Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1815,2,Mod(364,1815)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1815, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1815.364");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1815 = 3 \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1815.c (of order \(2\), degree \(1\), 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: | \(14.4928479669\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 21x^{10} + 164x^{8} + 589x^{6} + 965x^{4} + 576x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 364.3 | ||
Root | \(-1.95455i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.i.364.10 |
$q$-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 \(\left(\mathbb{Z}/1815\mathbb{Z}\right)^\times\).
\(n\) | \(727\) | \(1211\) | \(1696\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.95455i | − | 1.38207i | −0.722819 | − | 0.691037i | \(-0.757154\pi\) | ||
0.722819 | − | 0.691037i | \(-0.242846\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.82026 | −0.910131 | ||||||||
\(5\) | −1.24280 | + | 1.85889i | −0.555796 | + | 0.831319i | ||||
\(6\) | −1.95455 | −0.797941 | ||||||||
\(7\) | − | 2.58348i | − | 0.976465i | −0.872714 | − | 0.488232i | \(-0.837642\pi\) | ||
0.872714 | − | 0.488232i | \(-0.162358\pi\) | |||||||
\(8\) | − | 0.351308i | − | 0.124206i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 3.63328 | + | 2.42911i | 1.14894 | + | 0.768152i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.82026i | 0.525464i | ||||||||
\(13\) | 6.49874i | 1.80243i | 0.433376 | + | 0.901213i | \(0.357322\pi\) | ||||
−0.433376 | + | 0.901213i | \(0.642678\pi\) | |||||||
\(14\) | −5.04954 | −1.34955 | ||||||||
\(15\) | 1.85889 | + | 1.24280i | 0.479962 | + | 0.320889i | ||||
\(16\) | −4.32717 | −1.08179 | ||||||||
\(17\) | 7.40085i | 1.79497i | 0.441045 | + | 0.897485i | \(0.354608\pi\) | ||||
−0.441045 | + | 0.897485i | \(0.645392\pi\) | |||||||
\(18\) | 1.95455i | 0.460692i | ||||||||
\(19\) | 6.49258 | 1.48950 | 0.744750 | − | 0.667343i | \(-0.232569\pi\) | ||||
0.744750 | + | 0.667343i | \(0.232569\pi\) | |||||||
\(20\) | 2.26222 | − | 3.38366i | 0.505847 | − | 0.756609i | ||||
\(21\) | −2.58348 | −0.563762 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.238335i | 0.0496962i | 0.999691 | + | 0.0248481i | \(0.00791021\pi\) | ||||
−0.999691 | + | 0.0248481i | \(0.992090\pi\) | |||||||
\(24\) | −0.351308 | −0.0717104 | ||||||||
\(25\) | −1.91091 | − | 4.62044i | −0.382182 | − | 0.924087i | ||||
\(26\) | 12.7021 | 2.49109 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 4.70262i | 0.888711i | ||||||||
\(29\) | −0.959152 | −0.178110 | −0.0890550 | − | 0.996027i | \(-0.528385\pi\) | ||||
−0.0890550 | + | 0.996027i | \(0.528385\pi\) | |||||||
\(30\) | 2.42911 | − | 3.63328i | 0.443493 | − | 0.663344i | ||||
\(31\) | −2.26656 | −0.407087 | −0.203543 | − | 0.979066i | \(-0.565246\pi\) | ||||
−0.203543 | + | 0.979066i | \(0.565246\pi\) | |||||||
\(32\) | 7.75505i | 1.37091i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 14.4653 | 2.48078 | ||||||||
\(35\) | 4.80240 | + | 3.21075i | 0.811754 | + | 0.542715i | ||||
\(36\) | 1.82026 | 0.303377 | ||||||||
\(37\) | 9.55578i | 1.57096i | 0.618887 | + | 0.785480i | \(0.287584\pi\) | ||||
−0.618887 | + | 0.785480i | \(0.712416\pi\) | |||||||
\(38\) | − | 12.6901i | − | 2.05860i | ||||||
\(39\) | 6.49874 | 1.04063 | ||||||||
\(40\) | 0.653040 | + | 0.436604i | 0.103255 | + | 0.0690332i | ||||
\(41\) | −6.20447 | −0.968976 | −0.484488 | − | 0.874798i | \(-0.660994\pi\) | ||||
−0.484488 | + | 0.874798i | \(0.660994\pi\) | |||||||
\(42\) | 5.04954i | 0.779162i | ||||||||
\(43\) | 6.88029i | 1.04923i | 0.851338 | + | 0.524617i | \(0.175791\pi\) | ||||
−0.851338 | + | 0.524617i | \(0.824209\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.24280 | − | 1.85889i | 0.185265 | − | 0.277106i | ||||
\(46\) | 0.465837 | 0.0686839 | ||||||||
\(47\) | 1.09789i | 0.160143i | 0.996789 | + | 0.0800717i | \(0.0255149\pi\) | ||||
−0.996789 | + | 0.0800717i | \(0.974485\pi\) | |||||||
\(48\) | 4.32717i | 0.624573i | ||||||||
\(49\) | 0.325615 | 0.0465164 | ||||||||
\(50\) | −9.03087 | + | 3.73496i | −1.27716 | + | 0.528204i | ||||
\(51\) | 7.40085 | 1.03633 | ||||||||
\(52\) | − | 11.8294i | − | 1.64044i | ||||||
\(53\) | − | 2.71078i | − | 0.372355i | −0.982516 | − | 0.186177i | \(-0.940390\pi\) | ||
0.982516 | − | 0.186177i | \(-0.0596099\pi\) | |||||||
\(54\) | 1.95455 | 0.265980 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.907597 | −0.121283 | ||||||||
\(57\) | − | 6.49258i | − | 0.859963i | ||||||
\(58\) | 1.87471i | 0.246161i | ||||||||
\(59\) | 1.23135 | 0.160308 | 0.0801540 | − | 0.996782i | \(-0.474459\pi\) | ||||
0.0801540 | + | 0.996782i | \(0.474459\pi\) | |||||||
\(60\) | −3.38366 | − | 2.26222i | −0.436828 | − | 0.292051i | ||||
\(61\) | 1.45908 | 0.186815 | 0.0934077 | − | 0.995628i | \(-0.470224\pi\) | ||||
0.0934077 | + | 0.995628i | \(0.470224\pi\) | |||||||
\(62\) | 4.43011i | 0.562625i | ||||||||
\(63\) | 2.58348i | 0.325488i | ||||||||
\(64\) | 6.50329 | 0.812911 | ||||||||
\(65\) | −12.0804 | − | 8.07662i | −1.49839 | − | 1.00178i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 0.387707i | − | 0.0473659i | −0.999720 | − | 0.0236830i | \(-0.992461\pi\) | ||
0.999720 | − | 0.0236830i | \(-0.00753922\pi\) | |||||||
\(68\) | − | 13.4715i | − | 1.63366i | ||||||
\(69\) | 0.238335 | 0.0286921 | ||||||||
\(70\) | 6.27556 | − | 9.38652i | 0.750073 | − | 1.12190i | ||||
\(71\) | −1.12813 | −0.133884 | −0.0669421 | − | 0.997757i | \(-0.521324\pi\) | ||||
−0.0669421 | + | 0.997757i | \(0.521324\pi\) | |||||||
\(72\) | 0.351308i | 0.0414020i | ||||||||
\(73\) | − | 7.21153i | − | 0.844046i | −0.906585 | − | 0.422023i | \(-0.861320\pi\) | ||
0.906585 | − | 0.422023i | \(-0.138680\pi\) | |||||||
\(74\) | 18.6772 | 2.17119 | ||||||||
\(75\) | −4.62044 | + | 1.91091i | −0.533522 | + | 0.220653i | ||||
\(76\) | −11.8182 | −1.35564 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 12.7021i | − | 1.43823i | ||||||
\(79\) | 15.9707 | 1.79684 | 0.898421 | − | 0.439135i | \(-0.144715\pi\) | ||||
0.898421 | + | 0.439135i | \(0.144715\pi\) | |||||||
\(80\) | 5.37780 | − | 8.04371i | 0.601256 | − | 0.899315i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 12.1269i | 1.33920i | ||||||||
\(83\) | 9.40902i | 1.03277i | 0.856355 | + | 0.516387i | \(0.172723\pi\) | ||||
−0.856355 | + | 0.516387i | \(0.827277\pi\) | |||||||
\(84\) | 4.70262 | 0.513097 | ||||||||
\(85\) | −13.7573 | − | 9.19776i | −1.49219 | − | 0.997637i | ||||
\(86\) | 13.4479 | 1.45012 | ||||||||
\(87\) | 0.959152i | 0.102832i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.24004 | −0.131444 | −0.0657222 | − | 0.997838i | \(-0.520935\pi\) | ||||
−0.0657222 | + | 0.997838i | \(0.520935\pi\) | |||||||
\(90\) | −3.63328 | − | 2.42911i | −0.382982 | − | 0.256051i | ||||
\(91\) | 16.7894 | 1.76001 | ||||||||
\(92\) | − | 0.433831i | − | 0.0452300i | ||||||
\(93\) | 2.26656i | 0.235032i | ||||||||
\(94\) | 2.14588 | 0.221330 | ||||||||
\(95\) | −8.06896 | + | 12.0690i | −0.827858 | + | 1.23825i | ||||
\(96\) | 7.75505 | 0.791497 | ||||||||
\(97\) | − | 16.3452i | − | 1.65960i | −0.558061 | − | 0.829800i | \(-0.688454\pi\) | ||
0.558061 | − | 0.829800i | \(-0.311546\pi\) | |||||||
\(98\) | − | 0.636430i | − | 0.0642891i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.47835 | + | 8.41040i | 0.347835 | + | 0.841040i | ||||
\(101\) | 4.57599 | 0.455328 | 0.227664 | − | 0.973740i | \(-0.426891\pi\) | ||||
0.227664 | + | 0.973740i | \(0.426891\pi\) | |||||||
\(102\) | − | 14.4653i | − | 1.43228i | ||||||
\(103\) | − | 9.78997i | − | 0.964634i | −0.875997 | − | 0.482317i | \(-0.839795\pi\) | ||
0.875997 | − | 0.482317i | \(-0.160205\pi\) | |||||||
\(104\) | 2.28306 | 0.223872 | ||||||||
\(105\) | 3.21075 | − | 4.80240i | 0.313337 | − | 0.468666i | ||||
\(106\) | −5.29836 | −0.514622 | ||||||||
\(107\) | 14.0954i | 1.36265i | 0.731981 | + | 0.681325i | \(0.238596\pi\) | ||||
−0.731981 | + | 0.681325i | \(0.761404\pi\) | |||||||
\(108\) | − | 1.82026i | − | 0.175155i | ||||||
\(109\) | 8.23270 | 0.788550 | 0.394275 | − | 0.918993i | \(-0.370996\pi\) | ||||
0.394275 | + | 0.918993i | \(0.370996\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.55578 | 0.906995 | ||||||||
\(112\) | 11.1792i | 1.05633i | ||||||||
\(113\) | 2.23389i | 0.210146i | 0.994464 | + | 0.105073i | \(0.0335077\pi\) | ||||
−0.994464 | + | 0.105073i | \(0.966492\pi\) | |||||||
\(114\) | −12.6901 | −1.18853 | ||||||||
\(115\) | −0.443037 | − | 0.296202i | −0.0413134 | − | 0.0276210i | ||||
\(116\) | 1.74591 | 0.162103 | ||||||||
\(117\) | − | 6.49874i | − | 0.600809i | ||||||
\(118\) | − | 2.40673i | − | 0.221558i | ||||||
\(119\) | 19.1200 | 1.75273 | ||||||||
\(120\) | 0.436604 | − | 0.653040i | 0.0398563 | − | 0.0596142i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 2.85183i | − | 0.258193i | ||||||
\(123\) | 6.20447i | 0.559438i | ||||||||
\(124\) | 4.12574 | 0.370502 | ||||||||
\(125\) | 10.9637 | + | 2.19011i | 0.980626 | + | 0.195889i | ||||
\(126\) | 5.04954 | 0.449849 | ||||||||
\(127\) | 2.57117i | 0.228154i | 0.993472 | + | 0.114077i | \(0.0363911\pi\) | ||||
−0.993472 | + | 0.114077i | \(0.963609\pi\) | |||||||
\(128\) | 2.79911i | 0.247409i | ||||||||
\(129\) | 6.88029 | 0.605776 | ||||||||
\(130\) | −15.7861 | + | 23.6118i | −1.38454 | + | 2.07089i | ||||
\(131\) | −10.8571 | −0.948590 | −0.474295 | − | 0.880366i | \(-0.657297\pi\) | ||||
−0.474295 | + | 0.880366i | \(0.657297\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 16.7735i | − | 1.45444i | ||||||
\(134\) | −0.757792 | −0.0654632 | ||||||||
\(135\) | −1.85889 | − | 1.24280i | −0.159987 | − | 0.106963i | ||||
\(136\) | 2.59998 | 0.222946 | ||||||||
\(137\) | 4.24754i | 0.362892i | 0.983401 | + | 0.181446i | \(0.0580777\pi\) | ||||
−0.983401 | + | 0.181446i | \(0.941922\pi\) | |||||||
\(138\) | − | 0.465837i | − | 0.0396547i | ||||||
\(139\) | 3.96976 | 0.336711 | 0.168355 | − | 0.985726i | \(-0.446154\pi\) | ||||
0.168355 | + | 0.985726i | \(0.446154\pi\) | |||||||
\(140\) | −8.74162 | − | 5.84440i | −0.738802 | − | 0.493942i | ||||
\(141\) | 1.09789 | 0.0924589 | ||||||||
\(142\) | 2.20498i | 0.185038i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 4.32717 | 0.360598 | ||||||||
\(145\) | 1.19203 | − | 1.78295i | 0.0989928 | − | 0.148066i | ||||
\(146\) | −14.0953 | −1.16654 | ||||||||
\(147\) | − | 0.325615i | − | 0.0268562i | ||||||
\(148\) | − | 17.3940i | − | 1.42978i | ||||||
\(149\) | −19.5740 | −1.60356 | −0.801781 | − | 0.597617i | \(-0.796114\pi\) | ||||
−0.801781 | + | 0.597617i | \(0.796114\pi\) | |||||||
\(150\) | 3.73496 | + | 9.03087i | 0.304959 | + | 0.737367i | ||||
\(151\) | 14.2646 | 1.16084 | 0.580419 | − | 0.814318i | \(-0.302889\pi\) | ||||
0.580419 | + | 0.814318i | \(0.302889\pi\) | |||||||
\(152\) | − | 2.28089i | − | 0.185005i | ||||||
\(153\) | − | 7.40085i | − | 0.598323i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.81688 | − | 4.21328i | 0.226257 | − | 0.338419i | ||||
\(156\) | −11.8294 | −0.947111 | ||||||||
\(157\) | 15.1043i | 1.20545i | 0.797948 | + | 0.602727i | \(0.205919\pi\) | ||||
−0.797948 | + | 0.602727i | \(0.794081\pi\) | |||||||
\(158\) | − | 31.2155i | − | 2.48337i | ||||||
\(159\) | −2.71078 | −0.214979 | ||||||||
\(160\) | −14.4158 | − | 9.63796i | −1.13967 | − | 0.761948i | ||||
\(161\) | 0.615734 | 0.0485266 | ||||||||
\(162\) | − | 1.95455i | − | 0.153564i | ||||||
\(163\) | 2.40168i | 0.188114i | 0.995567 | + | 0.0940570i | \(0.0299836\pi\) | ||||
−0.995567 | + | 0.0940570i | \(0.970016\pi\) | |||||||
\(164\) | 11.2938 | 0.881895 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 18.3904 | 1.42737 | ||||||||
\(167\) | − | 11.5799i | − | 0.896077i | −0.894014 | − | 0.448038i | \(-0.852123\pi\) | ||
0.894014 | − | 0.448038i | \(-0.147877\pi\) | |||||||
\(168\) | 0.907597i | 0.0700226i | ||||||||
\(169\) | −29.2336 | −2.24874 | ||||||||
\(170\) | −17.9775 | + | 26.8894i | −1.37881 | + | 2.06232i | ||||
\(171\) | −6.49258 | −0.496500 | ||||||||
\(172\) | − | 12.5239i | − | 0.954940i | ||||||
\(173\) | 6.28112i | 0.477545i | 0.971076 | + | 0.238772i | \(0.0767450\pi\) | ||||
−0.971076 | + | 0.238772i | \(0.923255\pi\) | |||||||
\(174\) | 1.87471 | 0.142121 | ||||||||
\(175\) | −11.9368 | + | 4.93680i | −0.902339 | + | 0.373187i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 1.23135i | − | 0.0925538i | ||||||
\(178\) | 2.42373i | 0.181666i | ||||||||
\(179\) | −15.5580 | −1.16286 | −0.581431 | − | 0.813596i | \(-0.697507\pi\) | ||||
−0.581431 | + | 0.813596i | \(0.697507\pi\) | |||||||
\(180\) | −2.26222 | + | 3.38366i | −0.168616 | + | 0.252203i | ||||
\(181\) | 3.21516 | 0.238981 | 0.119490 | − | 0.992835i | \(-0.461874\pi\) | ||||
0.119490 | + | 0.992835i | \(0.461874\pi\) | |||||||
\(182\) | − | 32.8157i | − | 2.43246i | ||||||
\(183\) | − | 1.45908i | − | 0.107858i | ||||||
\(184\) | 0.0837288 | 0.00617257 | ||||||||
\(185\) | −17.7631 | − | 11.8759i | −1.30597 | − | 0.873133i | ||||
\(186\) | 4.43011 | 0.324832 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 1.99844i | − | 0.145751i | ||||||
\(189\) | 2.58348 | 0.187921 | ||||||||
\(190\) | 23.5894 | + | 15.7712i | 1.71135 | + | 1.14416i | ||||
\(191\) | −23.4223 | −1.69478 | −0.847390 | − | 0.530972i | \(-0.821827\pi\) | ||||
−0.847390 | + | 0.530972i | \(0.821827\pi\) | |||||||
\(192\) | − | 6.50329i | − | 0.469334i | ||||||
\(193\) | 6.58238i | 0.473810i | 0.971533 | + | 0.236905i | \(0.0761330\pi\) | ||||
−0.971533 | + | 0.236905i | \(0.923867\pi\) | |||||||
\(194\) | −31.9474 | −2.29369 | ||||||||
\(195\) | −8.07662 | + | 12.0804i | −0.578379 | + | 0.865096i | ||||
\(196\) | −0.592704 | −0.0423360 | ||||||||
\(197\) | 21.0103i | 1.49693i | 0.663177 | + | 0.748463i | \(0.269208\pi\) | ||||
−0.663177 | + | 0.748463i | \(0.730792\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.5152 | −0.958069 | −0.479035 | − | 0.877796i | \(-0.659013\pi\) | ||||
−0.479035 | + | 0.877796i | \(0.659013\pi\) | |||||||
\(200\) | −1.62319 | + | 0.671317i | −0.114777 | + | 0.0474693i | ||||
\(201\) | −0.387707 | −0.0273467 | ||||||||
\(202\) | − | 8.94399i | − | 0.629297i | ||||||
\(203\) | 2.47795i | 0.173918i | ||||||||
\(204\) | −13.4715 | −0.943193 | ||||||||
\(205\) | 7.71090 | − | 11.5334i | 0.538553 | − | 0.805528i | ||||
\(206\) | −19.1350 | −1.33320 | ||||||||
\(207\) | − | 0.238335i | − | 0.0165654i | ||||||
\(208\) | − | 28.1212i | − | 1.94985i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.38652 | − | 6.27556i | −0.647732 | − | 0.433055i | ||||
\(211\) | 2.38466 | 0.164167 | 0.0820836 | − | 0.996625i | \(-0.473843\pi\) | ||||
0.0820836 | + | 0.996625i | \(0.473843\pi\) | |||||||
\(212\) | 4.93434i | 0.338892i | ||||||||
\(213\) | 1.12813i | 0.0772981i | ||||||||
\(214\) | 27.5501 | 1.88329 | ||||||||
\(215\) | −12.7897 | − | 8.55080i | −0.872248 | − | 0.583160i | ||||
\(216\) | 0.351308 | 0.0239035 | ||||||||
\(217\) | 5.85563i | 0.397506i | ||||||||
\(218\) | − | 16.0912i | − | 1.08983i | ||||||
\(219\) | −7.21153 | −0.487310 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −48.0962 | −3.23530 | ||||||||
\(222\) | − | 18.6772i | − | 1.25353i | ||||||
\(223\) | 23.8264i | 1.59553i | 0.602968 | + | 0.797766i | \(0.293985\pi\) | ||||
−0.602968 | + | 0.797766i | \(0.706015\pi\) | |||||||
\(224\) | 20.0350 | 1.33865 | ||||||||
\(225\) | 1.91091 | + | 4.62044i | 0.127394 | + | 0.308029i | ||||
\(226\) | 4.36624 | 0.290438 | ||||||||
\(227\) | 21.9425i | 1.45637i | 0.685380 | + | 0.728186i | \(0.259636\pi\) | ||||
−0.685380 | + | 0.728186i | \(0.740364\pi\) | |||||||
\(228\) | 11.8182i | 0.782679i | ||||||||
\(229\) | 6.37865 | 0.421513 | 0.210757 | − | 0.977539i | \(-0.432407\pi\) | ||||
0.210757 | + | 0.977539i | \(0.432407\pi\) | |||||||
\(230\) | −0.578941 | + | 0.865937i | −0.0381742 | + | 0.0570982i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.336957i | 0.0221223i | ||||||||
\(233\) | 0.429662i | 0.0281481i | 0.999901 | + | 0.0140740i | \(0.00448006\pi\) | ||||
−0.999901 | + | 0.0140740i | \(0.995520\pi\) | |||||||
\(234\) | −12.7021 | −0.830363 | ||||||||
\(235\) | −2.04085 | − | 1.36445i | −0.133130 | − | 0.0890071i | ||||
\(236\) | −2.24138 | −0.145901 | ||||||||
\(237\) | − | 15.9707i | − | 1.03741i | ||||||
\(238\) | − | 37.3709i | − | 2.42240i | ||||||
\(239\) | 26.9242 | 1.74158 | 0.870791 | − | 0.491654i | \(-0.163607\pi\) | ||||
0.870791 | + | 0.491654i | \(0.163607\pi\) | |||||||
\(240\) | −8.04371 | − | 5.37780i | −0.519220 | − | 0.347135i | ||||
\(241\) | 3.47499 | 0.223844 | 0.111922 | − | 0.993717i | \(-0.464299\pi\) | ||||
0.111922 | + | 0.993717i | \(0.464299\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −2.65590 | −0.170026 | ||||||||
\(245\) | −0.404673 | + | 0.605280i | −0.0258536 | + | 0.0386699i | ||||
\(246\) | 12.1269 | 0.773186 | ||||||||
\(247\) | 42.1936i | 2.68471i | ||||||||
\(248\) | 0.796261i | 0.0505626i | ||||||||
\(249\) | 9.40902 | 0.596272 | ||||||||
\(250\) | 4.28067 | − | 21.4292i | 0.270733 | − | 1.35530i | ||||
\(251\) | −17.1024 | −1.07949 | −0.539746 | − | 0.841828i | \(-0.681480\pi\) | ||||
−0.539746 | + | 0.841828i | \(0.681480\pi\) | |||||||
\(252\) | − | 4.70262i | − | 0.296237i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 5.02547 | 0.315326 | ||||||||
\(255\) | −9.19776 | + | 13.7573i | −0.575986 | + | 0.861518i | ||||
\(256\) | 18.4776 | 1.15485 | ||||||||
\(257\) | 4.13235i | 0.257769i | 0.991660 | + | 0.128885i | \(0.0411397\pi\) | ||||
−0.991660 | + | 0.128885i | \(0.958860\pi\) | |||||||
\(258\) | − | 13.4479i | − | 0.837227i | ||||||
\(259\) | 24.6872 | 1.53399 | ||||||||
\(260\) | 21.9895 | + | 14.7016i | 1.36373 | + | 0.911752i | ||||
\(261\) | 0.959152 | 0.0593700 | ||||||||
\(262\) | 21.2208i | 1.31102i | ||||||||
\(263\) | − | 19.4921i | − | 1.20193i | −0.799274 | − | 0.600966i | \(-0.794783\pi\) | ||
0.799274 | − | 0.600966i | \(-0.205217\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.03904 | + | 3.36896i | 0.309546 | + | 0.206953i | ||||
\(266\) | −32.7846 | −2.01015 | ||||||||
\(267\) | 1.24004i | 0.0758895i | ||||||||
\(268\) | 0.705728i | 0.0431092i | ||||||||
\(269\) | 16.3889 | 0.999249 | 0.499625 | − | 0.866242i | \(-0.333471\pi\) | ||||
0.499625 | + | 0.866242i | \(0.333471\pi\) | |||||||
\(270\) | −2.42911 | + | 3.63328i | −0.147831 | + | 0.221115i | ||||
\(271\) | 16.0828 | 0.976962 | 0.488481 | − | 0.872575i | \(-0.337551\pi\) | ||||
0.488481 | + | 0.872575i | \(0.337551\pi\) | |||||||
\(272\) | − | 32.0248i | − | 1.94179i | ||||||
\(273\) | − | 16.7894i | − | 1.01614i | ||||||
\(274\) | 8.30203 | 0.501544 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.433831 | −0.0261136 | ||||||||
\(277\) | 17.9734i | 1.07992i | 0.841692 | + | 0.539958i | \(0.181560\pi\) | ||||
−0.841692 | + | 0.539958i | \(0.818440\pi\) | |||||||
\(278\) | − | 7.75909i | − | 0.465359i | ||||||
\(279\) | 2.26656 | 0.135696 | ||||||||
\(280\) | 1.12796 | − | 1.68712i | 0.0674085 | − | 0.100825i | ||||
\(281\) | −12.1589 | −0.725339 | −0.362669 | − | 0.931918i | \(-0.618135\pi\) | ||||
−0.362669 | + | 0.931918i | \(0.618135\pi\) | |||||||
\(282\) | − | 2.14588i | − | 0.127785i | ||||||
\(283\) | 6.05689i | 0.360045i | 0.983663 | + | 0.180022i | \(0.0576170\pi\) | ||||
−0.983663 | + | 0.180022i | \(0.942383\pi\) | |||||||
\(284\) | 2.05349 | 0.121852 | ||||||||
\(285\) | 12.0690 | + | 8.06896i | 0.714904 | + | 0.477964i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.0292i | 0.946171i | ||||||||
\(288\) | − | 7.75505i | − | 0.456971i | ||||||
\(289\) | −37.7726 | −2.22192 | ||||||||
\(290\) | −3.48487 | − | 2.32988i | −0.204639 | − | 0.136815i | ||||
\(291\) | −16.3452 | −0.958171 | ||||||||
\(292\) | 13.1269i | 0.768193i | ||||||||
\(293\) | − | 21.9771i | − | 1.28391i | −0.766741 | − | 0.641957i | \(-0.778123\pi\) | ||
0.766741 | − | 0.641957i | \(-0.221877\pi\) | |||||||
\(294\) | −0.636430 | −0.0371173 | ||||||||
\(295\) | −1.53032 | + | 2.28894i | −0.0890985 | + | 0.133267i | ||||
\(296\) | 3.35702 | 0.195123 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 38.2583i | 2.21624i | ||||||||
\(299\) | −1.54887 | −0.0895737 | ||||||||
\(300\) | 8.41040 | − | 3.47835i | 0.485575 | − | 0.200823i | ||||
\(301\) | 17.7751 | 1.02454 | ||||||||
\(302\) | − | 27.8809i | − | 1.60437i | ||||||
\(303\) | − | 4.57599i | − | 0.262884i | ||||||
\(304\) | −28.0945 | −1.61133 | ||||||||
\(305\) | −1.81333 | + | 2.71225i | −0.103831 | + | 0.155303i | ||||
\(306\) | −14.4653 | −0.826928 | ||||||||
\(307\) | − | 21.6041i | − | 1.23301i | −0.787350 | − | 0.616507i | \(-0.788547\pi\) | ||
0.787350 | − | 0.616507i | \(-0.211453\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.78997 | −0.556932 | ||||||||
\(310\) | −8.23507 | − | 5.50573i | −0.467720 | − | 0.312705i | ||||
\(311\) | 26.2869 | 1.49060 | 0.745298 | − | 0.666732i | \(-0.232307\pi\) | ||||
0.745298 | + | 0.666732i | \(0.232307\pi\) | |||||||
\(312\) | − | 2.28306i | − | 0.129253i | ||||||
\(313\) | − | 9.58638i | − | 0.541854i | −0.962600 | − | 0.270927i | \(-0.912670\pi\) | ||
0.962600 | − | 0.270927i | \(-0.0873302\pi\) | |||||||
\(314\) | 29.5221 | 1.66603 | ||||||||
\(315\) | −4.80240 | − | 3.21075i | −0.270585 | − | 0.180905i | ||||
\(316\) | −29.0708 | −1.63536 | ||||||||
\(317\) | 32.6557i | 1.83413i | 0.398742 | + | 0.917063i | \(0.369447\pi\) | ||||
−0.398742 | + | 0.917063i | \(0.630553\pi\) | |||||||
\(318\) | 5.29836i | 0.297117i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −8.08227 | + | 12.0889i | −0.451813 | + | 0.675788i | ||||
\(321\) | 14.0954 | 0.786727 | ||||||||
\(322\) | − | 1.20348i | − | 0.0670674i | ||||||
\(323\) | 48.0506i | 2.67361i | ||||||||
\(324\) | −1.82026 | −0.101126 | ||||||||
\(325\) | 30.0270 | − | 12.4185i | 1.66560 | − | 0.688854i | ||||
\(326\) | 4.69420 | 0.259988 | ||||||||
\(327\) | − | 8.23270i | − | 0.455269i | ||||||
\(328\) | 2.17968i | 0.120353i | ||||||||
\(329\) | 2.83638 | 0.156374 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.40874 | −0.132396 | −0.0661982 | − | 0.997806i | \(-0.521087\pi\) | ||||
−0.0661982 | + | 0.997806i | \(0.521087\pi\) | |||||||
\(332\) | − | 17.1269i | − | 0.939960i | ||||||
\(333\) | − | 9.55578i | − | 0.523654i | ||||||
\(334\) | −22.6334 | −1.23844 | ||||||||
\(335\) | 0.720702 | + | 0.481841i | 0.0393762 | + | 0.0263258i | ||||
\(336\) | 11.1792 | 0.609874 | ||||||||
\(337\) | 26.1424i | 1.42407i | 0.702145 | + | 0.712034i | \(0.252226\pi\) | ||||
−0.702145 | + | 0.712034i | \(0.747774\pi\) | |||||||
\(338\) | 57.1385i | 3.10793i | ||||||||
\(339\) | 2.23389 | 0.121328 | ||||||||
\(340\) | 25.0419 | + | 16.7423i | 1.35809 | + | 0.907980i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 12.6901i | 0.686200i | ||||||||
\(343\) | − | 18.9256i | − | 1.02189i | ||||||
\(344\) | 2.41710 | 0.130321 | ||||||||
\(345\) | −0.296202 | + | 0.443037i | −0.0159470 | + | 0.0238523i | ||||
\(346\) | 12.2768 | 0.660003 | ||||||||
\(347\) | 9.09766i | 0.488388i | 0.969726 | + | 0.244194i | \(0.0785234\pi\) | ||||
−0.969726 | + | 0.244194i | \(0.921477\pi\) | |||||||
\(348\) | − | 1.74591i | − | 0.0935904i | ||||||
\(349\) | −7.46214 | −0.399439 | −0.199720 | − | 0.979853i | \(-0.564003\pi\) | ||||
−0.199720 | + | 0.979853i | \(0.564003\pi\) | |||||||
\(350\) | 9.64922 | + | 23.3311i | 0.515772 | + | 1.24710i | ||||
\(351\) | −6.49874 | −0.346877 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 3.97421i | − | 0.211526i | −0.994391 | − | 0.105763i | \(-0.966272\pi\) | ||
0.994391 | − | 0.105763i | \(-0.0337285\pi\) | |||||||
\(354\) | −2.40673 | −0.127916 | ||||||||
\(355\) | 1.40204 | − | 2.09706i | 0.0744123 | − | 0.111300i | ||||
\(356\) | 2.25721 | 0.119632 | ||||||||
\(357\) | − | 19.1200i | − | 1.01194i | ||||||
\(358\) | 30.4089i | 1.60716i | ||||||||
\(359\) | −3.80057 | −0.200587 | −0.100293 | − | 0.994958i | \(-0.531978\pi\) | ||||
−0.100293 | + | 0.994958i | \(0.531978\pi\) | |||||||
\(360\) | −0.653040 | − | 0.436604i | −0.0344183 | − | 0.0230111i | ||||
\(361\) | 23.1536 | 1.21861 | ||||||||
\(362\) | − | 6.28418i | − | 0.330289i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −30.5611 | −1.60184 | ||||||||
\(365\) | 13.4054 | + | 8.96248i | 0.701672 | + | 0.469117i | ||||
\(366\) | −2.85183 | −0.149068 | ||||||||
\(367\) | 16.8227i | 0.878136i | 0.898454 | + | 0.439068i | \(0.144691\pi\) | ||||
−0.898454 | + | 0.439068i | \(0.855309\pi\) | |||||||
\(368\) | − | 1.03131i | − | 0.0537610i | ||||||
\(369\) | 6.20447 | 0.322992 | ||||||||
\(370\) | −23.2120 | + | 34.7188i | −1.20674 | + | 1.80495i | ||||
\(371\) | −7.00327 | −0.363591 | ||||||||
\(372\) | − | 4.12574i | − | 0.213910i | ||||||
\(373\) | 17.2215i | 0.891695i | 0.895109 | + | 0.445847i | \(0.147098\pi\) | ||||
−0.895109 | + | 0.445847i | \(0.852902\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.19011 | − | 10.9637i | 0.113097 | − | 0.566165i | ||||
\(376\) | 0.385696 | 0.0198908 | ||||||||
\(377\) | − | 6.23328i | − | 0.321030i | ||||||
\(378\) | − | 5.04954i | − | 0.259721i | ||||||
\(379\) | −11.8166 | −0.606979 | −0.303489 | − | 0.952835i | \(-0.598152\pi\) | ||||
−0.303489 | + | 0.952835i | \(0.598152\pi\) | |||||||
\(380\) | 14.6876 | − | 21.9687i | 0.753459 | − | 1.12697i | ||||
\(381\) | 2.57117 | 0.131725 | ||||||||
\(382\) | 45.7801i | 2.34231i | ||||||||
\(383\) | − | 23.6487i | − | 1.20839i | −0.796836 | − | 0.604196i | \(-0.793494\pi\) | ||
0.796836 | − | 0.604196i | \(-0.206506\pi\) | |||||||
\(384\) | 2.79911 | 0.142842 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.8656 | 0.654841 | ||||||||
\(387\) | − | 6.88029i | − | 0.349745i | ||||||
\(388\) | 29.7525i | 1.51045i | ||||||||
\(389\) | −15.6832 | −0.795172 | −0.397586 | − | 0.917565i | \(-0.630152\pi\) | ||||
−0.397586 | + | 0.917565i | \(0.630152\pi\) | |||||||
\(390\) | 23.6118 | + | 15.7861i | 1.19563 | + | 0.799363i | ||||
\(391\) | −1.76388 | −0.0892032 | ||||||||
\(392\) | − | 0.114391i | − | 0.00577761i | ||||||
\(393\) | 10.8571i | 0.547669i | ||||||||
\(394\) | 41.0657 | 2.06886 | ||||||||
\(395\) | −19.8483 | + | 29.6877i | −0.998677 | + | 1.49375i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 31.3624i | − | 1.57403i | −0.616931 | − | 0.787017i | \(-0.711624\pi\) | ||
0.616931 | − | 0.787017i | \(-0.288376\pi\) | |||||||
\(398\) | 26.4162i | 1.32412i | ||||||||
\(399\) | −16.7735 | −0.839724 | ||||||||
\(400\) | 8.26883 | + | 19.9934i | 0.413441 | + | 0.999671i | ||||
\(401\) | −0.688812 | −0.0343976 | −0.0171988 | − | 0.999852i | \(-0.505475\pi\) | ||||
−0.0171988 | + | 0.999852i | \(0.505475\pi\) | |||||||
\(402\) | 0.757792i | 0.0377952i | ||||||||
\(403\) | − | 14.7298i | − | 0.733744i | ||||||
\(404\) | −8.32949 | −0.414408 | ||||||||
\(405\) | −1.24280 | + | 1.85889i | −0.0617551 | + | 0.0923688i | ||||
\(406\) | 4.84328 | 0.240368 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 2.59998i | − | 0.128718i | ||||||
\(409\) | −0.658627 | −0.0325670 | −0.0162835 | − | 0.999867i | \(-0.505183\pi\) | ||||
−0.0162835 | + | 0.999867i | \(0.505183\pi\) | |||||||
\(410\) | −22.5426 | − | 15.0713i | −1.11330 | − | 0.744320i | ||||
\(411\) | 4.24754 | 0.209516 | ||||||||
\(412\) | 17.8203i | 0.877943i | ||||||||
\(413\) | − | 3.18117i | − | 0.156535i | ||||||
\(414\) | −0.465837 | −0.0228946 | ||||||||
\(415\) | −17.4903 | − | 11.6935i | −0.858565 | − | 0.574012i | ||||
\(416\) | −50.3981 | −2.47097 | ||||||||
\(417\) | − | 3.96976i | − | 0.194400i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 17.1841 | 0.839500 | 0.419750 | − | 0.907640i | \(-0.362118\pi\) | ||||
0.419750 | + | 0.907640i | \(0.362118\pi\) | |||||||
\(420\) | −5.84440 | + | 8.74162i | −0.285177 | + | 0.426547i | ||||
\(421\) | −10.1935 | −0.496803 | −0.248401 | − | 0.968657i | \(-0.579905\pi\) | ||||
−0.248401 | + | 0.968657i | \(0.579905\pi\) | |||||||
\(422\) | − | 4.66094i | − | 0.226891i | ||||||
\(423\) | − | 1.09789i | − | 0.0533812i | ||||||
\(424\) | −0.952319 | −0.0462487 | ||||||||
\(425\) | 34.1952 | − | 14.1424i | 1.65871 | − | 0.686005i | ||||
\(426\) | 2.20498 | 0.106832 | ||||||||
\(427\) | − | 3.76950i | − | 0.182419i | ||||||
\(428\) | − | 25.6573i | − | 1.24019i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −16.7130 | + | 24.9980i | −0.805971 | + | 1.20551i | ||||
\(431\) | −6.36943 | −0.306805 | −0.153402 | − | 0.988164i | \(-0.549023\pi\) | ||||
−0.153402 | + | 0.988164i | \(0.549023\pi\) | |||||||
\(432\) | − | 4.32717i | − | 0.208191i | ||||||
\(433\) | − | 20.5086i | − | 0.985578i | −0.870149 | − | 0.492789i | \(-0.835977\pi\) | ||
0.870149 | − | 0.492789i | \(-0.164023\pi\) | |||||||
\(434\) | 11.4451 | 0.549383 | ||||||||
\(435\) | −1.78295 | − | 1.19203i | −0.0854861 | − | 0.0571535i | ||||
\(436\) | −14.9857 | −0.717684 | ||||||||
\(437\) | 1.54741i | 0.0740225i | ||||||||
\(438\) | 14.0953i | 0.673499i | ||||||||
\(439\) | −12.9144 | −0.616369 | −0.308185 | − | 0.951327i | \(-0.599721\pi\) | ||||
−0.308185 | + | 0.951327i | \(0.599721\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.325615 | −0.0155055 | ||||||||
\(442\) | 94.0064i | 4.47143i | ||||||||
\(443\) | − | 21.8544i | − | 1.03833i | −0.854673 | − | 0.519166i | \(-0.826243\pi\) | ||
0.854673 | − | 0.519166i | \(-0.173757\pi\) | |||||||
\(444\) | −17.3940 | −0.825484 | ||||||||
\(445\) | 1.54112 | − | 2.30510i | 0.0730563 | − | 0.109272i | ||||
\(446\) | 46.5698 | 2.20514 | ||||||||
\(447\) | 19.5740i | 0.925817i | ||||||||
\(448\) | − | 16.8011i | − | 0.793779i | ||||||
\(449\) | −8.88057 | −0.419100 | −0.209550 | − | 0.977798i | \(-0.567200\pi\) | ||||
−0.209550 | + | 0.977798i | \(0.567200\pi\) | |||||||
\(450\) | 9.03087 | − | 3.73496i | 0.425719 | − | 0.176068i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 4.06626i | − | 0.191261i | ||||||
\(453\) | − | 14.2646i | − | 0.670211i | ||||||
\(454\) | 42.8876 | 2.01281 | ||||||||
\(455\) | −20.8658 | + | 31.2095i | −0.978204 | + | 1.46313i | ||||
\(456\) | −2.28089 | −0.106813 | ||||||||
\(457\) | 26.4643i | 1.23795i | 0.785412 | + | 0.618974i | \(0.212451\pi\) | ||||
−0.785412 | + | 0.618974i | \(0.787549\pi\) | |||||||
\(458\) | − | 12.4674i | − | 0.582563i | ||||||
\(459\) | −7.40085 | −0.345442 | ||||||||
\(460\) | 0.806443 | + | 0.539165i | 0.0376006 | + | 0.0251387i | ||||
\(461\) | 32.2143 | 1.50037 | 0.750185 | − | 0.661228i | \(-0.229964\pi\) | ||||
0.750185 | + | 0.661228i | \(0.229964\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 22.7730i | 1.05835i | 0.848512 | + | 0.529177i | \(0.177499\pi\) | ||||
−0.848512 | + | 0.529177i | \(0.822501\pi\) | |||||||
\(464\) | 4.15041 | 0.192678 | ||||||||
\(465\) | −4.21328 | − | 2.81688i | −0.195386 | − | 0.130630i | ||||
\(466\) | 0.839795 | 0.0389028 | ||||||||
\(467\) | − | 15.2557i | − | 0.705947i | −0.935633 | − | 0.352974i | \(-0.885171\pi\) | ||
0.935633 | − | 0.352974i | \(-0.114829\pi\) | |||||||
\(468\) | 11.8294i | 0.546815i | ||||||||
\(469\) | −1.00163 | −0.0462511 | ||||||||
\(470\) | −2.66689 | + | 3.98894i | −0.123014 | + | 0.183996i | ||||
\(471\) | 15.1043 | 0.695969 | ||||||||
\(472\) | − | 0.432582i | − | 0.0199112i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −31.2155 | −1.43377 | ||||||||
\(475\) | −12.4067 | − | 29.9986i | −0.569260 | − | 1.37643i | ||||
\(476\) | −34.8034 | −1.59521 | ||||||||
\(477\) | 2.71078i | 0.124118i | ||||||||
\(478\) | − | 52.6247i | − | 2.40700i | ||||||
\(479\) | 18.8354 | 0.860609 | 0.430305 | − | 0.902684i | \(-0.358406\pi\) | ||||
0.430305 | + | 0.902684i | \(0.358406\pi\) | |||||||
\(480\) | −9.63796 | + | 14.4158i | −0.439911 | + | 0.657986i | ||||
\(481\) | −62.1005 | −2.83154 | ||||||||
\(482\) | − | 6.79203i | − | 0.309369i | ||||||
\(483\) | − | 0.615734i | − | 0.0280168i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 30.3838 | + | 20.3137i | 1.37966 | + | 0.922399i | ||||
\(486\) | −1.95455 | −0.0886601 | ||||||||
\(487\) | − | 7.90508i | − | 0.358213i | −0.983830 | − | 0.179107i | \(-0.942679\pi\) | ||
0.983830 | − | 0.179107i | \(-0.0573207\pi\) | |||||||
\(488\) | − | 0.512584i | − | 0.0232036i | ||||||
\(489\) | 2.40168 | 0.108608 | ||||||||
\(490\) | 1.18305 | + | 0.790953i | 0.0534448 | + | 0.0357316i | ||||
\(491\) | 12.3513 | 0.557407 | 0.278704 | − | 0.960377i | \(-0.410095\pi\) | ||||
0.278704 | + | 0.960377i | \(0.410095\pi\) | |||||||
\(492\) | − | 11.2938i | − | 0.509162i | ||||||
\(493\) | − | 7.09854i | − | 0.319702i | ||||||
\(494\) | 82.4694 | 3.71048 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 9.80781 | 0.440384 | ||||||||
\(497\) | 2.91450i | 0.130733i | ||||||||
\(498\) | − | 18.3904i | − | 0.824093i | ||||||
\(499\) | 24.7017 | 1.10580 | 0.552901 | − | 0.833247i | \(-0.313521\pi\) | ||||
0.552901 | + | 0.833247i | \(0.313521\pi\) | |||||||
\(500\) | −19.9569 | − | 3.98656i | −0.892498 | − | 0.178285i | ||||
\(501\) | −11.5799 | −0.517350 | ||||||||
\(502\) | 33.4274i | 1.49194i | ||||||||
\(503\) | − | 16.8245i | − | 0.750168i | −0.926991 | − | 0.375084i | \(-0.877614\pi\) | ||
0.926991 | − | 0.375084i | \(-0.122386\pi\) | |||||||
\(504\) | 0.907597 | 0.0404276 | ||||||||
\(505\) | −5.68703 | + | 8.50624i | −0.253069 | + | 0.378523i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 29.2336i | 1.29831i | ||||||||
\(508\) | − | 4.68019i | − | 0.207650i | ||||||
\(509\) | 16.4157 | 0.727613 | 0.363807 | − | 0.931474i | \(-0.381477\pi\) | ||||
0.363807 | + | 0.931474i | \(0.381477\pi\) | |||||||
\(510\) | 26.8894 | + | 17.9775i | 1.19068 | + | 0.796056i | ||||
\(511\) | −18.6309 | −0.824182 | ||||||||
\(512\) | − | 30.5171i | − | 1.34868i | ||||||
\(513\) | 6.49258i | 0.286654i | ||||||||
\(514\) | 8.07689 | 0.356256 | ||||||||
\(515\) | 18.1984 | + | 12.1669i | 0.801918 | + | 0.536140i | ||||
\(516\) | −12.5239 | −0.551335 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 48.2523i | − | 2.12009i | ||||||
\(519\) | 6.28112 | 0.275711 | ||||||||
\(520\) | −2.83738 | + | 4.24394i | −0.124427 | + | 0.186109i | ||||
\(521\) | −28.7296 | −1.25867 | −0.629333 | − | 0.777136i | \(-0.716672\pi\) | ||||
−0.629333 | + | 0.777136i | \(0.716672\pi\) | |||||||
\(522\) | − | 1.87471i | − | 0.0820538i | ||||||
\(523\) | 1.82441i | 0.0797758i | 0.999204 | + | 0.0398879i | \(0.0127001\pi\) | ||||
−0.999204 | + | 0.0398879i | \(0.987300\pi\) | |||||||
\(524\) | 19.7628 | 0.863341 | ||||||||
\(525\) | 4.93680 | + | 11.9368i | 0.215460 | + | 0.520965i | ||||
\(526\) | −38.0982 | −1.66116 | ||||||||
\(527\) | − | 16.7745i | − | 0.730709i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.9432 | 0.997530 | ||||||||
\(530\) | 6.58479 | − | 9.84904i | 0.286025 | − | 0.427815i | ||||
\(531\) | −1.23135 | −0.0534360 | ||||||||
\(532\) | 30.5321i | 1.32373i | ||||||||
\(533\) | − | 40.3213i | − | 1.74651i | ||||||
\(534\) | 2.42373 | 0.104885 | ||||||||
\(535\) | −26.2017 | − | 17.5177i | −1.13280 | − | 0.757356i | ||||
\(536\) | −0.136204 | −0.00588313 | ||||||||
\(537\) | 15.5580i | 0.671379i | ||||||||
\(538\) | − | 32.0329i | − | 1.38104i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 3.38366 | + | 2.26222i | 0.145609 | + | 0.0973503i | ||||
\(541\) | 18.6713 | 0.802741 | 0.401371 | − | 0.915916i | \(-0.368534\pi\) | ||||
0.401371 | + | 0.915916i | \(0.368534\pi\) | |||||||
\(542\) | − | 31.4347i | − | 1.35023i | ||||||
\(543\) | − | 3.21516i | − | 0.137976i | ||||||
\(544\) | −57.3940 | −2.46075 | ||||||||
\(545\) | −10.2316 | + | 15.3036i | −0.438273 | + | 0.655536i | ||||
\(546\) | −32.8157 | −1.40438 | ||||||||
\(547\) | − | 40.3544i | − | 1.72543i | −0.505689 | − | 0.862716i | \(-0.668762\pi\) | ||
0.505689 | − | 0.862716i | \(-0.331238\pi\) | |||||||
\(548\) | − | 7.73163i | − | 0.330279i | ||||||
\(549\) | −1.45908 | −0.0622718 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.22737 | −0.265295 | ||||||||
\(552\) | − | 0.0837288i | − | 0.00356373i | ||||||
\(553\) | − | 41.2600i | − | 1.75455i | ||||||
\(554\) | 35.1298 | 1.49252 | ||||||||
\(555\) | −11.8759 | + | 17.7631i | −0.504104 | + | 0.754002i | ||||
\(556\) | −7.22600 | −0.306451 | ||||||||
\(557\) | − | 18.8650i | − | 0.799336i | −0.916660 | − | 0.399668i | \(-0.869125\pi\) | ||
0.916660 | − | 0.399668i | \(-0.130875\pi\) | |||||||
\(558\) | − | 4.43011i | − | 0.187542i | ||||||
\(559\) | −44.7132 | −1.89117 | ||||||||
\(560\) | −20.7808 | − | 13.8934i | −0.878149 | − | 0.587105i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.7651i | 1.00247i | ||||||||
\(563\) | 17.7695i | 0.748894i | 0.927248 | + | 0.374447i | \(0.122167\pi\) | ||||
−0.927248 | + | 0.374447i | \(0.877833\pi\) | |||||||
\(564\) | −1.99844 | −0.0841497 | ||||||||
\(565\) | −4.15254 | − | 2.77627i | −0.174699 | − | 0.116798i | ||||
\(566\) | 11.8385 | 0.497608 | ||||||||
\(567\) | − | 2.58348i | − | 0.108496i | ||||||
\(568\) | 0.396320i | 0.0166292i | ||||||||
\(569\) | −9.61085 | −0.402908 | −0.201454 | − | 0.979498i | \(-0.564567\pi\) | ||||
−0.201454 | + | 0.979498i | \(0.564567\pi\) | |||||||
\(570\) | 15.7712 | − | 23.5894i | 0.660582 | − | 0.988050i | ||||
\(571\) | 25.7889 | 1.07923 | 0.539615 | − | 0.841912i | \(-0.318570\pi\) | ||||
0.539615 | + | 0.841912i | \(0.318570\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 23.4223i | 0.978481i | ||||||||
\(574\) | 31.3298 | 1.30768 | ||||||||
\(575\) | 1.10121 | − | 0.455436i | 0.0459236 | − | 0.0189930i | ||||
\(576\) | −6.50329 | −0.270970 | ||||||||
\(577\) | 12.4401i | 0.517888i | 0.965892 | + | 0.258944i | \(0.0833745\pi\) | ||||
−0.965892 | + | 0.258944i | \(0.916626\pi\) | |||||||
\(578\) | 73.8284i | 3.07086i | ||||||||
\(579\) | 6.58238 | 0.273554 | ||||||||
\(580\) | −2.16981 | + | 3.24544i | −0.0900964 | + | 0.134760i | ||||
\(581\) | 24.3080 | 1.00847 | ||||||||
\(582\) | 31.9474i | 1.32426i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −2.53347 | −0.104836 | ||||||||
\(585\) | 12.0804 | + | 8.07662i | 0.499464 | + | 0.333927i | ||||
\(586\) | −42.9553 | −1.77447 | ||||||||
\(587\) | − | 24.3064i | − | 1.00323i | −0.865090 | − | 0.501616i | \(-0.832739\pi\) | ||
0.865090 | − | 0.501616i | \(-0.167261\pi\) | |||||||
\(588\) | 0.592704i | 0.0244427i | ||||||||
\(589\) | −14.7159 | −0.606356 | ||||||||
\(590\) | 4.47384 | + | 2.99108i | 0.184185 | + | 0.123141i | ||||
\(591\) | 21.0103 | 0.864250 | ||||||||
\(592\) | − | 41.3495i | − | 1.69945i | ||||||
\(593\) | 0.0251833i | 0.00103415i | 1.00000 | 0.000517077i | \(0.000164591\pi\) | |||||
−1.00000 | 0.000517077i | \(0.999835\pi\) | ||||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.7623 | + | 35.5418i | −0.974158 | + | 1.45707i | ||||
\(596\) | 35.6298 | 1.45945 | ||||||||
\(597\) | 13.5152i | 0.553141i | ||||||||
\(598\) | 3.02735i | 0.123798i | ||||||||
\(599\) | 0.751819 | 0.0307185 | 0.0153593 | − | 0.999882i | \(-0.495111\pi\) | ||||
0.0153593 | + | 0.999882i | \(0.495111\pi\) | |||||||
\(600\) | 0.671317 | + | 1.62319i | 0.0274064 | + | 0.0662666i | ||||
\(601\) | −9.36785 | −0.382122 | −0.191061 | − | 0.981578i | \(-0.561193\pi\) | ||||
−0.191061 | + | 0.981578i | \(0.561193\pi\) | |||||||
\(602\) | − | 34.7423i | − | 1.41599i | ||||||
\(603\) | 0.387707i | 0.0157886i | ||||||||
\(604\) | −25.9653 | −1.05652 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −8.94399 | −0.363325 | ||||||||
\(607\) | 6.36218i | 0.258233i | 0.991629 | + | 0.129117i | \(0.0412141\pi\) | ||||
−0.991629 | + | 0.129117i | \(0.958786\pi\) | |||||||
\(608\) | 50.3503i | 2.04197i | ||||||||
\(609\) | 2.47795 | 0.100412 | ||||||||
\(610\) | 5.30123 | + | 3.54425i | 0.214641 | + | 0.143503i | ||||
\(611\) | −7.13489 | −0.288647 | ||||||||
\(612\) | 13.4715i | 0.544553i | ||||||||
\(613\) | 25.4560i | 1.02816i | 0.857743 | + | 0.514079i | \(0.171866\pi\) | ||||
−0.857743 | + | 0.514079i | \(0.828134\pi\) | |||||||
\(614\) | −42.2264 | −1.70412 | ||||||||
\(615\) | −11.5334 | − | 7.71090i | −0.465072 | − | 0.310934i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 36.7432i | 1.47923i | 0.673033 | + | 0.739613i | \(0.264991\pi\) | ||||
−0.673033 | + | 0.739613i | \(0.735009\pi\) | |||||||
\(618\) | 19.1350i | 0.769721i | ||||||||
\(619\) | −28.8705 | −1.16040 | −0.580201 | − | 0.814473i | \(-0.697026\pi\) | ||||
−0.580201 | + | 0.814473i | \(0.697026\pi\) | |||||||
\(620\) | −5.12746 | + | 7.66928i | −0.205924 | + | 0.308006i | ||||
\(621\) | −0.238335 | −0.00956404 | ||||||||
\(622\) | − | 51.3791i | − | 2.06011i | ||||||
\(623\) | 3.20363i | 0.128351i | ||||||||
\(624\) | −28.1212 | −1.12575 | ||||||||
\(625\) | −17.6969 | + | 17.6585i | −0.707874 | + | 0.706339i | ||||
\(626\) | −18.7370 | −0.748883 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 27.4938i | − | 1.09712i | ||||||
\(629\) | −70.7209 | −2.81983 | ||||||||
\(630\) | −6.27556 | + | 9.38652i | −0.250024 | + | 0.373968i | ||||
\(631\) | −15.7443 | −0.626771 | −0.313385 | − | 0.949626i | \(-0.601463\pi\) | ||||
−0.313385 | + | 0.949626i | \(0.601463\pi\) | |||||||
\(632\) | − | 5.61062i | − | 0.223179i | ||||||
\(633\) | − | 2.38466i | − | 0.0947819i | ||||||
\(634\) | 63.8272 | 2.53490 | ||||||||
\(635\) | −4.77950 | − | 3.19544i | −0.189669 | − | 0.126807i | ||||
\(636\) | 4.93434 | 0.195659 | ||||||||
\(637\) | 2.11609i | 0.0838424i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.12813 | 0.0446281 | ||||||||
\(640\) | −5.20323 | − | 3.47873i | −0.205676 | − | 0.137509i | ||||
\(641\) | −2.28951 | −0.0904303 | −0.0452151 | − | 0.998977i | \(-0.514397\pi\) | ||||
−0.0452151 | + | 0.998977i | \(0.514397\pi\) | |||||||
\(642\) | − | 27.5501i | − | 1.08732i | ||||||
\(643\) | − | 3.38323i | − | 0.133422i | −0.997772 | − | 0.0667109i | \(-0.978749\pi\) | ||
0.997772 | − | 0.0667109i | \(-0.0212505\pi\) | |||||||
\(644\) | −1.12080 | −0.0441656 | ||||||||
\(645\) | −8.55080 | + | 12.7897i | −0.336688 | + | 0.503593i | ||||
\(646\) | 93.9173 | 3.69513 | ||||||||
\(647\) | 48.8823i | 1.92176i | 0.276962 | + | 0.960881i | \(0.410672\pi\) | ||||
−0.276962 | + | 0.960881i | \(0.589328\pi\) | |||||||
\(648\) | − | 0.351308i | − | 0.0138007i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −24.2726 | − | 58.6893i | −0.952048 | − | 2.30198i | ||||
\(651\) | 5.85563 | 0.229500 | ||||||||
\(652\) | − | 4.37168i | − | 0.171208i | ||||||
\(653\) | 8.51472i | 0.333207i | 0.986024 | + | 0.166603i | \(0.0532799\pi\) | ||||
−0.986024 | + | 0.166603i | \(0.946720\pi\) | |||||||
\(654\) | −16.0912 | −0.629216 | ||||||||
\(655\) | 13.4932 | − | 20.1821i | 0.527223 | − | 0.788581i | ||||
\(656\) | 26.8478 | 1.04823 | ||||||||
\(657\) | 7.21153i | 0.281349i | ||||||||
\(658\) | − | 5.54384i | − | 0.216121i | ||||||
\(659\) | −43.5482 | −1.69640 | −0.848198 | − | 0.529679i | \(-0.822312\pi\) | ||||
−0.848198 | + | 0.529679i | \(0.822312\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −28.1314 | −1.09419 | −0.547093 | − | 0.837072i | \(-0.684266\pi\) | ||||
−0.547093 | + | 0.837072i | \(0.684266\pi\) | |||||||
\(662\) | 4.70800i | 0.182982i | ||||||||
\(663\) | 48.0962i | 1.86790i | ||||||||
\(664\) | 3.30546 | 0.128277 | ||||||||
\(665\) | 31.1800 | + | 20.8460i | 1.20911 | + | 0.808374i | ||||
\(666\) | −18.6772 | −0.723728 | ||||||||
\(667\) | − | 0.228599i | − | 0.00885139i | ||||||
\(668\) | 21.0784i | 0.815547i | ||||||||
\(669\) | 23.8264 | 0.921180 | ||||||||
\(670\) | 0.941782 | − | 1.40865i | 0.0363842 | − | 0.0544208i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 20.0350i | − | 0.772869i | ||||||
\(673\) | − | 26.0789i | − | 1.00527i | −0.864499 | − | 0.502634i | \(-0.832364\pi\) | ||
0.864499 | − | 0.502634i | \(-0.167636\pi\) | |||||||
\(674\) | 51.0966 | 1.96817 | ||||||||
\(675\) | 4.62044 | − | 1.91091i | 0.177841 | − | 0.0735509i | ||||
\(676\) | 53.2128 | 2.04665 | ||||||||
\(677\) | 7.81201i | 0.300240i | 0.988668 | + | 0.150120i | \(0.0479660\pi\) | ||||
−0.988668 | + | 0.150120i | \(0.952034\pi\) | |||||||
\(678\) | − | 4.36624i | − | 0.167684i | ||||||
\(679\) | −42.2275 | −1.62054 | ||||||||
\(680\) | −3.23124 | + | 4.83306i | −0.123912 | + | 0.185339i | ||||
\(681\) | 21.9425 | 0.840837 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 21.1860i | − | 0.810660i | −0.914170 | − | 0.405330i | \(-0.867157\pi\) | ||
0.914170 | − | 0.405330i | \(-0.132843\pi\) | |||||||
\(684\) | 11.8182 | 0.451880 | ||||||||
\(685\) | −7.89569 | − | 5.27883i | −0.301679 | − | 0.201694i | ||||
\(686\) | −36.9910 | −1.41232 | ||||||||
\(687\) | − | 6.37865i | − | 0.243361i | ||||||
\(688\) | − | 29.7722i | − | 1.13505i | ||||||
\(689\) | 17.6167 | 0.671142 | ||||||||
\(690\) | 0.865937 | + | 0.578941i | 0.0329657 | + | 0.0220399i | ||||
\(691\) | 25.8352 | 0.982819 | 0.491409 | − | 0.870929i | \(-0.336482\pi\) | ||||
0.491409 | + | 0.870929i | \(0.336482\pi\) | |||||||
\(692\) | − | 11.4333i | − | 0.434628i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 17.7818 | 0.674989 | ||||||||
\(695\) | −4.93361 | + | 7.37933i | −0.187142 | + | 0.279914i | ||||
\(696\) | 0.336957 | 0.0127723 | ||||||||
\(697\) | − | 45.9184i | − | 1.73928i | ||||||
\(698\) | 14.5851i | 0.552055i | ||||||||
\(699\) | 0.429662 | 0.0162513 | ||||||||
\(700\) | 21.7281 | − | 8.98627i | 0.821246 | − | 0.339649i | ||||
\(701\) | 27.4774 | 1.03781 | 0.518903 | − | 0.854833i | \(-0.326341\pi\) | ||||
0.518903 | + | 0.854833i | \(0.326341\pi\) | |||||||
\(702\) | 12.7021i | 0.479410i | ||||||||
\(703\) | 62.0417i | 2.33995i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.36445 | + | 2.04085i | −0.0513883 | + | 0.0768628i | ||||
\(706\) | −7.76779 | −0.292344 | ||||||||
\(707\) | − | 11.8220i | − | 0.444612i | ||||||
\(708\) | 2.24138i | 0.0842361i | ||||||||
\(709\) | 26.2605 | 0.986234 | 0.493117 | − | 0.869963i | \(-0.335858\pi\) | ||||
0.493117 | + | 0.869963i | \(0.335858\pi\) | |||||||
\(710\) | −4.09881 | − | 2.74035i | −0.153826 | − | 0.102843i | ||||
\(711\) | −15.9707 | −0.598947 | ||||||||
\(712\) | 0.435637i | 0.0163262i | ||||||||
\(713\) | − | 0.540201i | − | 0.0202307i | ||||||
\(714\) | −37.3709 | −1.39857 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 28.3197 | 1.05836 | ||||||||
\(717\) | − | 26.9242i | − | 1.00550i | ||||||
\(718\) | 7.42841i | 0.277226i | ||||||||
\(719\) | 2.71918 | 0.101408 | 0.0507042 | − | 0.998714i | \(-0.483853\pi\) | ||||
0.0507042 | + | 0.998714i | \(0.483853\pi\) | |||||||
\(720\) | −5.37780 | + | 8.04371i | −0.200419 | + | 0.299772i | ||||
\(721\) | −25.2922 | −0.941931 | ||||||||
\(722\) | − | 45.2549i | − | 1.68421i | ||||||
\(723\) | − | 3.47499i | − | 0.129236i | ||||||
\(724\) | −5.85243 | −0.217504 | ||||||||
\(725\) | 1.83285 | + | 4.43170i | 0.0680704 | + | 0.164589i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 42.5803i | − | 1.57921i | −0.613612 | − | 0.789607i | \(-0.710284\pi\) | ||
0.613612 | − | 0.789607i | \(-0.289716\pi\) | |||||||
\(728\) | − | 5.89824i | − | 0.218603i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 17.5176 | − | 26.2015i | 0.648355 | − | 0.969763i | ||||
\(731\) | −50.9200 | −1.88334 | ||||||||
\(732\) | 2.65590i | 0.0981648i | ||||||||
\(733\) | − | 11.8982i | − | 0.439469i | −0.975560 | − | 0.219735i | \(-0.929481\pi\) | ||
0.975560 | − | 0.219735i | \(-0.0705192\pi\) | |||||||
\(734\) | 32.8807 | 1.21365 | ||||||||
\(735\) | 0.605280 | + | 0.404673i | 0.0223261 | + | 0.0149266i | ||||
\(736\) | −1.84830 | −0.0681292 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 12.1269i | − | 0.446399i | ||||||
\(739\) | −0.988378 | −0.0363581 | −0.0181790 | − | 0.999835i | \(-0.505787\pi\) | ||||
−0.0181790 | + | 0.999835i | \(0.505787\pi\) | |||||||
\(740\) | 32.3335 | + | 21.6172i | 1.18860 | + | 0.794666i | ||||
\(741\) | 42.1936 | 1.55002 | ||||||||
\(742\) | 13.6882i | 0.502511i | ||||||||
\(743\) | − | 37.8316i | − | 1.38791i | −0.720019 | − | 0.693954i | \(-0.755867\pi\) | ||
0.720019 | − | 0.693954i | \(-0.244133\pi\) | |||||||
\(744\) | 0.796261 | 0.0291924 | ||||||||
\(745\) | 24.3265 | − | 36.3858i | 0.891254 | − | 1.33307i | ||||
\(746\) | 33.6602 | 1.23239 | ||||||||
\(747\) | − | 9.40902i | − | 0.344258i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 36.4151 | 1.33058 | ||||||||
\(750\) | −21.4292 | − | 4.28067i | −0.782482 | − | 0.156308i | ||||
\(751\) | 24.8787 | 0.907838 | 0.453919 | − | 0.891043i | \(-0.350026\pi\) | ||||
0.453919 | + | 0.891043i | \(0.350026\pi\) | |||||||
\(752\) | − | 4.75075i | − | 0.173242i | ||||||
\(753\) | 17.1024i | 0.623244i | ||||||||
\(754\) | −12.1832 | −0.443688 | ||||||||
\(755\) | −17.7280 | + | 26.5163i | −0.645189 | + | 0.965027i | ||||
\(756\) | −4.70262 | −0.171032 | ||||||||
\(757\) | − | 33.1405i | − | 1.20451i | −0.798303 | − | 0.602256i | \(-0.794268\pi\) | ||
0.798303 | − | 0.602256i | \(-0.205732\pi\) | |||||||
\(758\) | 23.0961i | 0.838890i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.23992 | + | 2.83469i | 0.153798 | + | 0.102825i | ||||
\(761\) | 24.6526 | 0.893656 | 0.446828 | − | 0.894620i | \(-0.352554\pi\) | ||||
0.446828 | + | 0.894620i | \(0.352554\pi\) | |||||||
\(762\) | − | 5.02547i | − | 0.182053i | ||||||
\(763\) | − | 21.2690i | − | 0.769991i | ||||||
\(764\) | 42.6347 | 1.54247 | ||||||||
\(765\) | 13.7573 | + | 9.19776i | 0.497397 | + | 0.332546i | ||||
\(766\) | −46.2226 | −1.67009 | ||||||||
\(767\) | 8.00221i | 0.288943i | ||||||||
\(768\) | − | 18.4776i | − | 0.666752i | ||||||
\(769\) | −34.6974 | −1.25122 | −0.625611 | − | 0.780135i | \(-0.715150\pi\) | ||||
−0.625611 | + | 0.780135i | \(0.715150\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.13235 | 0.148823 | ||||||||
\(772\) | − | 11.9816i | − | 0.431229i | ||||||
\(773\) | 21.4275i | 0.770692i | 0.922772 | + | 0.385346i | \(0.125918\pi\) | ||||
−0.922772 | + | 0.385346i | \(0.874082\pi\) | |||||||
\(774\) | −13.4479 | −0.483373 | ||||||||
\(775\) | 4.33120 | + | 10.4725i | 0.155581 | + | 0.376184i | ||||
\(776\) | −5.74218 | −0.206132 | ||||||||
\(777\) | − | 24.6872i | − | 0.885648i | ||||||
\(778\) | 30.6537i | 1.09899i | ||||||||
\(779\) | −40.2830 | −1.44329 | ||||||||
\(780\) | 14.7016 | − | 21.9895i | 0.526400 | − | 0.787351i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 3.44759i | 0.123286i | ||||||||
\(783\) | − | 0.959152i | − | 0.0342773i | ||||||
\(784\) | −1.40899 | −0.0503211 | ||||||||
\(785\) | −28.0771 | − | 18.7716i | −1.00212 | − | 0.669986i | ||||
\(786\) | 21.2208 | 0.756919 | ||||||||
\(787\) | 23.1809i | 0.826311i | 0.910660 | + | 0.413156i | \(0.135573\pi\) | ||||
−0.910660 | + | 0.413156i | \(0.864427\pi\) | |||||||
\(788\) | − | 38.2443i | − | 1.36240i | ||||||
\(789\) | −19.4921 | −0.693936 | ||||||||
\(790\) | 58.0260 | + | 38.7945i | 2.06447 | + | 1.38025i | ||||
\(791\) | 5.77121 | 0.205200 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.48215i | 0.336721i | ||||||||
\(794\) | −61.2994 | −2.17543 | ||||||||
\(795\) | 3.36896 | − | 5.03904i | 0.119485 | − | 0.178716i | ||||
\(796\) | 24.6012 | 0.871968 | ||||||||
\(797\) | − | 4.75686i | − | 0.168497i | −0.996445 | − | 0.0842483i | \(-0.973151\pi\) | ||
0.996445 | − | 0.0842483i | \(-0.0268489\pi\) | |||||||
\(798\) | 32.7846i | 1.16056i | ||||||||
\(799\) | −8.12531 | −0.287453 | ||||||||
\(800\) | 35.8317 | − | 14.8192i | 1.26684 | − | 0.523938i | ||||
\(801\) | 1.24004 | 0.0438148 | ||||||||
\(802\) | 1.34632i | 0.0475401i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.705728 | 0.0248891 | ||||||||
\(805\) | −0.765232 | + | 1.14458i | −0.0269709 | + | 0.0403411i | ||||
\(806\) | −28.7901 | −1.01409 | ||||||||
\(807\) | − | 16.3889i | − | 0.576917i | ||||||
\(808\) | − | 1.60758i | − | 0.0565544i | ||||||
\(809\) | −34.5754 | −1.21561 | −0.607804 | − | 0.794087i | \(-0.707949\pi\) | ||||
−0.607804 | + | 0.794087i | \(0.707949\pi\) | |||||||
\(810\) | 3.63328 | + | 2.42911i | 0.127661 | + | 0.0853502i | ||||
\(811\) | 45.9198 | 1.61246 | 0.806231 | − | 0.591601i | \(-0.201504\pi\) | ||||
0.806231 | + | 0.591601i | \(0.201504\pi\) | |||||||
\(812\) | − | 4.51052i | − | 0.158288i | ||||||
\(813\) | − | 16.0828i | − | 0.564049i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.46445 | − | 2.98480i | −0.156383 | − | 0.104553i | ||||
\(816\) | −32.0248 | −1.12109 | ||||||||
\(817\) | 44.6708i | 1.56283i | ||||||||
\(818\) | 1.28732i | 0.0450100i | ||||||||
\(819\) | −16.7894 | −0.586669 | ||||||||
\(820\) | −14.0359 | + | 20.9938i | −0.490153 | + | 0.733136i | ||||
\(821\) | 8.62880 | 0.301147 | 0.150574 | − | 0.988599i | \(-0.451888\pi\) | ||||
0.150574 | + | 0.988599i | \(0.451888\pi\) | |||||||
\(822\) | − | 8.30203i | − | 0.289566i | ||||||
\(823\) | 37.8023i | 1.31771i | 0.752272 | + | 0.658853i | \(0.228958\pi\) | ||||
−0.752272 | + | 0.658853i | \(0.771042\pi\) | |||||||
\(824\) | −3.43929 | −0.119813 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.21775 | −0.216343 | ||||||||
\(827\) | − | 42.9110i | − | 1.49216i | −0.665856 | − | 0.746080i | \(-0.731933\pi\) | ||
0.665856 | − | 0.746080i | \(-0.268067\pi\) | |||||||
\(828\) | 0.433831i | 0.0150767i | ||||||||
\(829\) | −13.4263 | −0.466314 | −0.233157 | − | 0.972439i | \(-0.574906\pi\) | ||||
−0.233157 | + | 0.972439i | \(0.574906\pi\) | |||||||
\(830\) | −22.8555 | + | 34.1856i | −0.793327 | + | 1.18660i | ||||
\(831\) | 17.9734 | 0.623489 | ||||||||
\(832\) | 42.2632i | 1.46521i | ||||||||
\(833\) | 2.40983i | 0.0834955i | ||||||||
\(834\) | −7.75909 | −0.268675 | ||||||||
\(835\) | 21.5256 | + | 14.3914i | 0.744925 | + | 0.498036i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 2.26656i | − | 0.0783439i | ||||||
\(838\) | − | 33.5872i | − | 1.16025i | ||||||
\(839\) | 35.8411 | 1.23737 | 0.618686 | − | 0.785638i | \(-0.287665\pi\) | ||||
0.618686 | + | 0.785638i | \(0.287665\pi\) | |||||||
\(840\) | −1.68712 | − | 1.12796i | −0.0582111 | − | 0.0389183i | ||||
\(841\) | −28.0800 | −0.968277 | ||||||||
\(842\) | 19.9238i | 0.686619i | ||||||||
\(843\) | 12.1589i | 0.418774i | ||||||||
\(844\) | −4.34071 | −0.149414 | ||||||||
\(845\) | 36.3315 | − | 54.3420i | 1.24984 | − | 1.86942i | ||||
\(846\) | −2.14588 | −0.0737767 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 11.7300i | 0.402811i | ||||||||
\(849\) | 6.05689 | 0.207872 | ||||||||
\(850\) | −27.6419 | − | 66.8361i | −0.948110 | − | 2.29246i | ||||
\(851\) | −2.27747 | −0.0780708 | ||||||||
\(852\) | − | 2.05349i | − | 0.0703514i | ||||||
\(853\) | − | 0.121697i | − | 0.00416684i | −0.999998 | − | 0.00208342i | \(-0.999337\pi\) | ||
0.999998 | − | 0.00208342i | \(-0.000663173\pi\) | |||||||
\(854\) | −7.36766 | −0.252116 | ||||||||
\(855\) | 8.06896 | − | 12.0690i | 0.275953 | − | 0.412750i | ||||
\(856\) | 4.95181 | 0.169249 | ||||||||
\(857\) | − | 25.4338i | − | 0.868801i | −0.900720 | − | 0.434401i | \(-0.856960\pi\) | ||
0.900720 | − | 0.434401i | \(-0.143040\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.5202 | −1.21193 | −0.605967 | − | 0.795490i | \(-0.707214\pi\) | ||||
−0.605967 | + | 0.795490i | \(0.707214\pi\) | |||||||
\(860\) | 23.2805 | + | 15.5647i | 0.793860 | + | 0.530752i | ||||
\(861\) | 16.0292 | 0.546272 | ||||||||
\(862\) | 12.4494i | 0.424027i | ||||||||
\(863\) | 11.1259i | 0.378731i | 0.981907 | + | 0.189365i | \(0.0606430\pi\) | ||||
−0.981907 | + | 0.189365i | \(0.939357\pi\) | |||||||
\(864\) | −7.75505 | −0.263832 | ||||||||
\(865\) | −11.6759 | − | 7.80616i | −0.396992 | − | 0.265418i | ||||
\(866\) | −40.0850 | −1.36214 | ||||||||
\(867\) | 37.7726i | 1.28283i | ||||||||
\(868\) | − | 10.6588i | − | 0.361783i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −2.32988 | + | 3.48487i | −0.0789905 | + | 0.118148i | ||||
\(871\) | 2.51961 | 0.0853736 | ||||||||
\(872\) | − | 2.89221i | − | 0.0979426i | ||||||
\(873\) | 16.3452i | 0.553200i | ||||||||
\(874\) | 3.02448 | 0.102305 | ||||||||
\(875\) | 5.65810 | − | 28.3246i | 0.191279 | − | 0.957547i | ||||
\(876\) | 13.1269 | 0.443516 | ||||||||
\(877\) | 25.6366i | 0.865685i | 0.901469 | + | 0.432843i | \(0.142489\pi\) | ||||
−0.901469 | + | 0.432843i | \(0.857511\pi\) | |||||||
\(878\) | 25.2418i | 0.851869i | ||||||||
\(879\) | −21.9771 | −0.741268 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 39.6504 | 1.33586 | 0.667928 | − | 0.744226i | \(-0.267182\pi\) | ||||
0.667928 | + | 0.744226i | \(0.267182\pi\) | |||||||
\(882\) | 0.636430i | 0.0214297i | ||||||||
\(883\) | − | 5.99439i | − | 0.201727i | −0.994900 | − | 0.100864i | \(-0.967839\pi\) | ||
0.994900 | − | 0.100864i | \(-0.0321606\pi\) | |||||||
\(884\) | 87.5477 | 2.94455 | ||||||||
\(885\) | 2.28894 | + | 1.53032i | 0.0769417 | + | 0.0514410i | ||||
\(886\) | −42.7154 | −1.43505 | ||||||||
\(887\) | − | 9.12613i | − | 0.306426i | −0.988193 | − | 0.153213i | \(-0.951038\pi\) | ||
0.988193 | − | 0.153213i | \(-0.0489620\pi\) | |||||||
\(888\) | − | 3.35702i | − | 0.112654i | ||||||
\(889\) | 6.64256 | 0.222784 | ||||||||
\(890\) | −4.50543 | − | 3.01220i | −0.151022 | − | 0.100969i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 43.3702i | − | 1.45214i | ||||||
\(893\) | 7.12813i | 0.238534i | ||||||||
\(894\) | 38.2583 | 1.27955 | ||||||||
\(895\) | 19.3355 | − | 28.9206i | 0.646314 | − | 0.966709i | ||||
\(896\) | 7.23146 | 0.241586 | ||||||||
\(897\) | 1.54887i | 0.0517154i | ||||||||
\(898\) | 17.3575i | 0.579227i | ||||||||
\(899\) | 2.17398 | 0.0725063 | ||||||||
\(900\) | −3.47835 | − | 8.41040i | −0.115945 | − | 0.280347i | ||||
\(901\) | 20.0621 | 0.668366 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 17.7751i | − | 0.591519i | ||||||
\(904\) | 0.784781 | 0.0261014 | ||||||||
\(905\) | −3.99579 | + | 5.97661i | −0.132825 | + | 0.198669i | ||||
\(906\) | −27.8809 | −0.926281 | ||||||||
\(907\) | 5.84020i | 0.193921i | 0.995288 | + | 0.0969603i | \(0.0309120\pi\) | ||||
−0.995288 | + | 0.0969603i | \(0.969088\pi\) | |||||||
\(908\) | − | 39.9410i | − | 1.32549i | ||||||
\(909\) | −4.57599 | −0.151776 | ||||||||
\(910\) | 61.0006 | + | 40.7832i | 2.02215 | + | 1.35195i | ||||
\(911\) | 7.77868 | 0.257719 | 0.128860 | − | 0.991663i | \(-0.458868\pi\) | ||||
0.128860 | + | 0.991663i | \(0.458868\pi\) | |||||||
\(912\) | 28.0945i | 0.930302i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 51.7258 | 1.71094 | ||||||||
\(915\) | 2.71225 | + | 1.81333i | 0.0896643 | + | 0.0599470i | ||||
\(916\) | −11.6108 | −0.383632 | ||||||||
\(917\) | 28.0492i | 0.926265i | ||||||||
\(918\) | 14.4653i | 0.477427i | ||||||||
\(919\) | −27.9017 | −0.920391 | −0.460196 | − | 0.887817i | \(-0.652221\pi\) | ||||
−0.460196 | + | 0.887817i | \(0.652221\pi\) | |||||||
\(920\) | −0.104058 | + | 0.155642i | −0.00343069 | + | 0.00513137i | ||||
\(921\) | −21.6041 | −0.711881 | ||||||||
\(922\) | − | 62.9645i | − | 2.07362i | ||||||
\(923\) | − | 7.33141i | − | 0.241316i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 44.1519 | − | 18.2602i | 1.45170 | − | 0.600393i | ||||
\(926\) | 44.5110 | 1.46272 | ||||||||
\(927\) | 9.78997i | 0.321545i | ||||||||
\(928\) | − | 7.43827i | − | 0.244173i | ||||||
\(929\) | −14.1003 | −0.462617 | −0.231309 | − | 0.972880i | \(-0.574301\pi\) | ||||
−0.231309 | + | 0.972880i | \(0.574301\pi\) | |||||||
\(930\) | −5.50573 | + | 8.23507i | −0.180540 | + | 0.270039i | ||||
\(931\) | 2.11408 | 0.0692862 | ||||||||
\(932\) | − | 0.782097i | − | 0.0256184i | ||||||
\(933\) | − | 26.2869i | − | 0.860596i | ||||||
\(934\) | −29.8179 | −0.975672 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.28306 | −0.0746240 | ||||||||
\(937\) | − | 50.8079i | − | 1.65982i | −0.557897 | − | 0.829910i | \(-0.688392\pi\) | ||
0.557897 | − | 0.829910i | \(-0.311608\pi\) | |||||||
\(938\) | 1.95774i | 0.0639225i | ||||||||
\(939\) | −9.58638 | −0.312840 | ||||||||
\(940\) | 3.71488 | + | 2.48366i | 0.121166 | + | 0.0810081i | ||||
\(941\) | 7.04108 | 0.229533 | 0.114766 | − | 0.993393i | \(-0.463388\pi\) | ||||
0.114766 | + | 0.993393i | \(0.463388\pi\) | |||||||
\(942\) | − | 29.5221i | − | 0.961881i | ||||||
\(943\) | − | 1.47874i | − | 0.0481544i | ||||||
\(944\) | −5.32826 | −0.173420 | ||||||||
\(945\) | −3.21075 | + | 4.80240i | −0.104446 | + | 0.156222i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 18.9648i | − | 0.616273i | −0.951342 | − | 0.308137i | \(-0.900295\pi\) | ||
0.951342 | − | 0.308137i | \(-0.0997054\pi\) | |||||||
\(948\) | 29.0708i | 0.944176i | ||||||||
\(949\) | 46.8659 | 1.52133 | ||||||||
\(950\) | −58.6336 | + | 24.2496i | −1.90233 | + | 0.786760i | ||||
\(951\) | 32.6557 | 1.05893 | ||||||||
\(952\) | − | 6.71699i | − | 0.217699i | ||||||
\(953\) | − | 4.45198i | − | 0.144214i | −0.997397 | − | 0.0721069i | \(-0.977028\pi\) | ||
0.997397 | − | 0.0721069i | \(-0.0229723\pi\) | |||||||
\(954\) | 5.29836 | 0.171541 | ||||||||
\(955\) | 29.1092 | − | 43.5394i | 0.941951 | − | 1.40890i | ||||
\(956\) | −49.0091 | −1.58507 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 36.8146i | − | 1.18943i | ||||||
\(959\) | 10.9734 | 0.354351 | ||||||||
\(960\) | 12.0889 | + | 8.08227i | 0.390166 | + | 0.260854i | ||||
\(961\) | −25.8627 | −0.834280 | ||||||||
\(962\) | 121.379i | 3.91340i | ||||||||
\(963\) | − | 14.0954i | − | 0.454217i | ||||||
\(964\) | −6.32538 | −0.203727 | ||||||||
\(965\) | −12.2359 | − | 8.18056i | −0.393887 | − | 0.263342i | ||||
\(966\) | −1.20348 | −0.0387214 | ||||||||
\(967\) | 7.49675i | 0.241079i | 0.992709 | + | 0.120540i | \(0.0384625\pi\) | ||||
−0.992709 | + | 0.120540i | \(0.961538\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 48.0506 | 1.54361 | ||||||||
\(970\) | 39.7042 | − | 59.3866i | 1.27482 | − | 1.90679i | ||||
\(971\) | 55.0012 | 1.76507 | 0.882537 | − | 0.470244i | \(-0.155834\pi\) | ||||
0.882537 | + | 0.470244i | \(0.155834\pi\) | |||||||
\(972\) | 1.82026i | 0.0583849i | ||||||||
\(973\) | − | 10.2558i | − | 0.328786i | ||||||
\(974\) | −15.4509 | −0.495078 | ||||||||
\(975\) | −12.4185 | − | 30.0270i | −0.397710 | − | 0.961634i | ||||
\(976\) | −6.31367 | −0.202096 | ||||||||
\(977\) | − | 4.70635i | − | 0.150569i | −0.997162 | − | 0.0752847i | \(-0.976013\pi\) | ||
0.997162 | − | 0.0752847i | \(-0.0239865\pi\) | |||||||
\(978\) | − | 4.69420i | − | 0.150104i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0.736611 | − | 1.10177i | 0.0235302 | − | 0.0351947i | ||||
\(981\) | −8.23270 | −0.262850 | ||||||||
\(982\) | − | 24.1413i | − | 0.770379i | ||||||
\(983\) | − | 50.5723i | − | 1.61301i | −0.591230 | − | 0.806503i | \(-0.701357\pi\) | ||
0.591230 | − | 0.806503i | \(-0.298643\pi\) | |||||||
\(984\) | 2.17968 | 0.0694856 | ||||||||
\(985\) | −39.0558 | − | 26.1116i | −1.24442 | − | 0.831985i | ||||
\(986\) | −13.8744 | −0.441852 | ||||||||
\(987\) | − | 2.83638i | − | 0.0902828i | ||||||
\(988\) | − | 76.8034i | − | 2.44344i | ||||||
\(989\) | −1.63981 | −0.0521430 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.42430 | 0.172309 | 0.0861543 | − | 0.996282i | \(-0.472542\pi\) | ||||
0.0861543 | + | 0.996282i | \(0.472542\pi\) | |||||||
\(992\) | − | 17.5773i | − | 0.558081i | ||||||
\(993\) | 2.40874i | 0.0764391i | ||||||||
\(994\) | 5.69653 | 0.180683 | ||||||||
\(995\) | 16.7967 | − | 25.1233i | 0.532491 | − | 0.796461i | ||||
\(996\) | −17.1269 | −0.542686 | ||||||||
\(997\) | 28.6665i | 0.907876i | 0.891033 | + | 0.453938i | \(0.149981\pi\) | ||||
−0.891033 | + | 0.453938i | \(0.850019\pi\) | |||||||
\(998\) | − | 48.2807i | − | 1.52830i | ||||||
\(999\) | −9.55578 | −0.302332 |
(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 | 1815.2.c.i.364.3 | yes | 12 | |
5.2 | odd | 4 | 9075.2.a.do.1.5 | 6 | |||
5.3 | odd | 4 | 9075.2.a.ds.1.2 | 6 | |||
5.4 | even | 2 | inner | 1815.2.c.i.364.10 | yes | 12 | |
11.10 | odd | 2 | 1815.2.c.h.364.10 | yes | 12 | ||
55.32 | even | 4 | 9075.2.a.dr.1.2 | 6 | |||
55.43 | even | 4 | 9075.2.a.dp.1.5 | 6 | |||
55.54 | odd | 2 | 1815.2.c.h.364.3 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1815.2.c.h.364.3 | ✓ | 12 | 55.54 | odd | 2 | ||
1815.2.c.h.364.10 | yes | 12 | 11.10 | odd | 2 | ||
1815.2.c.i.364.3 | yes | 12 | 1.1 | even | 1 | trivial | |
1815.2.c.i.364.10 | yes | 12 | 5.4 | even | 2 | inner | |
9075.2.a.do.1.5 | 6 | 5.2 | odd | 4 | |||
9075.2.a.dp.1.5 | 6 | 55.43 | even | 4 | |||
9075.2.a.dr.1.2 | 6 | 55.32 | even | 4 | |||
9075.2.a.ds.1.2 | 6 | 5.3 | odd | 4 |