817i | 0.0352481 | − | 0.0182135i | ||||
\(571\) | −25.5302 | + | 44.2195i | −0.0447113 | + | 0.0774423i | −0.887515 | − | 0.460779i | \(-0.847570\pi\) |
0.842804 | + | 0.538221i | \(0.180903\pi\) | |||||||
\(572\) | 16.3654 | − | 28.3457i | 0.0286108 | − | 0.0495554i | ||||
\(573\) | −130.919 | + | 116.001i | −0.228480 | + | 0.202445i | ||||
\(574\) | −528.660 | − | 915.665i | −0.921010 | − | 1.59524i | ||||
\(575\) | −463.770 | + | 284.953i | −0.806557 | + | 0.495571i | ||||
\(576\) | −549.506 | + | 234.216i | −0.954004 | + | 0.406625i | ||||
\(577\) | − | 707.833i | − | 1.22675i | −0.789793 | − | 0.613373i | \(-0.789812\pi\) | ||
0.789793 | − | 0.613373i | \(-0.210188\pi\) | |||||||
\(578\) | −399.015 | − | 691.115i | −0.690338 | − | 1.19570i | ||||
\(579\) | −360.170 | − | 120.214i | −0.622055 | − | 0.207623i | ||||
\(580\) | 480.357 | + | 121.693i | 0.828203 | + | 0.209816i | ||||
\(581\) | −644.669 | − | 372.200i | −1.10958 | − | 0.640619i | ||||
\(582\) | 185.905 | + | 62.0492i | 0.319424 | + | 0.106614i | ||||
\(583\) | −16.5405 | + | 9.54964i | −0.0283713 | + | 0.0163802i | ||||
\(584\) | − | 30.6803i | − | 0.0525347i | ||||||
\(585\) | 304.204 | − | 787.095i | 0.520007 | − | 1.34546i | ||||
\(586\) | 1094.25 | 1.86732 | ||||||||
\(587\) | −226.251 | − | 391.878i | −0.385436 | − | 0.667594i | 0.606394 | − | 0.795164i | \(-0.292615\pi\) |
−0.991830 | + | 0.127570i | \(0.959282\pi\) | |||||||
\(588\) | −370.155 | − | 417.758i | −0.629515 | − | 0.710473i | ||||
\(589\) | 3.35936 | − | 5.81859i | 0.00570350 | − | 0.00987875i | ||||
\(590\) | 868.864 | + | 220.117i | 1.47265 | + | 0.373079i | ||||
\(591\) | −986.312 | + | 201.431i | −1.66889 | + | 0.340830i | ||||
\(592\) | 198.280 | − | 114.477i | 0.334932 | − | 0.193373i | ||||
\(593\) | −227.811 | −0.384168 | −0.192084 | − | 0.981379i | \(-0.561525\pi\) | ||||
−0.192084 | + | 0.981379i | \(0.561525\pi\) | |||||||
\(594\) | −32.7578 | + | 2.65158i | −0.0551479 | + | 0.00446394i | ||||
\(595\) | 37.8070 | + | 133.751i | 0.0635411 | + | 0.224791i | ||||
\(596\) | 284.903 | − | 164.489i | 0.478024 | − | 0.275988i | ||||
\(597\) | 373.767 | − | 76.3330i | 0.626075 | − | 0.127861i | ||||
\(598\) | −1004.74 | − | 580.088i | −1.68017 | − | 0.970047i | ||||
\(599\) | −484.611 | − | 279.790i | −0.809033 | − | 0.467096i | 0.0375869 | − | 0.999293i | \(-0.488033\pi\) |
−0.846620 | + | 0.532198i | \(0.821366\pi\) | |||||||
\(600\) | −15.2553 | − | 4.63194i | −0.0254256 | − | 0.00771990i | ||||
\(601\) | −335.271 | − | 580.707i | −0.557856 | − | 0.966235i | −0.997675 | − | 0.0681485i | \(-0.978291\pi\) |
0.439819 | − | 0.898086i | \(-0.355043\pi\) | |||||||
\(602\) | 1597.06 | 2.65292 | ||||||||
\(603\) | 290.765 | + | 35.2630i | 0.482198 | + | 0.0584793i | ||||
\(604\) | 359.701 | 0.595532 | ||||||||
\(605\) | −432.955 | − | 421.267i | −0.715627 | − | 0.696310i | ||||
\(606\) | 464.379 | + | 154.995i | 0.766301 | + | 0.255768i | ||||
\(607\) | 864.308 | + | 499.009i | 1.42390 | + | 0.822090i | 0.996630 | − | 0.0820329i | \(-0.0261413\pi\) |
0.427272 | + | 0.904123i | \(0.359475\pi\) | |||||||
\(608\) | −12.0572 | + | 20.8836i | −0.0198309 | + | 0.0343481i | ||||
\(609\) | 224.754 | − | 673.382i | 0.369055 | − | 1.10572i | ||||
\(610\) | −225.705 | − | 219.612i | −0.370008 | − | 0.360020i | ||||
\(611\) | − | 929.533i | − | 1.52133i | ||||||
\(612\) | −12.6152 | + | 104.020i | −0.0206130 | + | 0.169967i | ||||
\(613\) | 229.314i | 0.374086i | 0.982352 | + | 0.187043i | \(0.0598903\pi\) | ||||
−0.982352 | + | 0.187043i | \(0.940110\pi\) | |||||||
\(614\) | −510.176 | + | 294.550i | −0.830905 | + | 0.479723i | ||||
\(615\) | −309.689 | + | 482.879i | −0.503559 | + | 0.785170i | ||||
\(616\) | −0.442960 | + | 0.767229i | −0.000719091 | + | 0.00124550i | ||||
\(617\) | 248.717 | − | 430.791i | 0.403108 | − | 0.698203i | −0.590992 | − | 0.806678i | \(-0.701263\pi\) |
0.994099 | + | 0.108475i | \(0.0345967\pi\) | |||||||
\(618\) | 147.023 | + | 719.901i | 0.237901 | + | 1.16489i | ||||
\(619\) | 528.867 | + | 916.025i | 0.854390 | + | 1.47985i | 0.877210 | + | 0.480107i | \(0.159402\pi\) |
−0.0228204 | + | 0.999740i | \(0.507265\pi\) | |||||||
\(620\) | −248.274 | + | 70.1788i | −0.400441 | + | 0.113192i | ||||
\(621\) | 47.4293 | + | 585.946i | 0.0763757 | + | 0.943553i | ||||
\(622\) | 460.806i | 0.740846i | ||||||||
\(623\) | −140.874 | − | 244.001i | −0.226122 | − | 0.391655i | ||||
\(624\) | 176.673 | + | 865.087i | 0.283130 | + | 1.38636i | ||||
\(625\) | 341.637 | + | 523.363i | 0.546620 | + | 0.837381i | ||||
\(626\) | −558.170 | − | 322.259i | −0.891645 | − | 0.514792i | ||||
\(627\) | −0.510313 | + | 0.452163i | −0.000813896 | + | 0.000721153i | ||||
\(628\) | 221.425 | − | 127.840i | 0.352588 | − | 0.203567i | ||||
\(629\) | − | 41.6792i | − | 0.0662626i | ||||||
\(630\) | −448.504 | + | 1160.46i | −0.711912 | + | 1.84199i | ||||
\(631\) | 638.591 | 1.01203 | 0.506015 | − | 0.862524i | \(-0.331118\pi\) | ||||
0.506015 | + | 0.862524i | \(0.331118\pi\) | |||||||
\(632\) | 5.34071 | + | 9.25037i | 0.00845048 | + | 0.0146367i | ||||
\(633\) | 92.8107 | − | 278.068i | 0.146620 | − | 0.439286i | ||||
\(634\) | 694.458 | − | 1202.84i | 1.09536 | − | 1.89722i | ||||
\(635\) | 381.558 | + | 96.6634i | 0.600879 | + | 0.152226i | ||||
\(636\) | −172.565 | + | 517.019i | −0.271329 | + | 0.812923i | ||||
\(637\) | −741.485 | + | 428.097i | −1.16403 | + | 0.672051i | ||||
\(638\) | −29.6050 | −0.0464028 | ||||||||
\(639\) | 317.210 | + | 744.224i | 0.496417 | + | 1.16467i | ||||
\(640\) | 32.7237 | − | 9.24991i | 0.0511307 | − | 0.0144530i | ||||
\(641\) | 765.794 | − | 442.131i | 1.19469 | − | 0.689753i | 0.235321 | − | 0.971918i | \(-0.424386\pi\) |
0.959366 | + | 0.282165i | \(0.0910526\pi\) | |||||||
\(642\) | 548.908 | + | 619.500i | 0.854997 | + | 0.964953i | ||||
\(643\) | −884.408 | − | 510.613i | −1.37544 | − | 0.794111i | −0.383834 | − | 0.923402i | \(-0.625396\pi\) |
−0.991607 | + | 0.129291i | \(0.958730\pi\) | |||||||
\(644\) | 747.534 | + | 431.589i | 1.16077 | + | 0.670169i | ||||
\(645\) | −397.771 | − | 769.796i | −0.616700 | − | 1.19348i | ||||
\(646\) | 2.15385 | + | 3.73057i | 0.00333413 | + | 0.00577488i | ||||
\(647\) | −488.043 | −0.754317 | −0.377159 | − | 0.926149i | \(-0.623099\pi\) | ||||
−0.377159 | + | 0.926149i | \(0.623099\pi\) | |||||||
\(648\) | −11.9241 | + | 12.4214i | −0.0184014 | + | 0.0191689i | ||||
\(649\) | −27.0226 | −0.0416373 | ||||||||
\(650\) | −634.261 | + | 1171.46i | −0.975786 | + | 1.80225i | ||||
\(651\) | 73.9581 | + | 362.138i | 0.113607 | + | 0.556280i | ||||
\(652\) | −852.005 | − | 491.905i | −1.30676 | − | 0.754456i | ||||
\(653\) | −305.648 | + | 529.397i | −0.468067 | + | 0.810716i | −0.999334 | − | 0.0364887i | \(-0.988383\pi\) |
0.531267 | + | 0.847204i | \(0.321716\pi\) | |||||||
\(654\) | −929.971 | − | 1049.57i | −1.42197 | − | 1.60485i | ||||
\(655\) | −637.334 | + | 655.015i | −0.973028 | + | 1.00002i | ||||
\(656\) | − | 600.240i | − | 0.915001i | ||||||
\(657\) | 509.316 | + | 1194.93i | 0.775214 | + | 1.81877i | ||||
\(658\) | 1370.46i | 2.08276i | ||||||||
\(659\) | 125.687 | − | 72.5657i | 0.190724 | − | 0.110115i | −0.401597 | − | 0.915816i | \(-0.631545\pi\) |
0.592322 | + | 0.805702i | \(0.298211\pi\) | |||||||
\(660\) | 26.1534 | + | 1.22127i | 0.0396264 | + | 0.00185042i | ||||
\(661\) | −415.128 | + | 719.023i | −0.628030 | + | 1.08778i | 0.359916 | + | 0.932985i | \(0.382805\pi\) |
−0.987947 | + | 0.154796i | \(0.950528\pi\) | |||||||
\(662\) | 337.650 | − | 584.827i | 0.510045 | − | 0.883424i | ||||
\(663\) | 152.464 | + | 50.8880i | 0.229961 | + | 0.0767541i | ||||
\(664\) | 8.13214 | + | 14.0853i | 0.0122472 | + | 0.0212128i | ||||
\(665\) | 7.02063 | + | 24.8371i | 0.0105573 | + | 0.0373490i | ||||
\(666\) | 224.076 | − | 298.280i | 0.336451 | − | 0.447868i | ||||
\(667\) | 529.550i | 0.793929i | ||||||||
\(668\) | 271.330 | + | 469.957i | 0.406182 | + | 0.703529i | ||||
\(669\) | −209.778 | + | 185.874i | −0.313569 | + | 0.277838i | ||||
\(670\) | −448.228 | − | 113.554i | −0.668997 | − | 0.169483i | ||||
\(671\) | 8.22230 | + | 4.74715i | 0.0122538 | + | 0.00707473i | ||||
\(672\) | −265.445 | − | 1299.76i | −0.395007 | − | 1.93417i | ||||
\(673\) | 235.054 | − | 135.708i | 0.349262 | − | 0.201647i | −0.315098 | − | 0.949059i | \(-0.602037\pi\) |
0.664360 | + | 0.747412i | \(0.268704\pi\) | |||||||
\(674\) | 801.438i | 1.18908i | ||||||||
\(675\) | 671.058 | − | 72.8460i | 0.994160 | − | 0.107920i | ||||
\(676\) | −744.199 | −1.10089 | ||||||||
\(677\) | −447.970 | − | 775.906i | −0.661698 | − | 1.14609i | −0.980169 | − | 0.198162i | \(-0.936503\pi\) |
0.318471 | − | 0.947933i | \(-0.396831\pi\) | |||||||
\(678\) | 357.524 | − | 73.0158i | 0.527322 | − | 0.107693i | ||||
\(679\) | −111.838 | + | 193.709i | −0.164710 | + | 0.285286i | ||||
\(680\) | 0.745781 | − | 2.94381i | 0.00109674 | − | 0.00432913i | ||||
\(681\) | −393.907 | − | 444.564i | −0.578424 | − | 0.652811i | ||||
\(682\) | 13.3489 | − | 7.70700i | 0.0195732 | − | 0.0113006i | ||||
\(683\) | 255.548 | 0.374155 | 0.187078 | − | 0.982345i | \(-0.440098\pi\) | ||||
0.187078 | + | 0.982345i | \(0.440098\pi\) | |||||||
\(684\) | −2.34259 | + | 19.3161i | −0.00342484 | + | 0.0282400i | ||||
\(685\) | 26.7706 | − | 7.56719i | 0.0390812 | − | 0.0110470i | ||||
\(686\) | −79.9938 | + | 46.1844i | −0.116609 | + | 0.0673242i | ||||
\(687\) | 172.141 | − | 515.749i | 0.250569 | − | 0.750726i | ||||
\(688\) | 785.182 | + | 453.325i | 1.14125 | + | 0.658902i | ||||
\(689\) | 724.085 | + | 418.051i | 1.05092 | + | 0.606750i | ||||
\(690\) | 43.2893 | − | 927.036i | 0.0627382 | − | 1.34353i | ||||
\(691\) | −61.2973 | − | 106.170i | −0.0887081 | − | 0.153647i | 0.818257 | − | 0.574852i | \(-0.194940\pi\) |
−0.906965 | + | 0.421205i | \(0.861607\pi\) | |||||||
\(692\) | −273.184 | −0.394775 | ||||||||
\(693\) | 4.51578 | − | 37.2354i | 0.00651628 | − | 0.0537308i | ||||
\(694\) | −1250.23 | −1.80148 | ||||||||
\(695\) | 608.921 | + | 592.484i | 0.876146 | + | 0.852495i | ||||
\(696\) | −11.6091 | + | 10.2862i | −0.0166797 | + | 0.0147790i | ||||
\(697\) | −94.6296 | − | 54.6344i | −0.135767 | − | 0.0783852i | ||||
\(698\) | −138.185 | + | 239.344i | −0.197973 | + | 0.342900i | ||||
\(699\) | 524.744 | − | 107.166i | 0.750707 | − | 0.153314i | ||||
\(700\) | 471.894 | − | 871.575i | 0.674134 | − | 1.24511i | ||||
\(701\) | 595.027i | 0.848826i | 0.905469 | + | 0.424413i | \(0.139520\pi\) | ||||
−0.905469 | + | 0.424413i | \(0.860480\pi\) | |||||||
\(702\) | 817.539 | + | 1183.86i | 1.16459 | + | 1.68642i | ||||
\(703\) | − | 7.73968i | − | 0.0110095i | ||||||
\(704\) | −24.6214 | + | 14.2152i | −0.0349736 | + | 0.0201920i | ||||
\(705\) | 660.574 | − | 341.334i | 0.936985 | − | 0.484161i | ||||
\(706\) | 139.517 | − | 241.651i | 0.197617 | − | 0.342282i | ||||
\(707\) | −279.365 | + | 483.874i | −0.395141 | + | 0.684404i | ||||
\(708\) | −577.194 | + | 511.423i | −0.815246 | + | 0.722350i | ||||
\(709\) | −280.492 | − | 485.826i | −0.395616 | − | 0.685227i | 0.597564 | − | 0.801822i | \(-0.296136\pi\) |
−0.993180 | + | 0.116594i | \(0.962802\pi\) | |||||||
\(710\) | −347.399 | − | 1229.00i | −0.489295 | − | 1.73099i | ||||
\(711\) | −361.572 | − | 271.623i | −0.508541 | − | 0.382030i | ||||
\(712\) | 6.15588i | 0.00864589i | ||||||||
\(713\) | −137.857 | − | 238.775i | −0.193347 | − | 0.334887i | ||||
\(714\) | −224.786 | − | 75.0268i | −0.314827 | − | 0.105080i | ||||
\(715\) | 9.86309 | − | 38.9324i | 0.0137945 | − | 0.0544509i | ||||
\(716\) | −133.961 | − | 77.3424i | −0.187096 | − | 0.108020i | ||||
\(717\) | −43.4254 | − | 14.4941i | −0.0605654 | − | 0.0202149i | ||||
\(718\) | 1230.63 | − | 710.502i | 1.71396 | − | 0.989557i | ||||
\(719\) | − | 1218.37i | − | 1.69453i | −0.531168 | − | 0.847266i | \(-0.678247\pi\) | ||
0.531168 | − | 0.847266i | \(-0.321753\pi\) | |||||||
\(720\) | −549.900 | + | 443.222i | −0.763750 | + | 0.615586i | ||||
\(721\) | −838.570 | −1.16307 | ||||||||
\(722\) | −512.513 | − | 887.698i | −0.709851 | − | 1.22950i | ||||
\(723\) | −634.990 | − | 716.652i | −0.878271 | − | 0.991220i | ||||
\(724\) | −566.423 | + | 981.074i | −0.782353 | + | 1.35507i | ||||
\(725\) | 607.817 | − | 16.6351i | 0.838368 | − | 0.0229450i | ||||
\(726\) | 1009.11 | − | 206.088i | 1.38997 | − | 0.283867i | ||||
\(727\) | −687.921 | + | 397.172i | −0.946247 | + | 0.546316i | −0.891913 | − | 0.452207i | \(-0.850637\pi\) |
−0.0543338 | + | 0.998523i | \(0.517304\pi\) | |||||||
\(728\) | 38.7825 | 0.0532727 | ||||||||
\(729\) | 258.214 | − | 681.738i | 0.354203 | − | 0.935169i | ||||
\(730\) | −557.788 | − | 1973.30i | −0.764093 | − | 2.70315i | ||||
\(731\) | 142.936 | − | 82.5241i | 0.195535 | − | 0.112892i | ||||
\(732\) | 265.469 | − | 54.2158i | 0.362663 | − | 0.0740652i | ||||
\(733\) | 681.408 | + | 393.411i | 0.929615 | + | 0.536714i | 0.886690 | − | 0.462365i | \(-0.152999\pi\) |
0.0429255 | + | 0.999078i | \(0.486332\pi\) | |||||||
\(734\) | 841.186 | + | 485.659i | 1.14603 | + | 0.661661i | ||||
\(735\) | −576.509 | − | 369.736i | −0.784365 | − | 0.503043i | ||||
\(736\) | 494.785 | + | 856.992i | 0.672262 | + | 1.16439i | ||||
\(737\) | 13.9404 | 0.0189150 | ||||||||
\(738\) | −383.498 | − | 899.745i | −0.519645 | − | 1.21917i | ||||
\(739\) | 1398.66 | 1.89264 | 0.946320 | − | 0.323231i | \(-0.104769\pi\) | ||||
0.946320 | + | 0.323231i | \(0.104769\pi\) | |||||||
\(740\) | −207.262 | + | 213.012i | −0.280084 | + | 0.287854i | ||||
\(741\) | 28.3121 | + | 9.44972i | 0.0382080 | + | 0.0127527i | ||||
\(742\) | −1067.56 | − | 616.355i | −1.43876 | − | 0.830667i | ||||
\(743\) | −274.315 | + | 475.127i | −0.369199 | + | 0.639471i | −0.989440 | − | 0.144940i | \(-0.953701\pi\) |
0.620242 | + | 0.784411i | \(0.287035\pi\) | |||||||
\(744\) | 2.55675 | − | 7.66022i | 0.00343649 | − | 0.0102960i | ||||
\(745\) | 281.508 | − | 289.317i | 0.377862 | − | 0.388346i | ||||
\(746\) | 1736.35i | 2.32755i | ||||||||
\(747\) | −550.556 | − | 413.593i | −0.737023 | − | 0.553672i | ||||
\(748\) | 4.98710i | 0.00666725i | ||||||||
\(749\) | −818.078 | + | 472.318i | −1.09223 | + | 0.630598i | ||||
\(750\) | −1065.41 | − | 20.5658i | −1.42055 | − | 0.0274210i | ||||
\(751\) | 133.681 | − | 231.542i | 0.178003 | − | 0.308311i | −0.763193 | − | 0.646170i | \(-0.776370\pi\) |
0.941197 | + | 0.337859i | \(0.109703\pi\) | |||||||
\(752\) | −389.005 | + | 673.777i | −0.517294 | + | 0.895980i | ||||
\(753\) | 57.2317 | + | 280.237i | 0.0760049 | + | 0.372160i | ||||
\(754\) | 648.003 | + | 1122.37i | 0.859420 | + | 1.48856i | ||||
\(755\) | 424.730 | − | 120.057i | 0.562556 | − | 0.159016i | ||||
\(756\) | −608.254 | − | 880.803i | −0.804569 | − | 1.16508i | ||||
\(757\) | 471.386i | 0.622703i | 0.950295 | + | 0.311351i | \(0.100782\pi\) | ||||
−0.950295 | + | 0.311351i | \(0.899218\pi\) | |||||||
\(758\) | 266.311 | + | 461.265i | 0.351334 | + | 0.608529i | ||||
\(759\) | 5.59855 | + | 27.4135i | 0.00737621 | + | 0.0361179i | ||||
\(760\) | 0.138489 | − | 0.546655i | 0.000182222 | − | 0.000719283i | ||||
\(761\) | 917.999 | + | 530.007i | 1.20631 | + | 0.696461i | 0.961950 | − | 0.273225i | \(-0.0880902\pi\) |
0.244356 | + | 0.969686i | \(0.421424\pi\) | |||||||
\(762\) | −502.292 | + | 445.056i | −0.659175 | + | 0.584063i | ||||
\(763\) | 1386.00 | − | 800.210i | 1.81652 | − | 1.04877i | ||||
\(764\) | 237.585i | 0.310975i | ||||||||
\(765\) | 19.8229 | + | 127.036i | 0.0259122 | + | 0.166060i | ||||
\(766\) | −420.042 | −0.548357 | ||||||||
\(767\) | 591.478 | + | 1024.47i | 0.771158 | + | 1.33569i | ||||
\(768\) | 233.801 | − | 700.486i | 0.304428 | − | 0.912091i | ||||
\(769\) | −216.513 | + | 375.012i | −0.281551 | + | 0.487661i | −0.971767 | − | 0.235942i | \(-0.924182\pi\) |
0.690216 | + | 0.723604i | \(0.257516\pi\) | |||||||
\(770\) | −14.5417 | + | 57.4001i | −0.0188853 | + | 0.0745456i | ||||
\(771\) | −7.53452 | + | 22.5740i | −0.00977240 | + | 0.0292789i | ||||
\(772\) | −446.642 | + | 257.869i | −0.578552 | + | 0.334027i | ||||
\(773\) | 1088.28 | 1.40787 | 0.703936 | − | 0.710264i | \(-0.251424\pi\) | ||||
0.703936 | + | 0.710264i | \(0.251424\pi\) | |||||||
\(774\) | 1466.60 | + | 177.864i | 1.89483 | + | 0.229798i | ||||
\(775\) | −269.734 | + | 165.732i | −0.348044 | + | 0.213848i | ||||
\(776\) | 4.23232 | − | 2.44353i | 0.00545402 | − | 0.00314888i | ||||
\(777\) | 282.366 | + | 318.680i | 0.363406 | + | 0.410141i | ||||
\(778\) | −1130.65 | − | 652.782i | −1.45328 | − | 0.839052i | ||||
\(779\) | −17.5724 | − | 10.1454i | −0.0225576 | − | 0.0130237i | ||||
\(780\) | −526.154 | − | 1018.25i | −0.674556 | − | 1.30545i | ||||
\(781\) | 19.2523 | + | 33.3460i | 0.0246509 | + | 0.0426965i | ||||
\(782\) | 176.773 | 0.226052 | ||||||||
\(783\) | 281.390 | − | 593.345i | 0.359374 | − | 0.757785i | ||||
\(784\) | 716.626 | 0.914063 | ||||||||
\(785\) | 218.787 | − | 224.856i | 0.278709 | − | 0.286441i | ||||
\(786\) | −311.789 | − | 1526.69i | −0.396678 | − | 1.94235i | ||||
\(787\) | −279.669 | − | 161.467i | −0.355361 | − | 0.205168i | 0.311683 | − | 0.950186i | \(-0.399107\pi\) |
−0.667044 | + | 0.745018i | \(0.732441\pi\) | |||||||
\(788\) | −683.665 | + | 1184.14i | −0.867595 | + | 1.50272i | ||||
\(789\) | 816.461 | + | 921.461i | 1.03480 | + | 1.16788i | ||||
\(790\) | 511.683 | + | 497.870i | 0.647700 | + | 0.630216i | ||||
\(791\) | 416.459i | 0.526497i | ||||||||
\(792\) | −0.492222 | + | 0.655225i | −0.000621493 | + | 0.000827304i | ||||
\(793\) | − | 415.628i | − | 0.524121i | ||||||
\(794\) | 1769.17 | − | 1021.43i | 2.22817 | − | 1.28643i | ||||
\(795\) | −31.1973 | + | 668.085i | −0.0392418 | + | 0.840359i | ||||
\(796\) | 259.078 | − | 448.736i | 0.325474 | − | 0.563738i | ||||
\(797\) | 722.713 | − | 1251.78i | 0.906792 | − | 1.57061i | 0.0882984 | − | 0.996094i | \(-0.471857\pi\) |
0.818494 | − | 0.574516i | \(-0.194810\pi\) | |||||||
\(798\) | −41.7421 | − | 13.9322i | −0.0523084 | − | 0.0174589i | ||||
\(799\) | 70.8152 | + | 122.656i | 0.0886298 | + | 0.153511i | ||||
\(800\) | 968.111 | − | 594.834i | 1.21014 | − | 0.743542i | ||||
\(801\) | −102.192 | − | 239.759i | −0.127581 | − | 0.299324i | ||||
\(802\) | − | 215.234i | − | 0.268372i | ||||||
\(803\) | 30.9117 | + | 53.5406i | 0.0384953 | + | 0.0666758i | ||||
\(804\) | 297.762 | − | 263.832i | 0.370351 | − | 0.328150i | ||||
\(805\) | 1026.73 | + | 260.110i | 1.27544 | + | 0.323118i | ||||
\(806\) | −584.370 | − | 337.386i | −0.725024 | − | 0.418593i | ||||
\(807\) | 120.706 | + | 591.043i | 0.149574 | + | 0.732396i | ||||
\(808\) | 10.5721 | − | 6.10380i | 0.0130843 | − | 0.00755421i | ||||
\(809\) | − | 981.839i | − | 1.21365i | −0.794837 | − | 0.606823i | \(-0.792444\pi\) | ||
0.794837 | − | 0.606823i | \(-0.207556\pi\) | |||||||
\(810\) | −541.108 | + | 1015.71i | −0.668034 | + | 1.25397i | ||||
\(811\) | −600.049 | −0.739888 | −0.369944 | − | 0.929054i | \(-0.620623\pi\) | ||||
−0.369944 | + | 0.929054i | \(0.620623\pi\) | |||||||
\(812\) | −482.118 | − | 835.052i | −0.593741 | − | 1.02839i | ||||
\(813\) | −355.864 | + | 72.6766i | −0.437717 | + | 0.0893932i | ||||
\(814\) | 8.87812 | − | 15.3774i | 0.0109068 | − | 0.0188911i | ||||
\(815\) | −1170.22 | − | 296.461i | −1.43585 | − | 0.363756i | ||||
\(816\) | −89.2183 | − | 100.692i | −0.109336 | − | 0.123397i | ||||
\(817\) | 26.5427 | − | 15.3244i | 0.0324880 | − | 0.0187570i | ||||
\(818\) | −1449.42 | −1.77191 | ||||||||
\(819\) | −1510.50 | + | 643.819i | −1.84432 | + | 0.786104i | ||||
\(820\) | 211.943 | + | 749.798i | 0.258467 | + | 0.914388i | ||||
\(821\) | −896.354 | + | 517.510i | −1.09178 | + | 0.630342i | −0.934051 | − | 0.357140i | \(-0.883752\pi\) |
−0.157733 | + | 0.987482i | \(0.550418\pi\) | |||||||
\(822\) | −15.0169 | + | 44.9917i | −0.0182687 | + | 0.0547344i | ||||
\(823\) | −1219.38 | − | 704.012i | −1.48163 | − | 0.855421i | −0.481850 | − | 0.876254i | \(-0.660035\pi\) |
−0.999783 | + | 0.0208322i | \(0.993368\pi\) | |||||||
\(824\) | 15.8672 | + | 9.16091i | 0.0192563 | + | 0.0111176i | ||||
\(825\) | 31.2892 | − | 7.28716i | 0.0379263 | − | 0.00883292i | ||||
\(826\) | −872.048 | − | 1510.43i | −1.05575 | − | 1.82861i | ||||
\(827\) | −1535.05 | −1.85617 | −0.928086 | − | 0.372367i | \(-0.878546\pi\) | ||||
−0.928086 | + | 0.372367i | \(0.878546\pi\) | |||||||
\(828\) | 638.404 | + | 479.587i | 0.771020 | + | 0.579211i | ||||
\(829\) | −185.325 | −0.223552 | −0.111776 | − | 0.993733i | \(-0.535654\pi\) | ||||
−0.111776 | + | 0.993733i | \(0.535654\pi\) | |||||||
\(830\) | 779.125 | + | 758.093i | 0.938705 | + | 0.913365i | ||||
\(831\) | 752.223 | − | 666.507i | 0.905202 | − | 0.802055i | ||||
\(832\) | 1077.84 | + | 622.292i | 1.29548 | + | 0.747947i | ||||
\(833\) | 65.2280 | − | 112.978i | 0.0783049 | − | 0.135628i | ||||
\(834\) | −1419.25 | + | 289.848i | −1.70174 | + | 0.347540i | ||||
\(835\) | 477.240 | + | 464.357i | 0.571544 | + | 0.556116i | ||||
\(836\) | 0.926087i | 0.00110776i | ||||||||
\(837\) | 27.5855 | + | 340.793i | 0.0329575 | + | 0.407161i | ||||
\(838\) | 1981.10i | 2.36408i | ||||||||
\(839\) | −1120.53 | + | 646.937i | −1.33555 | + | 0.771081i | −0.986144 | − | 0.165889i | \(-0.946951\pi\) |
−0.349408 | + | 0.936971i | \(0.613617\pi\) | |||||||
\(840\) | 14.2413 | + | 27.5609i | 0.0169540 | + | 0.0328106i | ||||
\(841\) | −124.726 | + | 216.032i | −0.148307 | + | 0.256875i | ||||
\(842\) | 1075.30 | − | 1862.47i | 1.27708 | − | 2.21196i | ||||
\(843\) | −311.817 | + | 276.285i | −0.369889 | + | 0.327741i | ||||
\(844\) | −199.087 | − | 344.829i | −0.235885 | − | 0.408565i | ||||
\(845\) | −878.739 | + | 248.391i | −1.03993 | + | 0.293954i | ||||
\(846\) | −152.628 | + | 1258.51i | −0.180411 | + | 1.48760i | ||||
\(847\) | 1175.46i | 1.38779i | ||||||||
\(848\) | −349.905 | − | 606.053i | −0.412623 | − | 0.714685i | ||||
\(849\) | 275.474 | + | 91.9449i | 0.324469 | + | 0.108298i | ||||
\(850\) | −5.55309 | − | 202.900i | −0.00653305 | − | 0.238705i | ||||
\(851\) | −275.058 | − | 158.805i | −0.323217 | − | 0.186610i | ||||
\(852\) | 1042.32 | + | 347.895i | 1.22338 | + | 0.408328i | ||||
\(853\) | 335.726 | − | 193.832i | 0.393583 | − | 0.227235i | −0.290128 | − | 0.956988i | \(-0.593698\pi\) |
0.683711 | + | 0.729752i | \(0.260365\pi\) | |||||||
\(854\) | 612.782i | 0.717543i | ||||||||
\(855\) | 3.68104 | + | 23.5901i | 0.00430530 | + | 0.0275908i | ||||
\(856\) | 20.6392 | 0.0241112 | ||||||||
\(857\) | 39.5696 | + | 68.5365i | 0.0461722 | + | 0.0799726i | 0.888188 | − | 0.459480i | \(-0.151964\pi\) |
−0.842016 | + | 0.539453i | \(0.818631\pi\) | |||||||
\(858\) | 45.4115 | + | 51.2515i | 0.0529271 | + | 0.0597337i | ||||
\(859\) | 329.529 | − | 570.761i | 0.383620 | − | 0.664448i | −0.607957 | − | 0.793970i | \(-0.708011\pi\) |
0.991577 | + | 0.129521i | \(0.0413441\pi\) | |||||||
\(860\) | −1140.89 | − | 289.031i | −1.32661 | − | 0.336082i | ||||
\(861\) | 1093.67 | − | 223.357i | 1.27024 | − | 0.259416i | ||||
\(862\) | −1225.23 | + | 707.386i | −1.42138 | + | 0.820633i | ||||
\(863\) | 1070.61 | 1.24057 | 0.620286 | − | 0.784375i | \(-0.287016\pi\) | ||||
0.620286 | + | 0.784375i | \(0.287016\pi\) | |||||||
\(864\) | −99.0077 | − | 1223.15i | −0.114592 | − | 1.41568i | ||||
\(865\) | −322.572 | + | 91.1805i | −0.372916 | + | 0.105411i | ||||
\(866\) | 1037.63 | − | 599.077i | 1.19819 | − | 0.691775i | ||||
\(867\) | 825.471 | − | 168.583i | 0.952100 | − | 0.194444i | ||||
\(868\) | 434.775 | + | 251.017i | 0.500892 | + | 0.289190i | ||||
\(869\) | −18.6403 | − | 10.7620i | −0.0214503 | − | 0.0123843i | ||||
\(870\) | −559.664 | + | 872.651i | −0.643292 | + | 1.00305i | ||||
\(871\) | −305.131 | − | 528.502i | −0.350322 | − | 0.606776i | ||||
\(872\) | −34.9674 | −0.0401002 | ||||||||
\(873\) | −124.276 | + | 165.430i | −0.142355 | + | 0.189496i | ||||
\(874\) | 32.8261 | 0.0375585 | ||||||||
\(875\) | 266.300 | − | 1186.65i | 0.304343 | − | 1.35617i | ||||
\(876\) | 1673.56 | + | 558.584i | 1.91046 | + | 0.637653i | ||||
\(877\) | −928.802 | − | 536.244i | −1.05907 | − | 0.611452i | −0.133893 | − | 0.990996i | \(-0.542748\pi\) |
−0.925174 | + | 0.379543i | \(0.876081\pi\) | |||||||
\(878\) | 650.002 | − | 1125.84i | 0.740321 | − | 1.28227i | ||||
\(879\) | −365.748 | + | 1095.81i | −0.416095 | + | 1.24666i | ||||
\(880\) | −23.4424 | + | 24.0927i | −0.0266390 | + | 0.0273781i | ||||
\(881\) | 1433.62i | 1.62726i | 0.581381 | + | 0.813632i | \(0.302513\pi\) | ||||
−0.581381 | + | 0.813632i | \(0.697487\pi\) | |||||||
\(882\) | 1074.20 | − | 457.857i | 1.21792 | − | 0.519112i | ||||
\(883\) | − | 731.816i | − | 0.828784i | −0.910099 | − | 0.414392i | \(-0.863994\pi\) | ||
0.910099 | − | 0.414392i | \(-0.136006\pi\) | |||||||
\(884\) | 189.069 | − | 109.159i | 0.213879 | − | 0.123483i | ||||
\(885\) | −510.845 | + | 796.531i | −0.577226 | + | 0.900035i | ||||
\(886\) | −330.013 | + | 571.600i | −0.372475 | + | 0.645146i | ||||
\(887\) | −642.482 | + | 1112.81i | −0.724331 | + | 1.25458i | 0.234918 | + | 0.972015i | \(0.424518\pi\) |
−0.959249 | + | 0.282563i | \(0.908815\pi\) | |||||||
\(888\) | −1.86145 | − | 9.11464i | −0.00209623 | − | 0.0102642i | ||||
\(889\) | −382.956 | − | 663.299i | −0.430772 | − | 0.746119i | ||||
\(890\) | 111.918 | + | 395.935i | 0.125750 | + | 0.444871i | ||||
\(891\) | 8.29381 | − | 33.6909i | 0.00930843 | − | 0.0378124i | ||||
\(892\) | 380.693i | 0.426786i | ||||||||
\(893\) | 13.1501 | + | 22.7767i | 0.0147258 | + | 0.0255058i | ||||
\(894\) | 137.716 | + | 674.331i | 0.154045 | + | 0.754285i | ||||
\(895\) | −183.994 | − | 46.6127i | −0.205580 | − | 0.0520813i | ||||
\(896\) | −57.3054 | − | 33.0853i | −0.0639569 | − | 0.0369255i | ||||
\(897\) | 916.747 | − | 812.284i | 1.02201 | − | 0.905556i | ||||
\(898\) | −1669.35 | + | 963.800i | −1.85896 | + | 1.07327i | ||||
\(899\) | 307.993i | 0.342595i | ||||||||
\(900\) | 530.414 | − | 747.825i | 0.589348 | − | 0.830916i | ||||
\(901\) | −127.395 | −0.141392 | ||||||||
\(902\) | −23.2755 | − | 40.3143i | −0.0258043 | − | 0.0446944i | ||||
\(903\) | −533.810 | + | 1599.34i | −0.591151 | + | 1.77114i | ||||
\(904\) | 4.54958 | − | 7.88010i | 0.00503272 | − | 0.00871693i | ||||
\(905\) | −341.372 | + | 1347.49i | −0.377207 | + | 1.48894i | ||||
\(906\) | −238.250 | + | 713.816i | −0.262969 | + | 0.787877i | ||||
\(907\) | 877.157 | − | 506.427i | 0.967097 | − | 0.558353i | 0.0687467 | − | 0.997634i | \(-0.478100\pi\) |
0.898350 | + | 0.439281i | \(0.144767\pi\) | |||||||
\(908\) | −806.770 | −0.888514 | ||||||||
\(909\) | −310.433 | + | 413.235i | −0.341511 | + | 0.454604i | ||||
\(910\) | 2494.43 | − | 705.092i | 2.74113 | − | 0.774827i | ||||
\(911\) | 551.233 | − | 318.255i | 0.605086 | − | 0.349347i | −0.165954 | − | 0.986134i | \(-0.553070\pi\) |
0.771040 | + | 0.636787i | \(0.219737\pi\) | |||||||
\(912\) | −16.5675 | − | 18.6982i | −0.0181662 | − | 0.0205024i | ||||
\(913\) | −28.3831 | − | 16.3870i | −0.0310877 | − | 0.0179485i | ||||
\(914\) | −1810.13 | − | 1045.08i | −1.98045 | − | 1.14342i | ||||
\(915\) | 295.367 | − | 152.623i | 0.322805 | − | 0.166801i | ||||
\(916\) | −369.258 | − | 639.573i | −0.403120 | − | 0.698224i | ||||
\(917\) | 1778.35 | 1.93931 | ||||||||
\(918\) | −198.069 | − | 93.9326i | −0.215761 | − | 0.102323i | ||||
\(919\) | 1142.09 | 1.24275 | 0.621377 | − | 0.783511i | \(-0.286573\pi\) | ||||
0.621377 | + | 0.783511i | \(0.286573\pi\) | |||||||
\(920\) | −16.5859 | − | 16.1381i | −0.0180281 | − | 0.0175415i | ||||
\(921\) | −124.446 | − | 609.356i | −0.135121 | − | 0.661625i | ||||
\(922\) | 979.654 | + | 565.603i | 1.06253 | + | 0.613453i | ||||
\(923\) | 842.801 | − | 1459.77i | 0.913110 | − | 1.58155i | ||||
\(924\) | −33.7864 | − | 38.1314i | −0.0365654 | − | 0.0412678i | ||||
\(925\) | −173.635 | + | 320.700i | −0.187714 | + | 0.346702i | ||||
\(926\) | 456.338i | 0.492806i | ||||||||
\(927\) | −770.071 | − | 93.3915i | −0.830713 | − | 0.100746i | ||||
\(928\) | − | 1105.42i | − | 1.19119i | ||||||
\(929\) | −681.162 | + | 393.269i | −0.733221 | + | 0.423325i | −0.819599 | − | 0.572937i | \(-0.805804\pi\) |
0.0863784 | + | 0.996262i | \(0.472471\pi\) | |||||||
\(930\) | 25.1776 | − | 539.175i | 0.0270727 | − | 0.579758i | ||||
\(931\) | 12.1126 | − | 20.9796i | 0.0130103 | − | 0.0225345i | ||||
\(932\) | 363.728 | − | 629.995i | 0.390266 | − | 0.675960i | ||||
\(933\) | −461.464 | − | 154.023i | −0.494602 | − | 0.165083i | ||||
\(934\) | 577.787 | + | 1000.76i | 0.618615 | + | 1.07147i | ||||
\(935\) | 1.66454 | + | 5.88870i | 0.00178026 | + | 0.00629807i | ||||
\(936\) | 35.6145 | + | 4.31921i | 0.0380497 | + | 0.00461454i | ||||
\(937\) | − | 811.089i | − | 0.865623i | −0.901484 | − | 0.432812i | \(-0.857522\pi\) | ||
0.901484 | − | 0.432812i | \(-0.142478\pi\) | |||||||
\(938\) | 449.871 | + | 779.199i | 0.479606 | + | 0.830702i | ||||
\(939\) | 509.286 | − | 451.253i | 0.542370 | − | 0.480567i | ||||
\(940\) | 248.022 | − | 979.013i | 0.263853 | − | 1.04150i | ||||
\(941\) | −715.505 | − | 413.097i | −0.760367 | − | 0.438998i | 0.0690604 | − | 0.997612i | \(-0.478000\pi\) |
−0.829428 | + | 0.558614i | \(0.811333\pi\) | |||||||
\(942\) | 107.032 | + | 524.087i | 0.113622 | + | 0.556356i | ||||
\(943\) | −721.111 | + | 416.333i | −0.764698 | + | 0.441499i | ||||
\(944\) | − | 990.124i | − | 1.04886i | ||||||
\(945\) | −1012.20 | − | 837.022i | −1.07111 | − | 0.885738i | ||||
\(946\) | 70.3142 | 0.0743279 | ||||||||
\(947\) | −458.725 | − | 794.535i | −0.484398 | − | 0.839002i | 0.515441 | − | 0.856925i | \(-0.327628\pi\) |
−0.999839 | + | 0.0179227i | \(0.994295\pi\) | |||||||
\(948\) | −601.830 | + | 122.909i | −0.634842 | + | 0.129651i | ||||
\(949\) | 1353.21 | − | 2343.83i | 1.42593 | − | 2.46979i | ||||
\(950\) | −1.03119 | − | 37.6777i | −0.00108546 | − | 0.0396608i | ||||
\(951\) | 972.435 | + | 1097.49i | 1.02254 | + | 1.15404i | ||||
\(952\) | −5.11751 | + | 2.95460i | −0.00537554 | + | 0.00310357i | ||||
\(953\) | −192.772 | −0.202279 | −0.101140 | − | 0.994872i | \(-0.532249\pi\) | ||||
−0.101140 | + | 0.994872i | \(0.532249\pi\) | |||||||
\(954\) | −911.709 | − | 684.901i | −0.955670 | − | 0.717925i | ||||
\(955\) | 79.2986 | + | 280.537i | 0.0830352 | + | 0.293756i | ||||
\(956\) | −53.8513 | + | 31.0910i | −0.0563298 | + | 0.0325220i | ||||
\(957\) | 9.89534 | − | 29.6472i | 0.0103400 | − | 0.0309794i | ||||
\(958\) | 2078.50 | + | 1200.03i | 2.16963 | + | 1.25264i | ||||
\(959\) | −46.8805 | − | 27.0665i | −0.0488848 | − | 0.0282236i | ||||
\(960\) | −46.4388 | + | 994.482i | −0.0483738 | + | 1.03592i | ||||
\(961\) | 400.321 | + | 693.376i | 0.416567 | + | 0.721515i | ||||
\(962\) | −777.308 | −0.808012 | ||||||||
\(963\) | −803.854 | + | 342.626i | −0.834740 | + | 0.355791i | ||||
\(964\) | −1300.54 | −1.34911 | ||||||||
\(965\) | −441.319 | + | 453.563i | −0.457326 | + | 0.470013i | ||||
\(966\) | −1351.61 | + | 1197.59i | −1.39918 | + | 1.23974i | ||||
\(967\) | 742.787 | + | 428.848i | 0.768136 | + | 0.443483i | 0.832209 | − | 0.554462i | \(-0.187076\pi\) |
−0.0640734 | + | 0.997945i | \(0.520409\pi\) | |||||||
\(968\) | 12.8412 | − | 22.2416i | 0.0132657 | − | 0.0229769i | ||||
\(969\) | −4.45581 | + | 0.909994i | −0.00459836 | + | 0.000939106i | ||||
\(970\) | 227.791 | − | 234.110i | 0.234836 | − | 0.241351i | ||||
\(971\) | − | 546.278i | − | 0.562594i | −0.959621 | − | 0.281297i | \(-0.909235\pi\) | ||
0.959621 | − | 0.281297i | \(-0.0907645\pi\) | |||||||
\(972\) | −460.473 | − | 876.594i | −0.473738 | − | 0.901846i | ||||
\(973\) | − | 1653.20i | − | 1.69908i | ||||||
\(974\) | 554.980 | − | 320.418i | 0.569795 | − | 0.328971i | ||||
\(975\) | −961.136 | − | 1026.72i | −0.985780 | − | 1.05305i | ||||
\(976\) | −173.938 | + | 301.270i | −0.178215 | + | 0.308678i | ||||
\(977\) | 397.664 | − | 688.774i | 0.407025 | − | 0.704988i | −0.587530 | − | 0.809203i | \(-0.699899\pi\) |
0.994555 | + | 0.104214i | \(0.0332328\pi\) | |||||||
\(978\) | 1540.50 | − | 1364.96i | 1.57515 | − | 1.39567i | ||||
\(979\) | −6.20231 | − | 10.7427i | −0.00633535 | − | 0.0109732i | ||||
\(980\) | −895.182 | + | 253.039i | −0.913451 | + | 0.258203i | ||||
\(981\) | 1361.91 | − | 580.485i | 1.38828 | − | 0.591728i | ||||
\(982\) | − | 2174.27i | − | 2.21412i | ||||||
\(983\) | 539.710 | + | 934.805i | 0.549044 | + | 0.950972i | 0.998340 | + | 0.0575890i | \(0.0183413\pi\) |
−0.449297 | + | 0.893383i | \(0.648325\pi\) | |||||||
\(984\) | −23.1342 | − | 7.72149i | −0.0235104 | − | 0.00784704i | ||||
\(985\) | −412.031 | + | 1626.40i | −0.418306 | + | 1.65117i | ||||
\(986\) | −171.013 | − | 98.7344i | −0.173441 | − | 0.100136i | ||||
\(987\) | −1372.42 | − | 458.070i | −1.39049 | − | 0.464104i | ||||
\(988\) | 35.1095 | − | 20.2705i | 0.0355359 | − | 0.0205167i | ||||
\(989\) | − | 1257.72i | − | 1.27171i | ||||||
\(990\) | −19.7465 | + | 51.0918i | −0.0199459 | + | 0.0516079i | ||||
\(991\) | 168.017 | 0.169543 | 0.0847716 | − | 0.996400i | \(-0.472984\pi\) | ||||
0.0847716 | + | 0.996400i | \(0.472984\pi\) | |||||||
\(992\) | 287.773 | + | 498.437i | 0.290093 | + | 0.502457i | ||||
\(993\) | 472.804 | + | 533.608i | 0.476137 | + | 0.537370i | ||||
\(994\) | −1242.59 | + | 2152.22i | −1.25009 | + | 2.16521i | ||||
\(995\) | 156.141 | − | 616.333i | 0.156926 | − | 0.619430i | ||||
\(996\) | −916.390 | + | 187.151i | −0.920070 | + | 0.187902i | ||||
\(997\) | 757.109 | − | 437.117i | 0.759387 | − | 0.438432i | −0.0696887 | − | 0.997569i | \(-0.522201\pi\) |
0.829076 | + | 0.559137i | \(0.188867\pi\) | |||||||
\(998\) | 579.829 | 0.580991 | ||||||||
\(999\) | 223.809 | + | 324.095i | 0.224033 | + | 0.324419i |
(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 | 45.3.h.a.14.9 | yes | 20 | |
3.2 | odd | 2 | 135.3.h.a.44.2 | 20 | |||
5.2 | odd | 4 | 225.3.j.e.176.2 | 20 | |||
5.3 | odd | 4 | 225.3.j.e.176.9 | 20 | |||
5.4 | even | 2 | inner | 45.3.h.a.14.2 | ✓ | 20 | |
9.2 | odd | 6 | inner | 45.3.h.a.29.2 | yes | 20 | |
9.4 | even | 3 | 405.3.d.a.404.3 | 20 | |||
9.5 | odd | 6 | 405.3.d.a.404.18 | 20 | |||
9.7 | even | 3 | 135.3.h.a.89.9 | 20 | |||
15.2 | even | 4 | 675.3.j.e.476.9 | 20 | |||
15.8 | even | 4 | 675.3.j.e.476.2 | 20 | |||
15.14 | odd | 2 | 135.3.h.a.44.9 | 20 | |||
45.2 | even | 12 | 225.3.j.e.101.2 | 20 | |||
45.4 | even | 6 | 405.3.d.a.404.17 | 20 | |||
45.7 | odd | 12 | 675.3.j.e.251.9 | 20 | |||
45.14 | odd | 6 | 405.3.d.a.404.4 | 20 | |||
45.29 | odd | 6 | inner | 45.3.h.a.29.9 | yes | 20 | |
45.34 | even | 6 | 135.3.h.a.89.2 | 20 | |||
45.38 | even | 12 | 225.3.j.e.101.9 | 20 | |||
45.43 | odd | 12 | 675.3.j.e.251.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.3.h.a.14.2 | ✓ | 20 | 5.4 | even | 2 | inner | |
45.3.h.a.14.9 | yes | 20 | 1.1 | even | 1 | trivial | |
45.3.h.a.29.2 | yes | 20 | 9.2 | odd | 6 | inner | |
45.3.h.a.29.9 | yes | 20 | 45.29 | odd | 6 | inner | |
135.3.h.a.44.2 | 20 | 3.2 | odd | 2 | |||
135.3.h.a.44.9 | 20 | 15.14 | odd | 2 | |||
135.3.h.a.89.2 | 20 | 45.34 | even | 6 | |||
135.3.h.a.89.9 | 20 | 9.7 | even | 3 | |||
225.3.j.e.101.2 | 20 | 45.2 | even | 12 | |||
225.3.j.e.101.9 | 20 | 45.38 | even | 12 | |||
225.3.j.e.176.2 | 20 | 5.2 | odd | 4 | |||
225.3.j.e.176.9 | 20 | 5.3 | odd | 4 | |||
405.3.d.a.404.3 | 20 | 9.4 | even | 3 | |||
405.3.d.a.404.4 | 20 | 45.14 | odd | 6 | |||
405.3.d.a.404.17 | 20 | 45.4 | even | 6 | |||
405.3.d.a.404.18 | 20 | 9.5 | odd | 6 | |||
675.3.j.e.251.2 | 20 | 45.43 | odd | 12 | |||
675.3.j.e.251.9 | 20 | 45.7 | odd | 12 | |||
675.3.j.e.476.2 | 20 | 15.8 | even | 4 | |||
675.3.j.e.476.9 | 20 | 15.2 | even | 4 |