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 | 364.1 | ||
Root | \(-2.73519i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.i.364.12 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.73519i | − | 1.93407i | −0.254645 | − | 0.967035i | \(-0.581959\pi\) | ||
0.254645 | − | 0.967035i | \(-0.418041\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −5.48125 | −2.74062 | ||||||||
\(5\) | −1.65271 | + | 1.50617i | −0.739116 | + | 0.673578i | ||||
\(6\) | 2.73519 | 1.11664 | ||||||||
\(7\) | 4.20410i | 1.58900i | 0.607263 | + | 0.794501i | \(0.292267\pi\) | ||||
−0.607263 | + | 0.794501i | \(0.707733\pi\) | |||||||
\(8\) | 9.52186i | 3.36649i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.11965 | + | 4.52048i | 1.30275 | + | 1.42950i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 5.48125i | − | 1.58230i | ||||||
\(13\) | 0.0784689i | 0.0217634i | 0.999941 | + | 0.0108817i | \(0.00346381\pi\) | ||||
−0.999941 | + | 0.0108817i | \(0.996536\pi\) | |||||||
\(14\) | 11.4990 | 3.07324 | ||||||||
\(15\) | −1.50617 | − | 1.65271i | −0.388890 | − | 0.426729i | ||||
\(16\) | 15.0816 | 3.77039 | ||||||||
\(17\) | − | 0.0228569i | − | 0.00554362i | −0.999996 | − | 0.00277181i | \(-0.999118\pi\) | ||
0.999996 | − | 0.00277181i | \(-0.000882296\pi\) | |||||||
\(18\) | 2.73519i | 0.644690i | ||||||||
\(19\) | −1.26627 | −0.290503 | −0.145251 | − | 0.989395i | \(-0.546399\pi\) | ||||
−0.145251 | + | 0.989395i | \(0.546399\pi\) | |||||||
\(20\) | 9.05893 | − | 8.25567i | 2.02564 | − | 1.84602i | ||||
\(21\) | −4.20410 | −0.917410 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.12996i | 1.27818i | 0.769130 | + | 0.639092i | \(0.220690\pi\) | ||||
−0.769130 | + | 0.639092i | \(0.779310\pi\) | |||||||
\(24\) | −9.52186 | −1.94364 | ||||||||
\(25\) | 0.462928 | − | 4.97852i | 0.0925855 | − | 0.995705i | ||||
\(26\) | 0.214627 | 0.0420918 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | − | 23.0437i | − | 4.35485i | ||||||
\(29\) | −5.85972 | −1.08812 | −0.544061 | − | 0.839046i | \(-0.683114\pi\) | ||||
−0.544061 | + | 0.839046i | \(0.683114\pi\) | |||||||
\(30\) | −4.52048 | + | 4.11965i | −0.825323 | + | 0.752141i | ||||
\(31\) | −3.23929 | −0.581794 | −0.290897 | − | 0.956754i | \(-0.593954\pi\) | ||||
−0.290897 | + | 0.956754i | \(0.593954\pi\) | |||||||
\(32\) | − | 22.2072i | − | 3.92572i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0625180 | −0.0107218 | ||||||||
\(35\) | −6.33208 | − | 6.94818i | −1.07032 | − | 1.17446i | ||||
\(36\) | 5.48125 | 0.913541 | ||||||||
\(37\) | − | 8.67992i | − | 1.42697i | −0.700670 | − | 0.713485i | \(-0.747116\pi\) | ||
0.700670 | − | 0.713485i | \(-0.252884\pi\) | |||||||
\(38\) | 3.46349i | 0.561852i | ||||||||
\(39\) | −0.0784689 | −0.0125651 | ||||||||
\(40\) | −14.3415 | − | 15.7369i | −2.26759 | − | 2.48822i | ||||
\(41\) | 3.84194 | 0.600010 | 0.300005 | − | 0.953938i | \(-0.403012\pi\) | ||||
0.300005 | + | 0.953938i | \(0.403012\pi\) | |||||||
\(42\) | 11.4990i | 1.77434i | ||||||||
\(43\) | 0.859518i | 0.131075i | 0.997850 | + | 0.0655376i | \(0.0208762\pi\) | ||||
−0.997850 | + | 0.0655376i | \(0.979124\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.65271 | − | 1.50617i | 0.246372 | − | 0.224526i | ||||
\(46\) | 16.7666 | 2.47210 | ||||||||
\(47\) | − | 1.89867i | − | 0.276950i | −0.990366 | − | 0.138475i | \(-0.955780\pi\) | ||
0.990366 | − | 0.138475i | \(-0.0442201\pi\) | |||||||
\(48\) | 15.0816i | 2.17684i | ||||||||
\(49\) | −10.6745 | −1.52493 | ||||||||
\(50\) | −13.6172 | − | 1.26619i | −1.92576 | − | 0.179067i | ||||
\(51\) | 0.0228569 | 0.00320061 | ||||||||
\(52\) | − | 0.430108i | − | 0.0596452i | ||||||
\(53\) | 4.55937i | 0.626277i | 0.949707 | + | 0.313139i | \(0.101380\pi\) | ||||
−0.949707 | + | 0.313139i | \(0.898620\pi\) | |||||||
\(54\) | −2.73519 | −0.372212 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −40.0309 | −5.34935 | ||||||||
\(57\) | − | 1.26627i | − | 0.167722i | ||||||
\(58\) | 16.0274i | 2.10450i | ||||||||
\(59\) | 3.44174 | 0.448077 | 0.224038 | − | 0.974580i | \(-0.428076\pi\) | ||||
0.224038 | + | 0.974580i | \(0.428076\pi\) | |||||||
\(60\) | 8.25567 | + | 9.05893i | 1.06580 | + | 1.16950i | ||||
\(61\) | −8.13141 | −1.04112 | −0.520560 | − | 0.853825i | \(-0.674277\pi\) | ||||
−0.520560 | + | 0.853825i | \(0.674277\pi\) | |||||||
\(62\) | 8.86007i | 1.12523i | ||||||||
\(63\) | − | 4.20410i | − | 0.529667i | ||||||
\(64\) | −30.5777 | −3.82221 | ||||||||
\(65\) | −0.118187 | − | 0.129687i | −0.0146593 | − | 0.0160857i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.406754i | 0.0496929i | 0.999691 | + | 0.0248465i | \(0.00790969\pi\) | ||||
−0.999691 | + | 0.0248465i | \(0.992090\pi\) | |||||||
\(68\) | 0.125285i | 0.0151930i | ||||||||
\(69\) | −6.12996 | −0.737960 | ||||||||
\(70\) | −19.0046 | + | 17.3194i | −2.27148 | + | 2.07007i | ||||
\(71\) | 8.40424 | 0.997399 | 0.498700 | − | 0.866775i | \(-0.333811\pi\) | ||||
0.498700 | + | 0.866775i | \(0.333811\pi\) | |||||||
\(72\) | − | 9.52186i | − | 1.12216i | ||||||
\(73\) | − | 15.1913i | − | 1.77800i | −0.457905 | − | 0.889001i | \(-0.651400\pi\) | ||
0.457905 | − | 0.889001i | \(-0.348600\pi\) | |||||||
\(74\) | −23.7412 | −2.75986 | ||||||||
\(75\) | 4.97852 | + | 0.462928i | 0.574870 | + | 0.0534543i | ||||
\(76\) | 6.94075 | 0.796158 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.214627i | 0.0243017i | ||||||||
\(79\) | −13.2182 | −1.48717 | −0.743584 | − | 0.668642i | \(-0.766876\pi\) | ||||
−0.743584 | + | 0.668642i | \(0.766876\pi\) | |||||||
\(80\) | −24.9255 | + | 22.7154i | −2.78676 | + | 2.53965i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 10.5084i | − | 1.16046i | ||||||
\(83\) | 14.4615i | 1.58736i | 0.608338 | + | 0.793678i | \(0.291836\pi\) | ||||
−0.608338 | + | 0.793678i | \(0.708164\pi\) | |||||||
\(84\) | 23.0437 | 2.51428 | ||||||||
\(85\) | 0.0344264 | + | 0.0377760i | 0.00373406 | + | 0.00409738i | ||||
\(86\) | 2.35094 | 0.253508 | ||||||||
\(87\) | − | 5.85972i | − | 0.628228i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.19755 | 0.868938 | 0.434469 | − | 0.900687i | \(-0.356936\pi\) | ||||
0.434469 | + | 0.900687i | \(0.356936\pi\) | |||||||
\(90\) | −4.11965 | − | 4.52048i | −0.434249 | − | 0.476501i | ||||
\(91\) | −0.329891 | −0.0345820 | ||||||||
\(92\) | − | 33.5998i | − | 3.50302i | ||||||
\(93\) | − | 3.23929i | − | 0.335899i | ||||||
\(94\) | −5.19323 | −0.535641 | ||||||||
\(95\) | 2.09278 | − | 1.90722i | 0.214715 | − | 0.195676i | ||||
\(96\) | 22.2072 | 2.26651 | ||||||||
\(97\) | − | 1.64997i | − | 0.167529i | −0.996486 | − | 0.0837644i | \(-0.973306\pi\) | ||
0.996486 | − | 0.0837644i | \(-0.0266943\pi\) | |||||||
\(98\) | 29.1967i | 2.94931i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.53742 | + | 27.2885i | −0.253742 | + | 2.72885i | ||||
\(101\) | −16.0533 | −1.59736 | −0.798681 | − | 0.601754i | \(-0.794469\pi\) | ||||
−0.798681 | + | 0.601754i | \(0.794469\pi\) | |||||||
\(102\) | − | 0.0625180i | − | 0.00619021i | ||||||
\(103\) | − | 16.3100i | − | 1.60707i | −0.595256 | − | 0.803536i | \(-0.702949\pi\) | ||
0.595256 | − | 0.803536i | \(-0.297051\pi\) | |||||||
\(104\) | −0.747170 | −0.0732661 | ||||||||
\(105\) | 6.94818 | − | 6.33208i | 0.678073 | − | 0.617947i | ||||
\(106\) | 12.4707 | 1.21126 | ||||||||
\(107\) | − | 1.74174i | − | 0.168380i | −0.996450 | − | 0.0841900i | \(-0.973170\pi\) | ||
0.996450 | − | 0.0841900i | \(-0.0268303\pi\) | |||||||
\(108\) | 5.48125i | 0.527433i | ||||||||
\(109\) | 5.52731 | 0.529420 | 0.264710 | − | 0.964328i | \(-0.414724\pi\) | ||||
0.264710 | + | 0.964328i | \(0.414724\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.67992 | 0.823862 | ||||||||
\(112\) | 63.4045i | 5.99116i | ||||||||
\(113\) | 8.38535i | 0.788827i | 0.918933 | + | 0.394414i | \(0.129052\pi\) | ||||
−0.918933 | + | 0.394414i | \(0.870948\pi\) | |||||||
\(114\) | −3.46349 | −0.324385 | ||||||||
\(115\) | −9.23273 | − | 10.1311i | −0.860957 | − | 0.944727i | ||||
\(116\) | 32.1186 | 2.98213 | ||||||||
\(117\) | − | 0.0784689i | − | 0.00725445i | ||||||
\(118\) | − | 9.41381i | − | 0.866611i | ||||||
\(119\) | 0.0960930 | 0.00880883 | ||||||||
\(120\) | 15.7369 | − | 14.3415i | 1.43658 | − | 1.30919i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 22.2409i | 2.01360i | ||||||||
\(123\) | 3.84194i | 0.346416i | ||||||||
\(124\) | 17.7554 | 1.59448 | ||||||||
\(125\) | 6.73340 | + | 8.92532i | 0.602253 | + | 0.798305i | ||||
\(126\) | −11.4990 | −1.02441 | ||||||||
\(127\) | − | 1.82850i | − | 0.162253i | −0.996704 | − | 0.0811264i | \(-0.974148\pi\) | ||
0.996704 | − | 0.0811264i | \(-0.0258518\pi\) | |||||||
\(128\) | 39.2214i | 3.46671i | ||||||||
\(129\) | −0.859518 | −0.0756763 | ||||||||
\(130\) | −0.354717 | + | 0.323264i | −0.0311108 | + | 0.0283521i | ||||
\(131\) | −1.09407 | −0.0955894 | −0.0477947 | − | 0.998857i | \(-0.515219\pi\) | ||||
−0.0477947 | + | 0.998857i | \(0.515219\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 5.32354i | − | 0.461609i | ||||||
\(134\) | 1.11255 | 0.0961095 | ||||||||
\(135\) | 1.50617 | + | 1.65271i | 0.129630 | + | 0.142243i | ||||
\(136\) | 0.217641 | 0.0186625 | ||||||||
\(137\) | − | 17.0599i | − | 1.45752i | −0.684768 | − | 0.728761i | \(-0.740097\pi\) | ||
0.684768 | − | 0.728761i | \(-0.259903\pi\) | |||||||
\(138\) | 16.7666i | 1.42727i | ||||||||
\(139\) | 14.3029 | 1.21316 | 0.606579 | − | 0.795024i | \(-0.292542\pi\) | ||||
0.606579 | + | 0.795024i | \(0.292542\pi\) | |||||||
\(140\) | 34.7077 | + | 38.0847i | 2.93333 | + | 3.21874i | ||||
\(141\) | 1.89867 | 0.159897 | ||||||||
\(142\) | − | 22.9872i | − | 1.92904i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −15.0816 | −1.25680 | ||||||||
\(145\) | 9.68444 | − | 8.82571i | 0.804249 | − | 0.732935i | ||||
\(146\) | −41.5509 | −3.43878 | ||||||||
\(147\) | − | 10.6745i | − | 0.880416i | ||||||
\(148\) | 47.5768i | 3.91079i | ||||||||
\(149\) | −16.6189 | −1.36147 | −0.680735 | − | 0.732530i | \(-0.738340\pi\) | ||||
−0.680735 | + | 0.732530i | \(0.738340\pi\) | |||||||
\(150\) | 1.26619 | − | 13.6172i | 0.103384 | − | 1.11184i | ||||
\(151\) | −6.89775 | −0.561331 | −0.280666 | − | 0.959806i | \(-0.590555\pi\) | ||||
−0.280666 | + | 0.959806i | \(0.590555\pi\) | |||||||
\(152\) | − | 12.0573i | − | 0.977973i | ||||||
\(153\) | 0.0228569i | 0.00184787i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.35362 | − | 4.87891i | 0.430013 | − | 0.391884i | ||||
\(156\) | 0.430108 | 0.0344362 | ||||||||
\(157\) | − | 16.3071i | − | 1.30145i | −0.759315 | − | 0.650723i | \(-0.774466\pi\) | ||
0.759315 | − | 0.650723i | \(-0.225534\pi\) | |||||||
\(158\) | 36.1544i | 2.87629i | ||||||||
\(159\) | −4.55937 | −0.361581 | ||||||||
\(160\) | 33.4477 | + | 36.7022i | 2.64428 | + | 2.90156i | ||||
\(161\) | −25.7710 | −2.03104 | ||||||||
\(162\) | − | 2.73519i | − | 0.214897i | ||||||
\(163\) | 14.7366i | 1.15426i | 0.816651 | + | 0.577132i | \(0.195828\pi\) | ||||
−0.816651 | + | 0.577132i | \(0.804172\pi\) | |||||||
\(164\) | −21.0586 | −1.64440 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 39.5549 | 3.07006 | ||||||||
\(167\) | − | 0.810790i | − | 0.0627408i | −0.999508 | − | 0.0313704i | \(-0.990013\pi\) | ||
0.999508 | − | 0.0313704i | \(-0.00998715\pi\) | |||||||
\(168\) | − | 40.0309i | − | 3.08845i | ||||||
\(169\) | 12.9938 | 0.999526 | ||||||||
\(170\) | 0.103324 | − | 0.0941625i | 0.00792462 | − | 0.00722194i | ||||
\(171\) | 1.26627 | 0.0968342 | ||||||||
\(172\) | − | 4.71123i | − | 0.359228i | ||||||
\(173\) | − | 17.1474i | − | 1.30369i | −0.758352 | − | 0.651845i | \(-0.773995\pi\) | ||
0.758352 | − | 0.651845i | \(-0.226005\pi\) | |||||||
\(174\) | −16.0274 | −1.21504 | ||||||||
\(175\) | 20.9302 | + | 1.94620i | 1.58218 | + | 0.147119i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.44174i | 0.258697i | ||||||||
\(178\) | − | 22.4218i | − | 1.68059i | ||||||
\(179\) | 3.77163 | 0.281905 | 0.140953 | − | 0.990016i | \(-0.454983\pi\) | ||||
0.140953 | + | 0.990016i | \(0.454983\pi\) | |||||||
\(180\) | −9.05893 | + | 8.25567i | −0.675213 | + | 0.615341i | ||||
\(181\) | −5.17637 | −0.384756 | −0.192378 | − | 0.981321i | \(-0.561620\pi\) | ||||
−0.192378 | + | 0.981321i | \(0.561620\pi\) | |||||||
\(182\) | 0.902314i | 0.0668840i | ||||||||
\(183\) | − | 8.13141i | − | 0.601091i | ||||||
\(184\) | −58.3686 | −4.30299 | ||||||||
\(185\) | 13.0734 | + | 14.3454i | 0.961176 | + | 1.05470i | ||||
\(186\) | −8.86007 | −0.649652 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 10.4071i | 0.759016i | ||||||||
\(189\) | 4.20410 | 0.305803 | ||||||||
\(190\) | −5.21659 | − | 5.72416i | −0.378451 | − | 0.415274i | ||||
\(191\) | −26.1298 | −1.89069 | −0.945345 | − | 0.326073i | \(-0.894275\pi\) | ||||
−0.945345 | + | 0.326073i | \(0.894275\pi\) | |||||||
\(192\) | − | 30.5777i | − | 2.20676i | ||||||
\(193\) | − | 12.3391i | − | 0.888191i | −0.895980 | − | 0.444095i | \(-0.853525\pi\) | ||
0.895980 | − | 0.444095i | \(-0.146475\pi\) | |||||||
\(194\) | −4.51297 | −0.324012 | ||||||||
\(195\) | 0.129687 | − | 0.118187i | 0.00928706 | − | 0.00846356i | ||||
\(196\) | 58.5094 | 4.17925 | ||||||||
\(197\) | 5.16530i | 0.368013i | 0.982925 | + | 0.184006i | \(0.0589067\pi\) | ||||
−0.982925 | + | 0.184006i | \(0.941093\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.92806 | −0.562005 | −0.281003 | − | 0.959707i | \(-0.590667\pi\) | ||||
−0.281003 | + | 0.959707i | \(0.590667\pi\) | |||||||
\(200\) | 47.4048 | + | 4.40793i | 3.35203 | + | 0.311688i | ||||
\(201\) | −0.406754 | −0.0286902 | ||||||||
\(202\) | 43.9088i | 3.08941i | ||||||||
\(203\) | − | 24.6349i | − | 1.72903i | ||||||
\(204\) | −0.125285 | −0.00877168 | ||||||||
\(205\) | −6.34963 | + | 5.78660i | −0.443477 | + | 0.404154i | ||||
\(206\) | −44.6109 | −3.10819 | ||||||||
\(207\) | − | 6.12996i | − | 0.426062i | ||||||
\(208\) | 1.18344i | 0.0820565i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −17.3194 | − | 19.0046i | −1.19515 | − | 1.31144i | ||||
\(211\) | −20.5882 | −1.41735 | −0.708677 | − | 0.705533i | \(-0.750707\pi\) | ||||
−0.708677 | + | 0.705533i | \(0.750707\pi\) | |||||||
\(212\) | − | 24.9910i | − | 1.71639i | ||||||
\(213\) | 8.40424i | 0.575849i | ||||||||
\(214\) | −4.76397 | −0.325659 | ||||||||
\(215\) | −1.29458 | − | 1.42054i | −0.0882894 | − | 0.0968798i | ||||
\(216\) | 9.52186 | 0.647881 | ||||||||
\(217\) | − | 13.6183i | − | 0.924471i | ||||||
\(218\) | − | 15.1182i | − | 1.02394i | ||||||
\(219\) | 15.1913 | 1.02653 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.00179356 | 0.000120648 | ||||||||
\(222\) | − | 23.7412i | − | 1.59341i | ||||||
\(223\) | 6.43212i | 0.430726i | 0.976534 | + | 0.215363i | \(0.0690935\pi\) | ||||
−0.976534 | + | 0.215363i | \(0.930906\pi\) | |||||||
\(224\) | 93.3614 | 6.23797 | ||||||||
\(225\) | −0.462928 | + | 4.97852i | −0.0308618 | + | 0.331902i | ||||
\(226\) | 22.9355 | 1.52565 | ||||||||
\(227\) | 14.5875i | 0.968206i | 0.875011 | + | 0.484103i | \(0.160854\pi\) | ||||
−0.875011 | + | 0.484103i | \(0.839146\pi\) | |||||||
\(228\) | 6.94075i | 0.459662i | ||||||||
\(229\) | 16.1992 | 1.07047 | 0.535237 | − | 0.844702i | \(-0.320222\pi\) | ||||
0.535237 | + | 0.844702i | \(0.320222\pi\) | |||||||
\(230\) | −27.7104 | + | 25.2533i | −1.82717 | + | 1.66515i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 55.7954i | − | 3.66315i | ||||||
\(233\) | 8.58800i | 0.562619i | 0.959617 | + | 0.281309i | \(0.0907687\pi\) | ||||
−0.959617 | + | 0.281309i | \(0.909231\pi\) | |||||||
\(234\) | −0.214627 | −0.0140306 | ||||||||
\(235\) | 2.85972 | + | 3.13797i | 0.186547 | + | 0.204698i | ||||
\(236\) | −18.8650 | −1.22801 | ||||||||
\(237\) | − | 13.2182i | − | 0.858617i | ||||||
\(238\) | − | 0.262832i | − | 0.0170369i | ||||||
\(239\) | 6.29874 | 0.407432 | 0.203716 | − | 0.979030i | \(-0.434698\pi\) | ||||
0.203716 | + | 0.979030i | \(0.434698\pi\) | |||||||
\(240\) | −22.7154 | − | 24.9255i | −1.46627 | − | 1.60894i | ||||
\(241\) | −1.13776 | −0.0732899 | −0.0366449 | − | 0.999328i | \(-0.511667\pi\) | ||||
−0.0366449 | + | 0.999328i | \(0.511667\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 44.5703 | 2.85332 | ||||||||
\(245\) | 17.6419 | − | 16.0775i | 1.12710 | − | 1.02716i | ||||
\(246\) | 10.5084 | 0.669992 | ||||||||
\(247\) | − | 0.0993630i | − | 0.00632231i | ||||||
\(248\) | − | 30.8441i | − | 1.95860i | ||||||
\(249\) | −14.4615 | −0.916460 | ||||||||
\(250\) | 24.4124 | − | 18.4171i | 1.54398 | − | 1.16480i | ||||
\(251\) | 3.82996 | 0.241745 | 0.120873 | − | 0.992668i | \(-0.461431\pi\) | ||||
0.120873 | + | 0.992668i | \(0.461431\pi\) | |||||||
\(252\) | 23.0437i | 1.45162i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −5.00128 | −0.313808 | ||||||||
\(255\) | −0.0377760 | + | 0.0344264i | −0.00236562 | + | 0.00215586i | ||||
\(256\) | 46.1223 | 2.88264 | ||||||||
\(257\) | − | 9.67810i | − | 0.603703i | −0.953355 | − | 0.301852i | \(-0.902395\pi\) | ||
0.953355 | − | 0.301852i | \(-0.0976048\pi\) | |||||||
\(258\) | 2.35094i | 0.146363i | ||||||||
\(259\) | 36.4913 | 2.26746 | ||||||||
\(260\) | 0.647813 | + | 0.710845i | 0.0401757 | + | 0.0440847i | ||||
\(261\) | 5.85972 | 0.362707 | ||||||||
\(262\) | 2.99249i | 0.184877i | ||||||||
\(263\) | − | 19.0954i | − | 1.17747i | −0.808326 | − | 0.588735i | \(-0.799626\pi\) | ||
0.808326 | − | 0.588735i | \(-0.200374\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.86716 | − | 7.53533i | −0.421847 | − | 0.462892i | ||||
\(266\) | −14.5609 | −0.892784 | ||||||||
\(267\) | 8.19755i | 0.501682i | ||||||||
\(268\) | − | 2.22952i | − | 0.136190i | ||||||
\(269\) | −17.4899 | −1.06638 | −0.533190 | − | 0.845996i | \(-0.679007\pi\) | ||||
−0.533190 | + | 0.845996i | \(0.679007\pi\) | |||||||
\(270\) | 4.52048 | − | 4.11965i | 0.275108 | − | 0.250714i | ||||
\(271\) | −23.8385 | −1.44809 | −0.724043 | − | 0.689755i | \(-0.757718\pi\) | ||||
−0.724043 | + | 0.689755i | \(0.757718\pi\) | |||||||
\(272\) | − | 0.344719i | − | 0.0209017i | ||||||
\(273\) | − | 0.329891i | − | 0.0199659i | ||||||
\(274\) | −46.6619 | −2.81895 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 33.5998 | 2.02247 | ||||||||
\(277\) | − | 4.93692i | − | 0.296631i | −0.988940 | − | 0.148315i | \(-0.952615\pi\) | ||
0.988940 | − | 0.148315i | \(-0.0473851\pi\) | |||||||
\(278\) | − | 39.1211i | − | 2.34633i | ||||||
\(279\) | 3.23929 | 0.193931 | ||||||||
\(280\) | 66.1596 | − | 60.2932i | 3.95379 | − | 3.60321i | ||||
\(281\) | −2.13091 | −0.127120 | −0.0635598 | − | 0.997978i | \(-0.520245\pi\) | ||||
−0.0635598 | + | 0.997978i | \(0.520245\pi\) | |||||||
\(282\) | − | 5.19323i | − | 0.309252i | ||||||
\(283\) | 17.2239i | 1.02385i | 0.859029 | + | 0.511926i | \(0.171068\pi\) | ||||
−0.859029 | + | 0.511926i | \(0.828932\pi\) | |||||||
\(284\) | −46.0657 | −2.73350 | ||||||||
\(285\) | 1.90722 | + | 2.09278i | 0.112974 | + | 0.123966i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.1519i | 0.953417i | ||||||||
\(288\) | 22.2072i | 1.30857i | ||||||||
\(289\) | 16.9995 | 0.999969 | ||||||||
\(290\) | −24.1400 | − | 26.4888i | −1.41755 | − | 1.55547i | ||||
\(291\) | 1.64997 | 0.0967228 | ||||||||
\(292\) | 83.2671i | 4.87284i | ||||||||
\(293\) | 19.1742i | 1.12017i | 0.828436 | + | 0.560084i | \(0.189231\pi\) | ||||
−0.828436 | + | 0.560084i | \(0.810769\pi\) | |||||||
\(294\) | −29.1967 | −1.70279 | ||||||||
\(295\) | −5.68822 | + | 5.18384i | −0.331181 | + | 0.301815i | ||||
\(296\) | 82.6490 | 4.80388 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 45.4557i | 2.63318i | ||||||||
\(299\) | −0.481011 | −0.0278176 | ||||||||
\(300\) | −27.2885 | − | 2.53742i | −1.57550 | − | 0.146498i | ||||
\(301\) | −3.61350 | −0.208279 | ||||||||
\(302\) | 18.8666i | 1.08565i | ||||||||
\(303\) | − | 16.0533i | − | 0.922238i | ||||||
\(304\) | −19.0974 | −1.09531 | ||||||||
\(305\) | 13.4389 | − | 12.2473i | 0.769509 | − | 0.701276i | ||||
\(306\) | 0.0625180 | 0.00357392 | ||||||||
\(307\) | 12.0936i | 0.690217i | 0.938563 | + | 0.345108i | \(0.112158\pi\) | ||||
−0.938563 | + | 0.345108i | \(0.887842\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 16.3100 | 0.927843 | ||||||||
\(310\) | −13.3447 | − | 14.6432i | −0.757930 | − | 0.831675i | ||||
\(311\) | 10.5043 | 0.595644 | 0.297822 | − | 0.954621i | \(-0.403740\pi\) | ||||
0.297822 | + | 0.954621i | \(0.403740\pi\) | |||||||
\(312\) | − | 0.747170i | − | 0.0423002i | ||||||
\(313\) | 0.223857i | 0.0126532i | 0.999980 | + | 0.00632658i | \(0.00201383\pi\) | ||||
−0.999980 | + | 0.00632658i | \(0.997986\pi\) | |||||||
\(314\) | −44.6029 | −2.51709 | ||||||||
\(315\) | 6.33208 | + | 6.94818i | 0.356772 | + | 0.391486i | ||||
\(316\) | 72.4525 | 4.07577 | ||||||||
\(317\) | 11.0776i | 0.622179i | 0.950381 | + | 0.311090i | \(0.100694\pi\) | ||||
−0.950381 | + | 0.311090i | \(0.899306\pi\) | |||||||
\(318\) | 12.4707i | 0.699323i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 50.5362 | − | 46.0551i | 2.82506 | − | 2.57456i | ||||
\(321\) | 1.74174 | 0.0972142 | ||||||||
\(322\) | 70.4884i | 3.92817i | ||||||||
\(323\) | 0.0289431i | 0.00161044i | ||||||||
\(324\) | −5.48125 | −0.304514 | ||||||||
\(325\) | 0.390659 | + | 0.0363254i | 0.0216699 | + | 0.00201497i | ||||
\(326\) | 40.3075 | 2.23242 | ||||||||
\(327\) | 5.52731i | 0.305661i | ||||||||
\(328\) | 36.5824i | 2.01993i | ||||||||
\(329\) | 7.98222 | 0.440074 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.0860 | 1.48878 | 0.744390 | − | 0.667745i | \(-0.232741\pi\) | ||||
0.744390 | + | 0.667745i | \(0.232741\pi\) | |||||||
\(332\) | − | 79.2671i | − | 4.35035i | ||||||
\(333\) | 8.67992i | 0.475657i | ||||||||
\(334\) | −2.21766 | −0.121345 | ||||||||
\(335\) | −0.612639 | − | 0.672248i | −0.0334720 | − | 0.0367288i | ||||
\(336\) | −63.4045 | −3.45900 | ||||||||
\(337\) | 20.9072i | 1.13889i | 0.822030 | + | 0.569444i | \(0.192841\pi\) | ||||
−0.822030 | + | 0.569444i | \(0.807159\pi\) | |||||||
\(338\) | − | 35.5406i | − | 1.93315i | ||||||
\(339\) | −8.38535 | −0.455430 | ||||||||
\(340\) | −0.188699 | − | 0.207060i | −0.0102337 | − | 0.0112294i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 3.46349i | − | 0.187284i | ||||||
\(343\) | − | 15.4479i | − | 0.834107i | ||||||
\(344\) | −8.18421 | −0.441263 | ||||||||
\(345\) | 10.1311 | − | 9.23273i | 0.545438 | − | 0.497074i | ||||
\(346\) | −46.9013 | −2.52143 | ||||||||
\(347\) | 15.3060i | 0.821667i | 0.911710 | + | 0.410833i | \(0.134762\pi\) | ||||
−0.911710 | + | 0.410833i | \(0.865238\pi\) | |||||||
\(348\) | 32.1186i | 1.72174i | ||||||||
\(349\) | −0.634549 | −0.0339666 | −0.0169833 | − | 0.999856i | \(-0.505406\pi\) | ||||
−0.0169833 | + | 0.999856i | \(0.505406\pi\) | |||||||
\(350\) | 5.32321 | − | 57.2481i | 0.284537 | − | 3.06004i | ||||
\(351\) | 0.0784689 | 0.00418836 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.5583i | 0.987759i | 0.869530 | + | 0.493879i | \(0.164422\pi\) | ||||
−0.869530 | + | 0.493879i | \(0.835578\pi\) | |||||||
\(354\) | 9.41381 | 0.500338 | ||||||||
\(355\) | −13.8898 | + | 12.6582i | −0.737194 | + | 0.671826i | ||||
\(356\) | −44.9328 | −2.38143 | ||||||||
\(357\) | 0.0960930i | 0.00508578i | ||||||||
\(358\) | − | 10.3161i | − | 0.545224i | ||||||
\(359\) | 16.8668 | 0.890196 | 0.445098 | − | 0.895482i | \(-0.353169\pi\) | ||||
0.445098 | + | 0.895482i | \(0.353169\pi\) | |||||||
\(360\) | 14.3415 | + | 15.7369i | 0.755864 | + | 0.829408i | ||||
\(361\) | −17.3966 | −0.915608 | ||||||||
\(362\) | 14.1583i | 0.744146i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.80822 | 0.0947763 | ||||||||
\(365\) | 22.8806 | + | 25.1068i | 1.19762 | + | 1.31415i | ||||
\(366\) | −22.2409 | −1.16255 | ||||||||
\(367\) | − | 12.3622i | − | 0.645301i | −0.946518 | − | 0.322651i | \(-0.895426\pi\) | ||
0.946518 | − | 0.322651i | \(-0.104574\pi\) | |||||||
\(368\) | 92.4494i | 4.81926i | ||||||||
\(369\) | −3.84194 | −0.200003 | ||||||||
\(370\) | 39.2374 | − | 35.7582i | 2.03986 | − | 1.85898i | ||||
\(371\) | −19.1680 | −0.995155 | ||||||||
\(372\) | 17.7554i | 0.920572i | ||||||||
\(373\) | − | 13.0097i | − | 0.673615i | −0.941574 | − | 0.336807i | \(-0.890653\pi\) | ||
0.941574 | − | 0.336807i | \(-0.109347\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.92532 | + | 6.73340i | −0.460902 | + | 0.347711i | ||||
\(376\) | 18.0789 | 0.932349 | ||||||||
\(377\) | − | 0.459806i | − | 0.0236812i | ||||||
\(378\) | − | 11.4990i | − | 0.591445i | ||||||
\(379\) | 27.2309 | 1.39876 | 0.699380 | − | 0.714750i | \(-0.253460\pi\) | ||||
0.699380 | + | 0.714750i | \(0.253460\pi\) | |||||||
\(380\) | −11.4711 | + | 10.4539i | −0.588454 | + | 0.536275i | ||||
\(381\) | 1.82850 | 0.0936767 | ||||||||
\(382\) | 71.4700i | 3.65672i | ||||||||
\(383\) | − | 11.5059i | − | 0.587924i | −0.955817 | − | 0.293962i | \(-0.905026\pi\) | ||
0.955817 | − | 0.293962i | \(-0.0949738\pi\) | |||||||
\(384\) | −39.2214 | −2.00151 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −33.7498 | −1.71782 | ||||||||
\(387\) | − | 0.859518i | − | 0.0436917i | ||||||
\(388\) | 9.04388i | 0.459133i | ||||||||
\(389\) | −23.0264 | −1.16749 | −0.583743 | − | 0.811939i | \(-0.698412\pi\) | ||||
−0.583743 | + | 0.811939i | \(0.698412\pi\) | |||||||
\(390\) | −0.323264 | − | 0.354717i | −0.0163691 | − | 0.0179618i | ||||
\(391\) | 0.140112 | 0.00708577 | ||||||||
\(392\) | − | 101.641i | − | 5.13364i | ||||||
\(393\) | − | 1.09407i | − | 0.0551886i | ||||||
\(394\) | 14.1281 | 0.711762 | ||||||||
\(395\) | 21.8460 | − | 19.9089i | 1.09919 | − | 1.00172i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.37468i | 0.420313i | 0.977668 | + | 0.210157i | \(0.0673974\pi\) | ||||
−0.977668 | + | 0.210157i | \(0.932603\pi\) | |||||||
\(398\) | 21.6847i | 1.08696i | ||||||||
\(399\) | 5.32354 | 0.266510 | ||||||||
\(400\) | 6.98168 | − | 75.0840i | 0.349084 | − | 3.75420i | ||||
\(401\) | 38.3767 | 1.91644 | 0.958221 | − | 0.286029i | \(-0.0923354\pi\) | ||||
0.958221 | + | 0.286029i | \(0.0923354\pi\) | |||||||
\(402\) | 1.11255i | 0.0554889i | ||||||||
\(403\) | − | 0.254184i | − | 0.0126618i | ||||||
\(404\) | 87.9921 | 4.37777 | ||||||||
\(405\) | −1.65271 | + | 1.50617i | −0.0821240 | + | 0.0748420i | ||||
\(406\) | −67.3809 | −3.34406 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0.217641i | 0.0107748i | ||||||||
\(409\) | −35.6631 | −1.76343 | −0.881713 | − | 0.471786i | \(-0.843609\pi\) | ||||
−0.881713 | + | 0.471786i | \(0.843609\pi\) | |||||||
\(410\) | 15.8274 | + | 17.3674i | 0.781661 | + | 0.857715i | ||||
\(411\) | 17.0599 | 0.841501 | ||||||||
\(412\) | 89.3991i | 4.40438i | ||||||||
\(413\) | 14.4694i | 0.711994i | ||||||||
\(414\) | −16.7666 | −0.824032 | ||||||||
\(415\) | −21.7814 | − | 23.9007i | −1.06921 | − | 1.17324i | ||||
\(416\) | 1.74258 | 0.0854368 | ||||||||
\(417\) | 14.3029i | 0.700417i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −28.0750 | −1.37155 | −0.685777 | − | 0.727812i | \(-0.740537\pi\) | ||||
−0.685777 | + | 0.727812i | \(0.740537\pi\) | |||||||
\(420\) | −38.0847 | + | 34.7077i | −1.85834 | + | 1.69356i | ||||
\(421\) | −40.2965 | −1.96393 | −0.981965 | − | 0.189065i | \(-0.939454\pi\) | ||||
−0.981965 | + | 0.189065i | \(0.939454\pi\) | |||||||
\(422\) | 56.3127i | 2.74126i | ||||||||
\(423\) | 1.89867i | 0.0923167i | ||||||||
\(424\) | −43.4137 | −2.10835 | ||||||||
\(425\) | −0.113794 | − | 0.0105811i | −0.00551981 | − | 0.000513259i | ||||
\(426\) | 22.9872 | 1.11373 | ||||||||
\(427\) | − | 34.1853i | − | 1.65434i | ||||||
\(428\) | 9.54689i | 0.461466i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.88543 | + | 3.54091i | −0.187372 | + | 0.170758i | ||||
\(431\) | −17.2384 | −0.830346 | −0.415173 | − | 0.909743i | \(-0.636279\pi\) | ||||
−0.415173 | + | 0.909743i | \(0.636279\pi\) | |||||||
\(432\) | − | 15.0816i | − | 0.725613i | ||||||
\(433\) | − | 17.0888i | − | 0.821237i | −0.911807 | − | 0.410619i | \(-0.865313\pi\) | ||
0.911807 | − | 0.410619i | \(-0.134687\pi\) | |||||||
\(434\) | −37.2486 | −1.78799 | ||||||||
\(435\) | 8.82571 | + | 9.68444i | 0.423160 | + | 0.464333i | ||||
\(436\) | −30.2966 | −1.45094 | ||||||||
\(437\) | − | 7.76219i | − | 0.371316i | ||||||
\(438\) | − | 41.5509i | − | 1.98538i | ||||||
\(439\) | 1.97449 | 0.0942371 | 0.0471185 | − | 0.998889i | \(-0.484996\pi\) | ||||
0.0471185 | + | 0.998889i | \(0.484996\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.6745 | 0.508308 | ||||||||
\(442\) | − | 0.00490572i | − | 0.000233341i | ||||||
\(443\) | − | 26.2675i | − | 1.24801i | −0.781422 | − | 0.624003i | \(-0.785505\pi\) | ||
0.781422 | − | 0.624003i | \(-0.214495\pi\) | |||||||
\(444\) | −47.5768 | −2.25790 | ||||||||
\(445\) | −13.5482 | + | 12.3469i | −0.642246 | + | 0.585297i | ||||
\(446\) | 17.5930 | 0.833055 | ||||||||
\(447\) | − | 16.6189i | − | 0.786045i | ||||||
\(448\) | − | 128.552i | − | 6.07350i | ||||||
\(449\) | −6.76495 | −0.319258 | −0.159629 | − | 0.987177i | \(-0.551030\pi\) | ||||
−0.159629 | + | 0.987177i | \(0.551030\pi\) | |||||||
\(450\) | 13.6172 | + | 1.26619i | 0.641921 | + | 0.0596889i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 45.9622i | − | 2.16188i | ||||||
\(453\) | − | 6.89775i | − | 0.324085i | ||||||
\(454\) | 39.8995 | 1.87258 | ||||||||
\(455\) | 0.545216 | − | 0.496871i | 0.0255601 | − | 0.0232937i | ||||
\(456\) | 12.0573 | 0.564633 | ||||||||
\(457\) | − | 25.1897i | − | 1.17832i | −0.808016 | − | 0.589161i | \(-0.799458\pi\) | ||
0.808016 | − | 0.589161i | \(-0.200542\pi\) | |||||||
\(458\) | − | 44.3078i | − | 2.07037i | ||||||
\(459\) | −0.0228569 | −0.00106687 | ||||||||
\(460\) | 50.6069 | + | 55.5309i | 2.35956 | + | 2.58914i | ||||
\(461\) | −39.8293 | −1.85504 | −0.927518 | − | 0.373778i | \(-0.878062\pi\) | ||||
−0.927518 | + | 0.373778i | \(0.878062\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 38.6388i | − | 1.79570i | −0.440303 | − | 0.897849i | \(-0.645129\pi\) | ||
0.440303 | − | 0.897849i | \(-0.354871\pi\) | |||||||
\(464\) | −88.3738 | −4.10265 | ||||||||
\(465\) | 4.87891 | + | 5.35362i | 0.226254 | + | 0.248268i | ||||
\(466\) | 23.4898 | 1.08814 | ||||||||
\(467\) | − | 10.6309i | − | 0.491940i | −0.969277 | − | 0.245970i | \(-0.920894\pi\) | ||
0.969277 | − | 0.245970i | \(-0.0791064\pi\) | |||||||
\(468\) | 0.430108i | 0.0198817i | ||||||||
\(469\) | −1.71004 | −0.0789621 | ||||||||
\(470\) | 8.58292 | − | 7.82186i | 0.395901 | − | 0.360796i | ||||
\(471\) | 16.3071 | 0.751391 | ||||||||
\(472\) | 32.7718i | 1.50844i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −36.1544 | −1.66062 | ||||||||
\(475\) | −0.586192 | + | 6.30416i | −0.0268963 | + | 0.289255i | ||||
\(476\) | −0.526709 | −0.0241417 | ||||||||
\(477\) | − | 4.55937i | − | 0.208759i | ||||||
\(478\) | − | 17.2282i | − | 0.788002i | ||||||
\(479\) | −37.6760 | −1.72146 | −0.860730 | − | 0.509062i | \(-0.829992\pi\) | ||||
−0.860730 | + | 0.509062i | \(0.829992\pi\) | |||||||
\(480\) | −36.7022 | + | 33.4477i | −1.67522 | + | 1.52667i | ||||
\(481\) | 0.681104 | 0.0310557 | ||||||||
\(482\) | 3.11200i | 0.141748i | ||||||||
\(483\) | − | 25.7710i | − | 1.17262i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.48513 | + | 2.72692i | 0.112844 | + | 0.123823i | ||||
\(486\) | 2.73519 | 0.124071 | ||||||||
\(487\) | 33.8739i | 1.53498i | 0.641064 | + | 0.767488i | \(0.278493\pi\) | ||||
−0.641064 | + | 0.767488i | \(0.721507\pi\) | |||||||
\(488\) | − | 77.4262i | − | 3.50492i | ||||||
\(489\) | −14.7366 | −0.666414 | ||||||||
\(490\) | −43.9751 | − | 48.2538i | −1.98659 | − | 2.17988i | ||||
\(491\) | −4.46216 | −0.201375 | −0.100687 | − | 0.994918i | \(-0.532104\pi\) | ||||
−0.100687 | + | 0.994918i | \(0.532104\pi\) | |||||||
\(492\) | − | 21.0586i | − | 0.949396i | ||||||
\(493\) | 0.133935i | 0.00603214i | ||||||||
\(494\) | −0.271776 | −0.0122278 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −48.8536 | −2.19359 | ||||||||
\(497\) | 35.3323i | 1.58487i | ||||||||
\(498\) | 39.5549i | 1.77250i | ||||||||
\(499\) | 30.5968 | 1.36970 | 0.684851 | − | 0.728683i | \(-0.259867\pi\) | ||||
0.684851 | + | 0.728683i | \(0.259867\pi\) | |||||||
\(500\) | −36.9074 | − | 48.9219i | −1.65055 | − | 2.18785i | ||||
\(501\) | 0.810790 | 0.0362234 | ||||||||
\(502\) | − | 10.4757i | − | 0.467552i | ||||||
\(503\) | 33.2223i | 1.48131i | 0.671886 | + | 0.740655i | \(0.265484\pi\) | ||||
−0.671886 | + | 0.740655i | \(0.734516\pi\) | |||||||
\(504\) | 40.0309 | 1.78312 | ||||||||
\(505\) | 26.5315 | − | 24.1789i | 1.18064 | − | 1.07595i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.9938i | 0.577077i | ||||||||
\(508\) | 10.0224i | 0.444674i | ||||||||
\(509\) | −1.42863 | −0.0633228 | −0.0316614 | − | 0.999499i | \(-0.510080\pi\) | ||||
−0.0316614 | + | 0.999499i | \(0.510080\pi\) | |||||||
\(510\) | 0.0941625 | + | 0.103324i | 0.00416959 | + | 0.00457528i | ||||
\(511\) | 63.8656 | 2.82525 | ||||||||
\(512\) | − | 47.7104i | − | 2.10852i | ||||||
\(513\) | 1.26627i | 0.0559073i | ||||||||
\(514\) | −26.4714 | −1.16760 | ||||||||
\(515\) | 24.5656 | + | 26.9558i | 1.08249 | + | 1.18781i | ||||
\(516\) | 4.71123 | 0.207400 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 99.8105i | − | 4.38542i | ||||||
\(519\) | 17.1474 | 0.752686 | ||||||||
\(520\) | 1.23486 | − | 1.12536i | 0.0541521 | − | 0.0493504i | ||||
\(521\) | 11.4588 | 0.502020 | 0.251010 | − | 0.967985i | \(-0.419237\pi\) | ||||
0.251010 | + | 0.967985i | \(0.419237\pi\) | |||||||
\(522\) | − | 16.0274i | − | 0.701501i | ||||||
\(523\) | 29.5781i | 1.29336i | 0.762761 | + | 0.646680i | \(0.223843\pi\) | ||||
−0.762761 | + | 0.646680i | \(0.776157\pi\) | |||||||
\(524\) | 5.99687 | 0.261975 | ||||||||
\(525\) | −1.94620 | + | 20.9302i | −0.0849389 | + | 0.913470i | ||||
\(526\) | −52.2294 | −2.27731 | ||||||||
\(527\) | 0.0740403i | 0.00322525i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.5764 | −0.633756 | ||||||||
\(530\) | −20.6105 | + | 18.7830i | −0.895265 | + | 0.815880i | ||||
\(531\) | −3.44174 | −0.149359 | ||||||||
\(532\) | 29.1796i | 1.26510i | ||||||||
\(533\) | 0.301473i | 0.0130582i | ||||||||
\(534\) | 22.4218 | 0.970287 | ||||||||
\(535\) | 2.62334 | + | 2.87859i | 0.113417 | + | 0.124452i | ||||
\(536\) | −3.87306 | −0.167291 | ||||||||
\(537\) | 3.77163i | 0.162758i | ||||||||
\(538\) | 47.8382i | 2.06245i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −8.25567 | − | 9.05893i | −0.355267 | − | 0.389834i | ||||
\(541\) | 25.4976 | 1.09623 | 0.548115 | − | 0.836403i | \(-0.315346\pi\) | ||||
0.548115 | + | 0.836403i | \(0.315346\pi\) | |||||||
\(542\) | 65.2028i | 2.80070i | ||||||||
\(543\) | − | 5.17637i | − | 0.222139i | ||||||
\(544\) | −0.507589 | −0.0217627 | ||||||||
\(545\) | −9.13506 | + | 8.32505i | −0.391303 | + | 0.356606i | ||||
\(546\) | −0.902314 | −0.0386155 | ||||||||
\(547\) | 6.72363i | 0.287482i | 0.989615 | + | 0.143741i | \(0.0459132\pi\) | ||||
−0.989615 | + | 0.143741i | \(0.954087\pi\) | |||||||
\(548\) | 93.5093i | 3.99452i | ||||||||
\(549\) | 8.13141 | 0.347040 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.41999 | 0.316102 | ||||||||
\(552\) | − | 58.3686i | − | 2.48433i | ||||||
\(553\) | − | 55.5708i | − | 2.36311i | ||||||
\(554\) | −13.5034 | −0.573705 | ||||||||
\(555\) | −14.3454 | + | 13.0734i | −0.608930 | + | 0.554935i | ||||
\(556\) | −78.3978 | −3.32481 | ||||||||
\(557\) | − | 18.7697i | − | 0.795299i | −0.917537 | − | 0.397650i | \(-0.869826\pi\) | ||
0.917537 | − | 0.397650i | \(-0.130174\pi\) | |||||||
\(558\) | − | 8.86007i | − | 0.375077i | ||||||
\(559\) | −0.0674454 | −0.00285264 | ||||||||
\(560\) | −95.4977 | − | 104.790i | −4.03551 | − | 4.42817i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.82844i | 0.245858i | ||||||||
\(563\) | − | 10.7917i | − | 0.454818i | −0.973799 | − | 0.227409i | \(-0.926975\pi\) | ||
0.973799 | − | 0.227409i | \(-0.0730254\pi\) | |||||||
\(564\) | −10.4071 | −0.438218 | ||||||||
\(565\) | −12.6297 | − | 13.8586i | −0.531337 | − | 0.583035i | ||||
\(566\) | 47.1105 | 1.98020 | ||||||||
\(567\) | 4.20410i | 0.176556i | ||||||||
\(568\) | 80.0240i | 3.35773i | ||||||||
\(569\) | 14.1026 | 0.591211 | 0.295606 | − | 0.955310i | \(-0.404479\pi\) | ||||
0.295606 | + | 0.955310i | \(0.404479\pi\) | |||||||
\(570\) | 5.72416 | − | 5.21659i | 0.239759 | − | 0.218499i | ||||
\(571\) | −22.1590 | −0.927325 | −0.463662 | − | 0.886012i | \(-0.653465\pi\) | ||||
−0.463662 | + | 0.886012i | \(0.653465\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 26.1298i | − | 1.09159i | ||||||
\(574\) | 44.1785 | 1.84397 | ||||||||
\(575\) | 30.5181 | + | 2.83773i | 1.27269 | + | 0.118341i | ||||
\(576\) | 30.5777 | 1.27407 | ||||||||
\(577\) | 31.5239i | 1.31236i | 0.754605 | + | 0.656179i | \(0.227828\pi\) | ||||
−0.754605 | + | 0.656179i | \(0.772172\pi\) | |||||||
\(578\) | − | 46.4967i | − | 1.93401i | ||||||
\(579\) | 12.3391 | 0.512797 | ||||||||
\(580\) | −53.0828 | + | 48.3759i | −2.20414 | + | 2.00870i | ||||
\(581\) | −60.7976 | −2.52231 | ||||||||
\(582\) | − | 4.51297i | − | 0.187069i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 144.649 | 5.98562 | ||||||||
\(585\) | 0.118187 | + | 0.129687i | 0.00488644 | + | 0.00536188i | ||||
\(586\) | 52.4450 | 2.16648 | ||||||||
\(587\) | 31.2905i | 1.29150i | 0.763551 | + | 0.645748i | \(0.223454\pi\) | ||||
−0.763551 | + | 0.645748i | \(0.776546\pi\) | |||||||
\(588\) | 58.5094i | 2.41289i | ||||||||
\(589\) | 4.10182 | 0.169013 | ||||||||
\(590\) | 14.1788 | + | 15.5583i | 0.583730 | + | 0.640526i | ||||
\(591\) | −5.16530 | −0.212472 | ||||||||
\(592\) | − | 130.907i | − | 5.38024i | ||||||
\(593\) | 10.6328i | 0.436635i | 0.975878 | + | 0.218318i | \(0.0700569\pi\) | ||||
−0.975878 | + | 0.218318i | \(0.929943\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.158814 | + | 0.144732i | −0.00651075 | + | 0.00593343i | ||||
\(596\) | 91.0921 | 3.73128 | ||||||||
\(597\) | − | 7.92806i | − | 0.324474i | ||||||
\(598\) | 1.31566i | 0.0538011i | ||||||||
\(599\) | 33.0858 | 1.35185 | 0.675924 | − | 0.736971i | \(-0.263745\pi\) | ||||
0.675924 | + | 0.736971i | \(0.263745\pi\) | |||||||
\(600\) | −4.40793 | + | 47.4048i | −0.179953 | + | 1.93529i | ||||
\(601\) | 0.0517727 | 0.00211185 | 0.00105593 | − | 0.999999i | \(-0.499664\pi\) | ||||
0.00105593 | + | 0.999999i | \(0.499664\pi\) | |||||||
\(602\) | 9.88360i | 0.402825i | ||||||||
\(603\) | − | 0.406754i | − | 0.0165643i | ||||||
\(604\) | 37.8083 | 1.53840 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −43.9088 | −1.78367 | ||||||||
\(607\) | 10.7914i | 0.438008i | 0.975724 | + | 0.219004i | \(0.0702807\pi\) | ||||
−0.975724 | + | 0.219004i | \(0.929719\pi\) | |||||||
\(608\) | 28.1204i | 1.14043i | ||||||||
\(609\) | 24.6349 | 0.998255 | ||||||||
\(610\) | −33.4985 | − | 36.7579i | −1.35632 | − | 1.48828i | ||||
\(611\) | 0.148987 | 0.00602736 | ||||||||
\(612\) | − | 0.125285i | − | 0.00506433i | ||||||
\(613\) | − | 6.69877i | − | 0.270561i | −0.990807 | − | 0.135280i | \(-0.956806\pi\) | ||
0.990807 | − | 0.135280i | \(-0.0431935\pi\) | |||||||
\(614\) | 33.0782 | 1.33493 | ||||||||
\(615\) | −5.78660 | − | 6.34963i | −0.233338 | − | 0.256042i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.4561i | 0.702755i | 0.936234 | + | 0.351377i | \(0.114287\pi\) | ||||
−0.936234 | + | 0.351377i | \(0.885713\pi\) | |||||||
\(618\) | − | 44.6109i | − | 1.79451i | ||||||
\(619\) | −31.1598 | −1.25242 | −0.626209 | − | 0.779655i | \(-0.715394\pi\) | ||||
−0.626209 | + | 0.779655i | \(0.715394\pi\) | |||||||
\(620\) | −29.3445 | + | 26.7425i | −1.17850 | + | 1.07401i | ||||
\(621\) | 6.12996 | 0.245987 | ||||||||
\(622\) | − | 28.7312i | − | 1.15202i | ||||||
\(623\) | 34.4633i | 1.38074i | ||||||||
\(624\) | −1.18344 | −0.0473753 | ||||||||
\(625\) | −24.5714 | − | 4.60939i | −0.982856 | − | 0.184376i | ||||
\(626\) | 0.612291 | 0.0244721 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 89.3831i | 3.56678i | ||||||||
\(629\) | −0.198397 | −0.00791059 | ||||||||
\(630\) | 19.0046 | − | 17.3194i | 0.757160 | − | 0.690022i | ||||
\(631\) | 6.55952 | 0.261130 | 0.130565 | − | 0.991440i | \(-0.458321\pi\) | ||||
0.130565 | + | 0.991440i | \(0.458321\pi\) | |||||||
\(632\) | − | 125.862i | − | 5.00653i | ||||||
\(633\) | − | 20.5882i | − | 0.818309i | ||||||
\(634\) | 30.2993 | 1.20334 | ||||||||
\(635\) | 2.75402 | + | 3.02198i | 0.109290 | + | 0.119924i | ||||
\(636\) | 24.9910 | 0.990958 | ||||||||
\(637\) | − | 0.837615i | − | 0.0331875i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −8.40424 | −0.332466 | ||||||||
\(640\) | −59.0739 | − | 64.8217i | −2.33510 | − | 2.56230i | ||||
\(641\) | 9.17095 | 0.362231 | 0.181115 | − | 0.983462i | \(-0.442029\pi\) | ||||
0.181115 | + | 0.983462i | \(0.442029\pi\) | |||||||
\(642\) | − | 4.76397i | − | 0.188019i | ||||||
\(643\) | − | 10.8962i | − | 0.429704i | −0.976647 | − | 0.214852i | \(-0.931073\pi\) | ||
0.976647 | − | 0.214852i | \(-0.0689269\pi\) | |||||||
\(644\) | 141.257 | 5.56631 | ||||||||
\(645\) | 1.42054 | − | 1.29458i | 0.0559336 | − | 0.0509739i | ||||
\(646\) | 0.0791648 | 0.00311470 | ||||||||
\(647\) | − | 2.47728i | − | 0.0973921i | −0.998814 | − | 0.0486960i | \(-0.984493\pi\) | ||
0.998814 | − | 0.0486960i | \(-0.0155066\pi\) | |||||||
\(648\) | 9.52186i | 0.374054i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.0993568 | − | 1.06853i | 0.00389710 | − | 0.0419111i | ||||
\(651\) | 13.6183 | 0.533744 | ||||||||
\(652\) | − | 80.7752i | − | 3.16340i | ||||||
\(653\) | 27.9010i | 1.09185i | 0.837833 | + | 0.545926i | \(0.183822\pi\) | ||||
−0.837833 | + | 0.545926i | \(0.816178\pi\) | |||||||
\(654\) | 15.1182 | 0.591169 | ||||||||
\(655\) | 1.80819 | − | 1.64785i | 0.0706517 | − | 0.0643869i | ||||
\(656\) | 57.9425 | 2.26227 | ||||||||
\(657\) | 15.1913i | 0.592668i | ||||||||
\(658\) | − | 21.8329i | − | 0.851134i | ||||||
\(659\) | 3.19475 | 0.124450 | 0.0622250 | − | 0.998062i | \(-0.480180\pi\) | ||||
0.0622250 | + | 0.998062i | \(0.480180\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.8273 | −0.576717 | −0.288358 | − | 0.957523i | \(-0.593109\pi\) | ||||
−0.288358 | + | 0.957523i | \(0.593109\pi\) | |||||||
\(662\) | − | 74.0852i | − | 2.87940i | ||||||
\(663\) | 0.00179356i | 6.96561e-5i | ||||||||
\(664\) | −137.700 | −5.34381 | ||||||||
\(665\) | 8.01813 | + | 8.79828i | 0.310930 | + | 0.341183i | ||||
\(666\) | 23.7412 | 0.919953 | ||||||||
\(667\) | − | 35.9198i | − | 1.39082i | ||||||
\(668\) | 4.44414i | 0.171949i | ||||||||
\(669\) | −6.43212 | −0.248680 | ||||||||
\(670\) | −1.83872 | + | 1.67568i | −0.0710361 | + | 0.0647373i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 93.3614i | 3.60149i | ||||||||
\(673\) | 22.7828i | 0.878211i | 0.898436 | + | 0.439105i | \(0.144705\pi\) | ||||
−0.898436 | + | 0.439105i | \(0.855295\pi\) | |||||||
\(674\) | 57.1851 | 2.20269 | ||||||||
\(675\) | −4.97852 | − | 0.462928i | −0.191623 | − | 0.0178181i | ||||
\(676\) | −71.2225 | −2.73933 | ||||||||
\(677\) | − | 18.8485i | − | 0.724405i | −0.932099 | − | 0.362203i | \(-0.882025\pi\) | ||
0.932099 | − | 0.362203i | \(-0.117975\pi\) | |||||||
\(678\) | 22.9355i | 0.880832i | ||||||||
\(679\) | 6.93663 | 0.266204 | ||||||||
\(680\) | −0.359698 | + | 0.327803i | −0.0137938 | + | 0.0125707i | ||||
\(681\) | −14.5875 | −0.558994 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 18.3894i | − | 0.703650i | −0.936066 | − | 0.351825i | \(-0.885561\pi\) | ||
0.936066 | − | 0.351825i | \(-0.114439\pi\) | |||||||
\(684\) | −6.94075 | −0.265386 | ||||||||
\(685\) | 25.6950 | + | 28.1951i | 0.981754 | + | 1.07728i | ||||
\(686\) | −42.2528 | −1.61322 | ||||||||
\(687\) | 16.1992i | 0.618038i | ||||||||
\(688\) | 12.9629i | 0.494205i | ||||||||
\(689\) | −0.357769 | −0.0136299 | ||||||||
\(690\) | −25.2533 | − | 27.7104i | −0.961375 | − | 1.05492i | ||||
\(691\) | −18.0662 | −0.687269 | −0.343635 | − | 0.939103i | \(-0.611658\pi\) | ||||
−0.343635 | + | 0.939103i | \(0.611658\pi\) | |||||||
\(692\) | 93.9890i | 3.57292i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 41.8647 | 1.58916 | ||||||||
\(695\) | −23.6386 | + | 21.5426i | −0.896664 | + | 0.817156i | ||||
\(696\) | 55.7954 | 2.11492 | ||||||||
\(697\) | − | 0.0878150i | − | 0.00332623i | ||||||
\(698\) | 1.73561i | 0.0656938i | ||||||||
\(699\) | −8.58800 | −0.324828 | ||||||||
\(700\) | −114.724 | − | 10.6676i | −4.33615 | − | 0.403197i | ||||
\(701\) | 22.5834 | 0.852963 | 0.426481 | − | 0.904496i | \(-0.359753\pi\) | ||||
0.426481 | + | 0.904496i | \(0.359753\pi\) | |||||||
\(702\) | − | 0.214627i | − | 0.00810058i | ||||||
\(703\) | 10.9911i | 0.414539i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.13797 | + | 2.85972i | −0.118183 | + | 0.107703i | ||||
\(706\) | 50.7604 | 1.91039 | ||||||||
\(707\) | − | 67.4897i | − | 2.53821i | ||||||
\(708\) | − | 18.8650i | − | 0.708992i | ||||||
\(709\) | −39.7417 | −1.49253 | −0.746266 | − | 0.665648i | \(-0.768155\pi\) | ||||
−0.746266 | + | 0.665648i | \(0.768155\pi\) | |||||||
\(710\) | 34.6225 | + | 37.9912i | 1.29936 | + | 1.42578i | ||||
\(711\) | 13.2182 | 0.495723 | ||||||||
\(712\) | 78.0559i | 2.92527i | ||||||||
\(713\) | − | 19.8567i | − | 0.743640i | ||||||
\(714\) | 0.262832 | 0.00983625 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −20.6733 | −0.772596 | ||||||||
\(717\) | 6.29874i | 0.235231i | ||||||||
\(718\) | − | 46.1339i | − | 1.72170i | ||||||
\(719\) | 13.2796 | 0.495247 | 0.247624 | − | 0.968856i | \(-0.420350\pi\) | ||||
0.247624 | + | 0.968856i | \(0.420350\pi\) | |||||||
\(720\) | 24.9255 | − | 22.7154i | 0.928920 | − | 0.846552i | ||||
\(721\) | 68.5689 | 2.55364 | ||||||||
\(722\) | 47.5828i | 1.77085i | ||||||||
\(723\) | − | 1.13776i | − | 0.0423139i | ||||||
\(724\) | 28.3730 | 1.05447 | ||||||||
\(725\) | −2.71263 | + | 29.1727i | −0.100744 | + | 1.08345i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 40.1610i | − | 1.48949i | −0.667349 | − | 0.744745i | \(-0.732571\pi\) | ||
0.667349 | − | 0.744745i | \(-0.267429\pi\) | |||||||
\(728\) | − | 3.14118i | − | 0.116420i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 68.6718 | − | 62.5826i | 2.54166 | − | 2.31629i | ||||
\(731\) | 0.0196459 | 0.000726632 | ||||||||
\(732\) | 44.5703i | 1.64736i | ||||||||
\(733\) | 16.6840i | 0.616237i | 0.951348 | + | 0.308119i | \(0.0996994\pi\) | ||||
−0.951348 | + | 0.308119i | \(0.900301\pi\) | |||||||
\(734\) | −33.8129 | −1.24806 | ||||||||
\(735\) | 16.0775 | + | 17.6419i | 0.593029 | + | 0.650730i | ||||
\(736\) | 136.129 | 5.01779 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 10.5084i | 0.386820i | ||||||||
\(739\) | 30.0698 | 1.10614 | 0.553068 | − | 0.833136i | \(-0.313457\pi\) | ||||
0.553068 | + | 0.833136i | \(0.313457\pi\) | |||||||
\(740\) | −71.6586 | − | 78.6309i | −2.63422 | − | 2.89053i | ||||
\(741\) | 0.0993630 | 0.00365019 | ||||||||
\(742\) | 52.4282i | 1.92470i | ||||||||
\(743\) | − | 8.68420i | − | 0.318593i | −0.987231 | − | 0.159296i | \(-0.949077\pi\) | ||
0.987231 | − | 0.159296i | \(-0.0509225\pi\) | |||||||
\(744\) | 30.8441 | 1.13080 | ||||||||
\(745\) | 27.4662 | − | 25.0308i | 1.00628 | − | 0.917056i | ||||
\(746\) | −35.5839 | −1.30282 | ||||||||
\(747\) | − | 14.4615i | − | 0.529119i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 7.32244 | 0.267556 | ||||||||
\(750\) | 18.4171 | + | 24.4124i | 0.672497 | + | 0.891416i | ||||
\(751\) | −34.1267 | −1.24530 | −0.622651 | − | 0.782500i | \(-0.713944\pi\) | ||||
−0.622651 | + | 0.782500i | \(0.713944\pi\) | |||||||
\(752\) | − | 28.6350i | − | 1.04421i | ||||||
\(753\) | 3.82996i | 0.139572i | ||||||||
\(754\) | −1.25765 | −0.0458011 | ||||||||
\(755\) | 11.4000 | − | 10.3892i | 0.414889 | − | 0.378100i | ||||
\(756\) | −23.0437 | −0.838092 | ||||||||
\(757\) | − | 36.1782i | − | 1.31492i | −0.753490 | − | 0.657459i | \(-0.771631\pi\) | ||
0.753490 | − | 0.657459i | \(-0.228369\pi\) | |||||||
\(758\) | − | 74.4817i | − | 2.70530i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 18.1602 | + | 19.9272i | 0.658741 | + | 0.722836i | ||||
\(761\) | −22.4924 | −0.815350 | −0.407675 | − | 0.913127i | \(-0.633660\pi\) | ||||
−0.407675 | + | 0.913127i | \(0.633660\pi\) | |||||||
\(762\) | − | 5.00128i | − | 0.181177i | ||||||
\(763\) | 23.2374i | 0.841250i | ||||||||
\(764\) | 143.224 | 5.18167 | ||||||||
\(765\) | −0.0344264 | − | 0.0377760i | −0.00124469 | − | 0.00136579i | ||||
\(766\) | −31.4708 | −1.13708 | ||||||||
\(767\) | 0.270070i | 0.00975165i | ||||||||
\(768\) | 46.1223i | 1.66429i | ||||||||
\(769\) | 12.2384 | 0.441327 | 0.220664 | − | 0.975350i | \(-0.429178\pi\) | ||||
0.220664 | + | 0.975350i | \(0.429178\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.67810 | 0.348548 | ||||||||
\(772\) | 67.6339i | 2.43420i | ||||||||
\(773\) | 41.3335i | 1.48666i | 0.668923 | + | 0.743332i | \(0.266756\pi\) | ||||
−0.668923 | + | 0.743332i | \(0.733244\pi\) | |||||||
\(774\) | −2.35094 | −0.0845028 | ||||||||
\(775\) | −1.49956 | + | 16.1269i | −0.0538657 | + | 0.579295i | ||||
\(776\) | 15.7108 | 0.563984 | ||||||||
\(777\) | 36.4913i | 1.30912i | ||||||||
\(778\) | 62.9815i | 2.25800i | ||||||||
\(779\) | −4.86494 | −0.174304 | ||||||||
\(780\) | −0.710845 | + | 0.647813i | −0.0254523 | + | 0.0231954i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 0.383233i | − | 0.0137044i | ||||||
\(783\) | 5.85972i | 0.209409i | ||||||||
\(784\) | −160.988 | −5.74957 | ||||||||
\(785\) | 24.5612 | + | 26.9509i | 0.876626 | + | 0.961920i | ||||
\(786\) | −2.99249 | −0.106739 | ||||||||
\(787\) | − | 9.26481i | − | 0.330255i | −0.986272 | − | 0.165127i | \(-0.947196\pi\) | ||
0.986272 | − | 0.165127i | \(-0.0528035\pi\) | |||||||
\(788\) | − | 28.3123i | − | 1.00858i | ||||||
\(789\) | 19.0954 | 0.679813 | ||||||||
\(790\) | −54.4545 | − | 59.7528i | −1.93740 | − | 2.12591i | ||||
\(791\) | −35.2529 | −1.25345 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 0.638063i | − | 0.0226583i | ||||||
\(794\) | 22.9063 | 0.812915 | ||||||||
\(795\) | 7.53533 | − | 6.86716i | 0.267251 | − | 0.243553i | ||||
\(796\) | 43.4557 | 1.54024 | ||||||||
\(797\) | 46.0523i | 1.63126i | 0.578577 | + | 0.815628i | \(0.303608\pi\) | ||||
−0.578577 | + | 0.815628i | \(0.696392\pi\) | |||||||
\(798\) | − | 14.5609i | − | 0.515449i | ||||||
\(799\) | −0.0433979 | −0.00153531 | ||||||||
\(800\) | −110.559 | − | 10.2803i | −3.90886 | − | 0.363465i | ||||
\(801\) | −8.19755 | −0.289646 | ||||||||
\(802\) | − | 104.967i | − | 3.70653i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 2.22952 | 0.0786291 | ||||||||
\(805\) | 42.5920 | − | 38.8154i | 1.50117 | − | 1.36806i | ||||
\(806\) | −0.695240 | −0.0244888 | ||||||||
\(807\) | − | 17.4899i | − | 0.615675i | ||||||
\(808\) | − | 152.857i | − | 5.37750i | ||||||
\(809\) | −2.69777 | −0.0948485 | −0.0474243 | − | 0.998875i | \(-0.515101\pi\) | ||||
−0.0474243 | + | 0.998875i | \(0.515101\pi\) | |||||||
\(810\) | 4.11965 | + | 4.52048i | 0.144750 | + | 0.158834i | ||||
\(811\) | −25.1697 | −0.883828 | −0.441914 | − | 0.897057i | \(-0.645700\pi\) | ||||
−0.441914 | + | 0.897057i | \(0.645700\pi\) | |||||||
\(812\) | 135.030i | 4.73862i | ||||||||
\(813\) | − | 23.8385i | − | 0.836053i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −22.1958 | − | 24.3555i | −0.777486 | − | 0.853135i | ||||
\(816\) | 0.344719 | 0.0120676 | ||||||||
\(817\) | − | 1.08838i | − | 0.0380777i | ||||||
\(818\) | 97.5452i | 3.41059i | ||||||||
\(819\) | 0.329891 | 0.0115273 | ||||||||
\(820\) | 34.8039 | − | 31.7178i | 1.21540 | − | 1.10763i | ||||
\(821\) | −16.3843 | −0.571814 | −0.285907 | − | 0.958257i | \(-0.592295\pi\) | ||||
−0.285907 | + | 0.958257i | \(0.592295\pi\) | |||||||
\(822\) | − | 46.6619i | − | 1.62752i | ||||||
\(823\) | 37.9024i | 1.32120i | 0.750740 | + | 0.660598i | \(0.229697\pi\) | ||||
−0.750740 | + | 0.660598i | \(0.770303\pi\) | |||||||
\(824\) | 155.302 | 5.41019 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 39.5766 | 1.37705 | ||||||||
\(827\) | 38.4533i | 1.33715i | 0.743644 | + | 0.668575i | \(0.233096\pi\) | ||||
−0.743644 | + | 0.668575i | \(0.766904\pi\) | |||||||
\(828\) | 33.5998i | 1.16767i | ||||||||
\(829\) | −31.9916 | −1.11111 | −0.555557 | − | 0.831479i | \(-0.687495\pi\) | ||||
−0.555557 | + | 0.831479i | \(0.687495\pi\) | |||||||
\(830\) | −65.3730 | + | 59.5763i | −2.26913 | + | 2.06792i | ||||
\(831\) | 4.93692 | 0.171260 | ||||||||
\(832\) | − | 2.39940i | − | 0.0831842i | ||||||
\(833\) | 0.243986i | 0.00845361i | ||||||||
\(834\) | 39.1211 | 1.35465 | ||||||||
\(835\) | 1.22118 | + | 1.34000i | 0.0422608 | + | 0.0463728i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.23929i | 0.111966i | ||||||||
\(838\) | 76.7904i | 2.65268i | ||||||||
\(839\) | 28.5217 | 0.984680 | 0.492340 | − | 0.870403i | \(-0.336142\pi\) | ||||
0.492340 | + | 0.870403i | \(0.336142\pi\) | |||||||
\(840\) | 60.2932 | + | 66.1596i | 2.08031 | + | 2.28272i | ||||
\(841\) | 5.33630 | 0.184010 | ||||||||
\(842\) | 110.218i | 3.79838i | ||||||||
\(843\) | − | 2.13091i | − | 0.0733925i | ||||||
\(844\) | 112.849 | 3.88443 | ||||||||
\(845\) | −21.4751 | + | 19.5709i | −0.738766 | + | 0.673259i | ||||
\(846\) | 5.19323 | 0.178547 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 68.7625i | 2.36131i | ||||||||
\(849\) | −17.2239 | −0.591121 | ||||||||
\(850\) | −0.0289413 | + | 0.311247i | −0.000992679 | + | 0.0106757i | ||||
\(851\) | 53.2076 | 1.82393 | ||||||||
\(852\) | − | 46.0657i | − | 1.57818i | ||||||
\(853\) | 15.4094i | 0.527607i | 0.964576 | + | 0.263804i | \(0.0849771\pi\) | ||||
−0.964576 | + | 0.263804i | \(0.915023\pi\) | |||||||
\(854\) | −93.5031 | −3.19961 | ||||||||
\(855\) | −2.09278 | + | 1.90722i | −0.0715717 | + | 0.0652254i | ||||
\(856\) | 16.5846 | 0.566849 | ||||||||
\(857\) | 33.8611i | 1.15667i | 0.815798 | + | 0.578336i | \(0.196298\pi\) | ||||
−0.815798 | + | 0.578336i | \(0.803702\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −44.0831 | −1.50410 | −0.752048 | − | 0.659109i | \(-0.770934\pi\) | ||||
−0.752048 | + | 0.659109i | \(0.770934\pi\) | |||||||
\(860\) | 7.09589 | + | 7.78631i | 0.241968 | + | 0.265511i | ||||
\(861\) | −16.1519 | −0.550455 | ||||||||
\(862\) | 47.1503i | 1.60595i | ||||||||
\(863\) | − | 9.86583i | − | 0.335837i | −0.985801 | − | 0.167918i | \(-0.946295\pi\) | ||
0.985801 | − | 0.167918i | \(-0.0537045\pi\) | |||||||
\(864\) | −22.2072 | −0.755505 | ||||||||
\(865\) | 25.8268 | + | 28.3397i | 0.878137 | + | 0.963579i | ||||
\(866\) | −46.7412 | −1.58833 | ||||||||
\(867\) | 16.9995i | 0.577333i | ||||||||
\(868\) | 74.6453i | 2.53363i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 26.4888 | − | 24.1400i | 0.898053 | − | 0.818421i | ||||
\(871\) | −0.0319175 | −0.00108148 | ||||||||
\(872\) | 52.6303i | 1.78229i | ||||||||
\(873\) | 1.64997i | 0.0558429i | ||||||||
\(874\) | −21.2310 | −0.718151 | ||||||||
\(875\) | −37.5230 | + | 28.3079i | −1.26851 | + | 0.956981i | ||||
\(876\) | −83.2671 | −2.81333 | ||||||||
\(877\) | − | 33.4906i | − | 1.13090i | −0.824784 | − | 0.565449i | \(-0.808703\pi\) | ||
0.824784 | − | 0.565449i | \(-0.191297\pi\) | |||||||
\(878\) | − | 5.40059i | − | 0.182261i | ||||||
\(879\) | −19.1742 | −0.646729 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0.0156474 | 0.000527176 | 0.000263588 | − | 1.00000i | \(-0.499916\pi\) | ||||
0.000263588 | 1.00000i | \(0.499916\pi\) | ||||||||
\(882\) | − | 29.1967i | − | 0.983104i | ||||||
\(883\) | − | 10.5718i | − | 0.355768i | −0.984051 | − | 0.177884i | \(-0.943075\pi\) | ||
0.984051 | − | 0.177884i | \(-0.0569253\pi\) | |||||||
\(884\) | −0.00983095 | −0.000330651 | ||||||||
\(885\) | −5.18384 | − | 5.68822i | −0.174253 | − | 0.191207i | ||||
\(886\) | −71.8465 | −2.41373 | ||||||||
\(887\) | − | 38.9927i | − | 1.30925i | −0.755955 | − | 0.654623i | \(-0.772827\pi\) | ||
0.755955 | − | 0.654623i | \(-0.227173\pi\) | |||||||
\(888\) | 82.6490i | 2.77352i | ||||||||
\(889\) | 7.68719 | 0.257820 | ||||||||
\(890\) | 33.7710 | + | 37.0569i | 1.13201 | + | 1.24215i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 35.2560i | − | 1.18046i | ||||||
\(893\) | 2.40424i | 0.0804547i | ||||||||
\(894\) | −45.4557 | −1.52027 | ||||||||
\(895\) | −6.23343 | + | 5.68071i | −0.208361 | + | 0.189885i | ||||
\(896\) | −164.891 | −5.50861 | ||||||||
\(897\) | − | 0.481011i | − | 0.0160605i | ||||||
\(898\) | 18.5034i | 0.617467i | ||||||||
\(899\) | 18.9813 | 0.633063 | ||||||||
\(900\) | 2.53742 | − | 27.2885i | 0.0845807 | − | 0.909617i | ||||
\(901\) | 0.104213 | 0.00347185 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 3.61350i | − | 0.120250i | ||||||
\(904\) | −79.8441 | −2.65558 | ||||||||
\(905\) | 8.55506 | − | 7.79647i | 0.284380 | − | 0.259163i | ||||
\(906\) | −18.8666 | −0.626802 | ||||||||
\(907\) | − | 28.0569i | − | 0.931614i | −0.884886 | − | 0.465807i | \(-0.845764\pi\) | ||
0.884886 | − | 0.465807i | \(-0.154236\pi\) | |||||||
\(908\) | − | 79.9576i | − | 2.65349i | ||||||
\(909\) | 16.0533 | 0.532454 | ||||||||
\(910\) | −1.35904 | − | 1.49127i | −0.0450516 | − | 0.0494350i | ||||
\(911\) | 19.9816 | 0.662018 | 0.331009 | − | 0.943628i | \(-0.392611\pi\) | ||||
0.331009 | + | 0.943628i | \(0.392611\pi\) | |||||||
\(912\) | − | 19.0974i | − | 0.632377i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −68.8984 | −2.27896 | ||||||||
\(915\) | 12.2473 | + | 13.4389i | 0.404882 | + | 0.444276i | ||||
\(916\) | −88.7918 | −2.93376 | ||||||||
\(917\) | − | 4.59959i | − | 0.151892i | ||||||
\(918\) | 0.0625180i | 0.00206340i | ||||||||
\(919\) | −29.0321 | −0.957681 | −0.478840 | − | 0.877902i | \(-0.658943\pi\) | ||||
−0.478840 | + | 0.877902i | \(0.658943\pi\) | |||||||
\(920\) | 96.4666 | − | 87.9128i | 3.18041 | − | 2.89840i | ||||
\(921\) | −12.0936 | −0.398497 | ||||||||
\(922\) | 108.941i | 3.58777i | ||||||||
\(923\) | 0.659471i | 0.0217068i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −43.2132 | − | 4.01818i | −1.42084 | − | 0.132117i | ||||
\(926\) | −105.684 | −3.47301 | ||||||||
\(927\) | 16.3100i | 0.535691i | ||||||||
\(928\) | 130.128i | 4.27166i | ||||||||
\(929\) | −10.8422 | −0.355721 | −0.177860 | − | 0.984056i | \(-0.556918\pi\) | ||||
−0.177860 | + | 0.984056i | \(0.556918\pi\) | |||||||
\(930\) | 14.6432 | − | 13.3447i | 0.480168 | − | 0.437591i | ||||
\(931\) | 13.5168 | 0.442995 | ||||||||
\(932\) | − | 47.0729i | − | 1.54193i | ||||||
\(933\) | 10.5043i | 0.343895i | ||||||||
\(934\) | −29.0775 | −0.951446 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.747170 | 0.0244220 | ||||||||
\(937\) | 37.2335i | 1.21637i | 0.793797 | + | 0.608183i | \(0.208101\pi\) | ||||
−0.793797 | + | 0.608183i | \(0.791899\pi\) | |||||||
\(938\) | 4.67727i | 0.152718i | ||||||||
\(939\) | −0.223857 | −0.00730530 | ||||||||
\(940\) | −15.6748 | − | 17.2000i | −0.511256 | − | 0.561001i | ||||
\(941\) | 27.3449 | 0.891419 | 0.445709 | − | 0.895178i | \(-0.352951\pi\) | ||||
0.445709 | + | 0.895178i | \(0.352951\pi\) | |||||||
\(942\) | − | 44.6029i | − | 1.45324i | ||||||
\(943\) | 23.5509i | 0.766924i | ||||||||
\(944\) | 51.9069 | 1.68943 | ||||||||
\(945\) | −6.94818 | + | 6.33208i | −0.226024 | + | 0.205982i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 10.7746i | − | 0.350126i | −0.984557 | − | 0.175063i | \(-0.943987\pi\) | ||
0.984557 | − | 0.175063i | \(-0.0560130\pi\) | |||||||
\(948\) | 72.4525i | 2.35315i | ||||||||
\(949\) | 1.19204 | 0.0386953 | ||||||||
\(950\) | 17.2431 | + | 1.60335i | 0.559439 | + | 0.0520194i | ||||
\(951\) | −11.0776 | −0.359215 | ||||||||
\(952\) | 0.914984i | 0.0296548i | ||||||||
\(953\) | 0.814050i | 0.0263697i | 0.999913 | + | 0.0131848i | \(0.00419698\pi\) | ||||
−0.999913 | + | 0.0131848i | \(0.995803\pi\) | |||||||
\(954\) | −12.4707 | −0.403755 | ||||||||
\(955\) | 43.1852 | − | 39.3559i | 1.39744 | − | 1.27353i | ||||
\(956\) | −34.5250 | −1.11662 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 103.051i | 3.32942i | ||||||||
\(959\) | 71.7214 | 2.31600 | ||||||||
\(960\) | 46.0551 | + | 50.5362i | 1.48642 | + | 1.63105i | ||||
\(961\) | −20.5070 | −0.661516 | ||||||||
\(962\) | − | 1.86295i | − | 0.0600638i | ||||||
\(963\) | 1.74174i | 0.0561267i | ||||||||
\(964\) | 6.23637 | 0.200860 | ||||||||
\(965\) | 18.5848 | + | 20.3931i | 0.598266 | + | 0.656476i | ||||
\(966\) | −70.4884 | −2.26793 | ||||||||
\(967\) | − | 3.35764i | − | 0.107974i | −0.998542 | − | 0.0539872i | \(-0.982807\pi\) | ||
0.998542 | − | 0.0539872i | \(-0.0171930\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0289431 | −0.000929786 | ||||||||
\(970\) | 7.45865 | − | 6.79728i | 0.239483 | − | 0.218248i | ||||
\(971\) | −56.1483 | −1.80189 | −0.900943 | − | 0.433937i | \(-0.857124\pi\) | ||||
−0.900943 | + | 0.433937i | \(0.857124\pi\) | |||||||
\(972\) | − | 5.48125i | − | 0.175811i | ||||||
\(973\) | 60.1309i | 1.92771i | ||||||||
\(974\) | 92.6516 | 2.96875 | ||||||||
\(975\) | −0.0363254 | + | 0.390659i | −0.00116334 | + | 0.0125111i | ||||
\(976\) | −122.634 | −3.92543 | ||||||||
\(977\) | − | 48.9637i | − | 1.56649i | −0.621716 | − | 0.783243i | \(-0.713564\pi\) | ||
0.621716 | − | 0.783243i | \(-0.286436\pi\) | |||||||
\(978\) | 40.3075i | 1.28889i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −96.6994 | + | 88.1249i | −3.08895 | + | 2.81505i | ||||
\(981\) | −5.52731 | −0.176473 | ||||||||
\(982\) | 12.2049i | 0.389473i | ||||||||
\(983\) | − | 1.28160i | − | 0.0408768i | −0.999791 | − | 0.0204384i | \(-0.993494\pi\) | ||
0.999791 | − | 0.0204384i | \(-0.00650620\pi\) | |||||||
\(984\) | −36.5824 | −1.16620 | ||||||||
\(985\) | −7.77980 | − | 8.53677i | −0.247885 | − | 0.272004i | ||||
\(986\) | 0.366338 | 0.0116666 | ||||||||
\(987\) | 7.98222i | 0.254077i | ||||||||
\(988\) | 0.544633i | 0.0173271i | ||||||||
\(989\) | −5.26881 | −0.167538 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.4347 | 0.680896 | 0.340448 | − | 0.940263i | \(-0.389421\pi\) | ||||
0.340448 | + | 0.940263i | \(0.389421\pi\) | |||||||
\(992\) | 71.9356i | 2.28396i | ||||||||
\(993\) | 27.0860i | 0.859547i | ||||||||
\(994\) | 96.6404 | 3.06525 | ||||||||
\(995\) | 13.1028 | − | 11.9410i | 0.415387 | − | 0.378554i | ||||
\(996\) | 79.2671 | 2.51167 | ||||||||
\(997\) | 43.1737i | 1.36732i | 0.729799 | + | 0.683662i | \(0.239614\pi\) | ||||
−0.729799 | + | 0.683662i | \(0.760386\pi\) | |||||||
\(998\) | − | 83.6880i | − | 2.64910i | ||||||
\(999\) | −8.67992 | −0.274621 |
(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.364.1 | yes | 12 | |
5.2 | odd | 4 | 9075.2.a.ds.1.6 | 6 | |||
5.3 | odd | 4 | 9075.2.a.do.1.1 | 6 | |||
5.4 | even | 2 | inner | 1815.2.c.i.364.12 | yes | 12 | |
11.10 | odd | 2 | 1815.2.c.h.364.12 | yes | 12 | ||
55.32 | even | 4 | 9075.2.a.dp.1.1 | 6 | |||
55.43 | even | 4 | 9075.2.a.dr.1.6 | 6 | |||
55.54 | odd | 2 | 1815.2.c.h.364.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1815.2.c.h.364.1 | ✓ | 12 | 55.54 | odd | 2 | ||
1815.2.c.h.364.12 | yes | 12 | 11.10 | odd | 2 | ||
1815.2.c.i.364.1 | yes | 12 | 1.1 | even | 1 | trivial | |
1815.2.c.i.364.12 | yes | 12 | 5.4 | even | 2 | inner | |
9075.2.a.do.1.1 | 6 | 5.3 | odd | 4 | |||
9075.2.a.dp.1.1 | 6 | 55.32 | even | 4 | |||
9075.2.a.dr.1.6 | 6 | 55.43 | even | 4 | |||
9075.2.a.ds.1.6 | 6 | 5.2 | odd | 4 |