Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,6,Mod(45,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.45");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.1891703058\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 2 x^{17} + 1540 x^{16} - 768 x^{15} + 1608492 x^{14} - 1027368 x^{13} + 897054160 x^{12} + \cdots + 80\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{16}\cdot 3^{3}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 49.9 | ||
Root | \(-12.9311 - 22.3974i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.49 |
Dual form | 76.6.e.a.45.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 12.4311 | − | 21.5314i | 0.797458 | − | 1.38124i | −0.123809 | − | 0.992306i | \(-0.539511\pi\) |
0.921267 | − | 0.388932i | \(-0.127156\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −18.0963 | + | 31.3437i | −0.323717 | + | 0.560694i | −0.981252 | − | 0.192730i | \(-0.938266\pi\) |
0.657535 | + | 0.753424i | \(0.271599\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −208.885 | −1.61125 | −0.805624 | − | 0.592427i | \(-0.798170\pi\) | ||||
−0.805624 | + | 0.592427i | \(0.798170\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −187.566 | − | 324.875i | −0.771879 | − | 1.33693i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −204.444 | −0.509440 | −0.254720 | − | 0.967015i | \(-0.581983\pi\) | ||||
−0.254720 | + | 0.967015i | \(0.581983\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −146.736 | − | 254.155i | −0.240813 | − | 0.417100i | 0.720133 | − | 0.693836i | \(-0.244081\pi\) |
−0.960946 | + | 0.276736i | \(0.910747\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 449.916 | + | 779.277i | 0.516301 | + | 0.894260i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −850.109 | + | 1472.43i | −0.713432 | + | 1.23570i | 0.250130 | + | 0.968212i | \(0.419527\pi\) |
−0.963561 | + | 0.267488i | \(0.913807\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1329.36 | − | 841.960i | 0.844810 | − | 0.535066i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2596.68 | + | 4497.58i | −1.28490 | + | 2.22552i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1768.22 | − | 3062.65i | −0.696975 | − | 1.20720i | −0.969510 | − | 0.245051i | \(-0.921195\pi\) |
0.272535 | − | 0.962146i | \(-0.412138\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 907.547 | + | 1571.92i | 0.290415 | + | 0.503013i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3285.13 | −0.867247 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3204.96 | − | 5551.15i | −0.707664 | − | 1.22571i | −0.965722 | − | 0.259580i | \(-0.916416\pi\) |
0.258058 | − | 0.966130i | \(-0.416918\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2731.24 | −0.510452 | −0.255226 | − | 0.966881i | \(-0.582150\pi\) | ||||
−0.255226 | + | 0.966881i | \(0.582150\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2541.47 | + | 4401.96i | −0.406257 | + | 0.703658i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3780.05 | − | 6547.24i | 0.521588 | − | 0.903417i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5427.82 | −0.651811 | −0.325905 | − | 0.945402i | \(-0.605669\pi\) | ||||
−0.325905 | + | 0.945402i | \(0.605669\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7296.40 | −0.768152 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3692.75 | + | 6396.03i | −0.343076 | + | 0.594225i | −0.985002 | − | 0.172541i | \(-0.944802\pi\) |
0.641926 | + | 0.766766i | \(0.278135\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7870.13 | − | 13631.5i | 0.649099 | − | 1.12427i | −0.334240 | − | 0.942488i | \(-0.608480\pi\) |
0.983339 | − | 0.181784i | \(-0.0581871\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 13577.1 | 0.999480 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9723.97 | + | 16842.4i | 0.642094 | + | 1.11214i | 0.984964 | + | 0.172757i | \(0.0552676\pi\) |
−0.342870 | + | 0.939383i | \(0.611399\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 26826.0 | 1.59612 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 21135.7 | + | 36608.0i | 1.13786 | + | 1.97084i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4290.51 | − | 7431.39i | −0.209807 | − | 0.363396i | 0.741847 | − | 0.670569i | \(-0.233950\pi\) |
−0.951654 | + | 0.307173i | \(0.900617\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3699.69 | − | 6408.05i | 0.164914 | − | 0.285640i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1603.08 | − | 39089.5i | −0.0653532 | − | 1.59358i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 13969.1 | − | 24195.1i | 0.522441 | − | 0.904894i | −0.477218 | − | 0.878785i | \(-0.658355\pi\) |
0.999659 | − | 0.0261092i | \(-0.00831175\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −15366.2 | − | 26615.0i | −0.528739 | − | 0.915803i | −0.999438 | − | 0.0335090i | \(-0.989332\pi\) |
0.470700 | − | 0.882294i | \(-0.344002\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 39179.8 | + | 67861.5i | 1.24369 | + | 2.15413i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10621.5 | 0.311820 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −24126.9 | − | 41788.9i | −0.656619 | − | 1.13730i | −0.981485 | − | 0.191538i | \(-0.938652\pi\) |
0.324866 | − | 0.945760i | \(-0.394681\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −87924.1 | −2.22323 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3430.92 | + | 5942.53i | −0.0807727 | + | 0.139902i | −0.903582 | − | 0.428415i | \(-0.859072\pi\) |
0.822809 | + | 0.568317i | \(0.192405\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 19300.4 | − | 33429.3i | 0.423897 | − | 0.734210i | −0.572420 | − | 0.819961i | \(-0.693995\pi\) |
0.996317 | + | 0.0857501i | \(0.0273287\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 45127.4 | 0.926375 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 42705.4 | 0.820834 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −32155.8 | + | 55695.5i | −0.579684 | + | 1.00404i | 0.415831 | + | 0.909442i | \(0.363491\pi\) |
−0.995515 | + | 0.0946008i | \(0.969843\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4740.78 | − | 8211.28i | 0.0802856 | − | 0.139059i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 71525.2 | 1.13963 | 0.569815 | − | 0.821773i | \(-0.307015\pi\) | ||||
0.569815 | + | 0.821773i | \(0.307015\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −30767.7 | − | 53291.2i | −0.461900 | − | 0.800034i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −159365. | −2.25733 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −23256.6 | − | 40281.7i | −0.311223 | − | 0.539054i | 0.667404 | − | 0.744696i | \(-0.267405\pi\) |
−0.978627 | + | 0.205641i | \(0.934072\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 30651.0 | + | 53089.2i | 0.388009 | + | 0.672051i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −33952.4 | + | 58807.3i | −0.407064 | + | 0.705056i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2333.64 | + | 56903.5i | 0.0265292 | + | 0.646890i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −45206.3 | + | 78299.6i | −0.487831 | + | 0.844949i | −0.999902 | − | 0.0139945i | \(-0.995545\pi\) |
0.512071 | + | 0.858943i | \(0.328879\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 38346.9 | + | 66418.7i | 0.393226 | + | 0.681087i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 73036.4 | + | 126503.i | 0.712420 | + | 1.23395i | 0.963946 | + | 0.266097i | \(0.0857340\pi\) |
−0.251527 | + | 0.967850i | \(0.580933\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −85248.6 | −0.791761 | −0.395880 | − | 0.918302i | \(-0.629561\pi\) | ||||
−0.395880 | + | 0.918302i | \(0.629561\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −93980.7 | − | 162779.i | −0.831889 | − | 1.44087i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −28226.4 | −0.238339 | −0.119170 | − | 0.992874i | \(-0.538023\pi\) | ||||
−0.119170 | + | 0.992874i | \(0.538023\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 109018. | − | 188825.i | 0.878888 | − | 1.52228i | 0.0263250 | − | 0.999653i | \(-0.491620\pi\) |
0.852563 | − | 0.522625i | \(-0.175047\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −67474.0 | + | 116868.i | −0.519792 | + | 0.900305i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −174546. | −1.28592 | −0.642958 | − | 0.765901i | \(-0.722293\pi\) | ||||
−0.642958 | + | 0.765901i | \(0.722293\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 127993. | 0.902490 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −55045.6 | + | 95341.8i | −0.371756 | + | 0.643901i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 177575. | − | 307569.i | 1.14952 | − | 1.99102i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −119254. | −0.740471 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 91810.2 | + | 159020.i | 0.547177 | + | 0.947739i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −178795. | −1.02348 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −71846.8 | − | 124442.i | −0.395274 | − | 0.684634i | 0.597862 | − | 0.801599i | \(-0.296017\pi\) |
−0.993136 | + | 0.116965i | \(0.962684\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −195669. | − | 338909.i | −1.03526 | − | 1.79312i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2867.13 | − | 4966.01i | 0.0145972 | − | 0.0252830i | −0.858635 | − | 0.512588i | \(-0.828687\pi\) |
0.873232 | + | 0.487305i | \(0.162020\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −277684. | + | 175873.i | −1.36120 | + | 0.862125i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 59448.7 | − | 102968.i | 0.280742 | − | 0.486260i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 150187. | + | 260131.i | 0.683645 | + | 1.18411i | 0.973861 | + | 0.227146i | \(0.0729394\pi\) |
−0.290216 | + | 0.956961i | \(0.593727\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 218624. | + | 378668.i | 0.959757 | + | 1.66235i | 0.723087 | + | 0.690757i | \(0.242723\pi\) |
0.236670 | + | 0.971590i | \(0.423944\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 483520. | 2.04817 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 29999.4 | + | 51960.5i | 0.122680 | + | 0.212487i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 231992. | 0.916331 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 333478. | − | 577600.i | 1.27284 | − | 2.20462i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4540.46 | − | 7864.31i | 0.0167546 | − | 0.0290198i | −0.857527 | − | 0.514440i | \(-0.828000\pi\) |
0.874281 | + | 0.485420i | \(0.161333\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 43328.1 | 0.154642 | 0.0773209 | − | 0.997006i | \(-0.475363\pi\) | ||||
0.0773209 | + | 0.997006i | \(0.475363\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 637808. | 2.20273 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 49425.3 | − | 85607.2i | 0.165242 | − | 0.286208i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −50402.1 | + | 87299.0i | −0.163192 | + | 0.282657i | −0.936012 | − | 0.351968i | \(-0.885512\pi\) |
0.772820 | + | 0.634626i | \(0.218846\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −213344. | −0.669248 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 369355. | + | 639742.i | 1.12300 | + | 1.94509i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −315707. | −0.930712 | −0.465356 | − | 0.885124i | \(-0.654074\pi\) | ||||
−0.465356 | + | 0.885124i | \(0.654074\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −91982.7 | − | 159319.i | −0.263024 | − | 0.455572i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 280911. | + | 486551.i | 0.779430 | + | 1.35001i | 0.932271 | + | 0.361761i | \(0.117824\pi\) |
−0.152841 | + | 0.988251i | \(0.548842\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 142583. | − | 246962.i | 0.384019 | − | 0.665140i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −522875. | − | 273952.i | −1.36744 | − | 0.716448i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −323128. | + | 559674.i | −0.820842 | + | 1.42174i | 0.0842143 | + | 0.996448i | \(0.473162\pi\) |
−0.905056 | + | 0.425292i | \(0.860171\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −189573. | − | 328350.i | −0.467930 | − | 0.810479i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −347303. | − | 601546.i | −0.833249 | − | 1.44323i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 391686. | 0.913704 | 0.456852 | − | 0.889543i | \(-0.348977\pi\) | ||||
0.456852 | + | 0.889543i | \(0.348977\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −356595. | − | 617641.i | −0.809057 | − | 1.40133i | −0.913518 | − | 0.406798i | \(-0.866645\pi\) |
0.104461 | − | 0.994529i | \(-0.466688\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −764076. | −1.68659 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 98223.6 | − | 170128.i | 0.211002 | − | 0.365466i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 173800. | − | 301030.i | 0.363451 | − | 0.629515i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 686214. | 1.39735 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 73696.8 | 0.146172 | 0.0730862 | − | 0.997326i | \(-0.476715\pi\) | ||||
0.0730862 | + | 0.997326i | \(0.476715\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −281706. | + | 487929.i | −0.544381 | + | 0.942896i | 0.454264 | + | 0.890867i | \(0.349902\pi\) |
−0.998646 | + | 0.0520289i | \(0.983431\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 132038. | − | 228696.i | 0.248664 | − | 0.430698i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 227957. | 0.418491 | 0.209246 | − | 0.977863i | \(-0.432899\pi\) | ||||
0.209246 | + | 0.977863i | \(0.432899\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −305231. | − | 528676.i | −0.546382 | − | 0.946361i | −0.998519 | − | 0.0544126i | \(-0.982671\pi\) |
0.452137 | − | 0.891949i | \(-0.350662\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.19970e6 | −2.09451 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 669468. | + | 1.15955e6i | 1.14022 | + | 1.97492i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −133650. | − | 231489.i | −0.222119 | − | 0.384721i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −663319. | + | 1.14890e6i | −1.07596 | + | 1.86362i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −271780. | + | 172134.i | −0.430380 | + | 0.272584i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −340640. | + | 590006.i | −0.526732 | + | 0.912327i | 0.472782 | + | 0.881179i | \(0.343250\pi\) |
−0.999515 | + | 0.0311480i | \(0.990084\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 85300.5 | + | 147745.i | 0.128826 | + | 0.223133i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 284841. | + | 493359.i | 0.420248 | + | 0.727891i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 570515. | 0.822466 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −479853. | − | 831129.i | −0.676079 | − | 1.17100i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 498968. | 0.687214 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −464769. | + | 805003.i | −0.625856 | + | 1.08402i | 0.362518 | + | 0.931977i | \(0.381917\pi\) |
−0.988375 | + | 0.152038i | \(0.951416\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 340451. | − | 589678.i | 0.448330 | − | 0.776530i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −836852. | −1.07791 | −0.538957 | − | 0.842333i | \(-0.681181\pi\) | ||||
−0.538957 | + | 0.842333i | \(0.681181\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −43953.2 | −0.0553862 | −0.0276931 | − | 0.999616i | \(-0.508816\pi\) | ||||
−0.0276931 | + | 0.999616i | \(0.508816\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 530876. | − | 919505.i | 0.654581 | − | 1.13377i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19649.6 | − | 34034.0i | 0.0237117 | − | 0.0410699i | −0.853926 | − | 0.520394i | \(-0.825785\pi\) |
0.877638 | + | 0.479324i | \(0.159118\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −703872. | −0.831427 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 799466. | + | 1.38472e6i | 0.924548 | + | 1.60136i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.14239e6 | 1.29365 | 0.646827 | − | 0.762637i | \(-0.276096\pi\) | ||||
0.646827 | + | 0.762637i | \(0.276096\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −142528. | − | 246866.i | −0.158073 | − | 0.273790i | 0.776101 | − | 0.630609i | \(-0.217195\pi\) |
−0.934174 | + | 0.356819i | \(0.883861\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −517010. | − | 895487.i | −0.561672 | − | 0.972845i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −485452. | + | 840827.i | −0.516691 | + | 0.894935i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −409054. | − | 214317.i | −0.426617 | − | 0.223519i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 889139. | − | 1.54003e6i | 0.908806 | − | 1.57410i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −787154. | − | 1.36339e6i | −0.788634 | − | 1.36595i | −0.926804 | − | 0.375546i | \(-0.877455\pi\) |
0.138169 | − | 0.990409i | \(-0.455878\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 361503. | + | 626141.i | 0.355067 | + | 0.614994i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.52991e6 | −1.47338 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 172908. | + | 299486.i | 0.163299 | + | 0.282842i | 0.936050 | − | 0.351867i | \(-0.114453\pi\) |
−0.772751 | + | 0.634709i | \(0.781120\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.13379e6 | 1.05023 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.20228e6 | + | 2.08242e6i | −1.09246 | + | 1.89220i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 494023. | − | 855673.i | 0.440411 | − | 0.762814i | −0.557309 | − | 0.830305i | \(-0.688166\pi\) |
0.997720 | + | 0.0674913i | \(0.0214995\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 310570. | 0.271672 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.15643e6 | −0.992750 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 418483. | − | 724833.i | 0.352612 | − | 0.610741i | −0.634094 | − | 0.773256i | \(-0.718627\pi\) |
0.986706 | + | 0.162514i | \(0.0519603\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.04254e6 | − | 1.80574e6i | 0.862325 | − | 1.49359i | −0.00735345 | − | 0.999973i | \(-0.502341\pi\) |
0.869679 | − | 0.493618i | \(-0.164326\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.52411e6 | 1.23768 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −185543. | − | 321369.i | −0.147949 | − | 0.256255i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −654742. | −0.512709 | −0.256355 | − | 0.966583i | \(-0.582521\pi\) | ||||
−0.256355 | + | 0.966583i | \(0.582521\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 512289. | + | 887310.i | 0.394007 | + | 0.682441i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 432664. | + | 749397.i | 0.326878 | + | 0.566169i | 0.981891 | − | 0.189449i | \(-0.0606702\pi\) |
−0.655013 | + | 0.755618i | \(0.727337\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 840551. | − | 1.45588e6i | 0.623876 | − | 1.08058i | −0.364882 | − | 0.931054i | \(-0.618891\pi\) |
0.988757 | − | 0.149530i | \(-0.0477761\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.25422e6 | + | 657129.i | 0.914665 | + | 0.479224i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 771360. | − | 1.33604e6i | 0.552780 | − | 0.957444i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −735443. | − | 1.27382e6i | −0.517970 | − | 0.897150i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.12393e6 | + | 1.94671e6i | 0.778050 | + | 1.34762i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 495850. | 0.337428 | 0.168714 | − | 0.985665i | \(-0.446039\pi\) | ||||
0.168714 | + | 0.985665i | \(0.446039\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 505577. | + | 875685.i | 0.338246 | + | 0.585859i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 671625. | 0.441810 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −518925. | + | 898805.i | −0.335681 | + | 0.581416i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.64395e6 | + | 2.84741e6i | −1.04586 | + | 1.81148i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.63170e6 | 2.27250 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.11228e6 | 0.684647 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.22956e6 | − | 2.12967e6i | 0.744569 | − | 1.28963i | −0.205826 | − | 0.978589i | \(-0.565988\pi\) |
0.950396 | − | 0.311043i | \(-0.100678\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.05974e6 | + | 1.83552e6i | −0.631396 | + | 1.09361i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.82000e6 | 1.06702 | 0.533508 | − | 0.845795i | \(-0.320873\pi\) | ||||
0.533508 | + | 0.845795i | \(0.320873\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −847350. | − | 1.46765e6i | −0.488880 | − | 0.846765i | 0.511038 | − | 0.859558i | \(-0.329261\pi\) |
−0.999918 | + | 0.0127931i | \(0.995928\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.83604e6 | −1.61041 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −785090. | − | 1.35982e6i | −0.438805 | − | 0.760033i | 0.558793 | − | 0.829307i | \(-0.311265\pi\) |
−0.997598 | + | 0.0692749i | \(0.977931\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 655235. | + | 1.13490e6i | 0.360512 | + | 0.624426i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −350886. | + | 607753.i | −0.190066 | + | 0.329203i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 109627. | + | 2.67315e6i | 0.0584671 | + | 1.42567i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 266340. | − | 461315.i | 0.139871 | − | 0.242264i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.71045e6 | − | 4.69463e6i | −1.40175 | − | 2.42791i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.03119e6 | − | 3.51813e6i | −1.03457 | − | 1.79193i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.47267e6 | −0.738816 | −0.369408 | − | 0.929267i | \(-0.620440\pi\) | ||||
−0.369408 | + | 0.929267i | \(0.620440\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.01808e6 | + | 1.76336e6i | 0.503119 | + | 0.871427i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.74643e6 | 0.850235 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.04852e6 | + | 1.81609e6i | −0.502922 | + | 0.871087i | 0.497072 | + | 0.867709i | \(0.334409\pi\) |
−0.999994 | + | 0.00337788i | \(0.998925\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.16980e6 | + | 3.75820e6i | −1.02546 | + | 1.77616i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 558386. | 0.260045 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.09282e6 | −0.960498 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.59110e6 | − | 2.75587e6i | 0.719698 | − | 1.24655i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.08983e6 | + | 1.88764e6i | −0.485887 | + | 0.841582i | −0.999868 | − | 0.0162199i | \(-0.994837\pi\) |
0.513981 | + | 0.857802i | \(0.328170\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.80723e6 | 0.794238 | 0.397119 | − | 0.917767i | \(-0.370010\pi\) | ||||
0.397119 | + | 0.917767i | \(0.370010\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 482047. | + | 834931.i | 0.208844 | + | 0.361728i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.11807e6 | −0.904696 | −0.452348 | − | 0.891842i | \(-0.649414\pi\) | ||||
−0.452348 | + | 0.891842i | \(0.649414\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −124174. | − | 215076.i | −0.0522950 | − | 0.0905775i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4.41492e6 | − | 7.64687e6i | −1.83338 | − | 3.17551i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.04610e6 | + | 1.81190e6i | −0.428388 | + | 0.741990i | −0.996730 | − | 0.0808022i | \(-0.974252\pi\) |
0.568342 | + | 0.822793i | \(0.307585\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.05830e6 | − | 2.23854e6i | 0.427408 | − | 0.904059i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.48246e6 | + | 2.56769e6i | −0.590494 | + | 1.02277i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 698534. | + | 1.20990e6i | 0.274445 | + | 0.475352i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.45084e6 | − | 2.51293e6i | −0.562282 | − | 0.973901i | −0.997297 | − | 0.0734776i | \(-0.976590\pi\) |
0.435015 | − | 0.900423i | \(-0.356743\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.77054e6 | 1.05925 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 896224. | + | 1.55231e6i | 0.338051 | + | 0.585521i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.15657e6 | −1.17474 | −0.587372 | − | 0.809317i | \(-0.699837\pi\) | ||||
−0.587372 | + | 0.809317i | \(0.699837\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.22263e6 | + | 3.84970e6i | −0.816184 | + | 1.41367i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −940567. | + | 1.62911e6i | −0.340829 | + | 0.590333i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.95334e6 | 1.41373 | 0.706864 | − | 0.707350i | \(-0.250109\pi\) | ||||
0.706864 | + | 0.707350i | \(0.250109\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.57255e6 | −1.26086 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.93528e6 | − | 3.35201e6i | 0.674136 | − | 1.16764i | −0.302584 | − | 0.953123i | \(-0.597849\pi\) |
0.976720 | − | 0.214516i | \(-0.0688174\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −772810. | + | 1.33855e6i | −0.265718 | + | 0.460237i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.90469e6 | −2.00410 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.11143e6 | + | 1.92505e6i | 0.372399 | + | 0.645013i | 0.989934 | − | 0.141530i | \(-0.0452021\pi\) |
−0.617535 | + | 0.786543i | \(0.711869\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.01273e6 | 1.98898 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −71283.3 | − | 123466.i | −0.0232813 | − | 0.0403243i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.16380e6 | − | 2.01577e6i | −0.375307 | − | 0.650051i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −207721. | + | 359784.i | −0.0661462 | + | 0.114569i | −0.897202 | − | 0.441621i | \(-0.854404\pi\) |
0.831056 | + | 0.556189i | \(0.187737\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 334859. | + | 8.16521e6i | 0.105300 | + | 2.56765i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.50770e6 | − | 2.61141e6i | 0.468224 | − | 0.810988i | −0.531116 | − | 0.847299i | \(-0.678227\pi\) |
0.999341 | + | 0.0363107i | \(0.0115606\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 400772. | + | 694157.i | 0.122923 | + | 0.212910i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 171581. | + | 297188.i | 0.0519796 | + | 0.0900313i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.10969e6 | 0.332058 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.89456e6 | − | 3.28148e6i | −0.560016 | − | 0.969976i | −0.997494 | − | 0.0707474i | \(-0.977462\pi\) |
0.437478 | − | 0.899229i | \(-0.355872\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.46797e6 | 2.18071 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.91793e6 | + | 5.05400e6i | −0.841782 | + | 1.45801i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.29434e6 | + | 2.24187e6i | −0.368917 | + | 0.638983i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.08710e7 | 3.06146 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 359202. | 0.0999549 | 0.0499774 | − | 0.998750i | \(-0.484085\pi\) | ||||
0.0499774 | + | 0.998750i | \(0.484085\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −272896. | + | 472669.i | −0.0750398 | + | 0.129973i | −0.901104 | − | 0.433604i | \(-0.857242\pi\) |
0.826064 | + | 0.563577i | \(0.190575\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.64778e6 | − | 6.31814e6i | 0.991238 | − | 1.71687i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.08606e6 | −0.828765 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.20977e6 | + | 5.55948e6i | 0.851930 | + | 1.47559i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.49171e6 | 0.391327 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.14797e6 | − | 1.98834e6i | −0.297671 | − | 0.515581i | 0.677932 | − | 0.735125i | \(-0.262876\pi\) |
−0.975603 | + | 0.219544i | \(0.929543\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.52128e6 | − | 4.36698e6i | −0.646251 | − | 1.11934i | −0.984011 | − | 0.178107i | \(-0.943003\pi\) |
0.337760 | − | 0.941232i | \(-0.390331\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.88392e6 | − | 4.99510e6i | 0.730735 | − | 1.26567i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −4.92924e6 | − | 2.58260e6i | −1.23474 | − | 0.646924i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.91644e6 | + | 6.78347e6i | −0.969907 | + | 1.67993i | −0.274097 | + | 0.961702i | \(0.588379\pi\) |
−0.695810 | + | 0.718226i | \(0.744955\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.03166e6 | − | 8.71509e6i | −1.23201 | − | 2.13391i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.75654e6 | − | 4.77446e6i | −0.667351 | − | 1.15589i | −0.978642 | − | 0.205571i | \(-0.934095\pi\) |
0.311291 | − | 0.950315i | \(-0.399239\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.68344e6 | 0.402993 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −112886. | − | 195525.i | −0.0267222 | − | 0.0462842i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.99055e6 | 1.40233 | 0.701166 | − | 0.712998i | \(-0.252663\pi\) | ||||
0.701166 | + | 0.712998i | \(0.252663\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 754961. | − | 1.30763e6i | 0.174777 | − | 0.302722i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 538617. | − | 932913.i | 0.123320 | − | 0.213597i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −2.21868e6 | −0.502420 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 289587. | 0.0648617 | 0.0324308 | − | 0.999474i | \(-0.489675\pi\) | ||||
0.0324308 | + | 0.999474i | \(0.489675\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.79272e6 | − | 4.83713e6i | 0.618721 | − | 1.07166i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.79574e6 | + | 3.11031e6i | −0.393542 | + | 0.681635i | −0.992914 | − | 0.118836i | \(-0.962084\pi\) |
0.599372 | + | 0.800471i | \(0.295417\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 108518. | 0.0235260 | 0.0117630 | − | 0.999931i | \(-0.496256\pi\) | ||||
0.0117630 | + | 0.999931i | \(0.496256\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.22883e6 | − | 2.12839e6i | −0.263547 | − | 0.456477i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.47855e6 | −0.950267 | −0.475133 | − | 0.879914i | \(-0.657600\pi\) | ||||
−0.475133 | + | 0.879914i | \(0.657600\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.03974e6 | + | 8.72909e6i | 1.05798 | + | 1.83247i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.25311e6 | + | 2.17045e6i | 0.260278 | + | 0.450815i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.60900e6 | + | 2.78687e6i | −0.330677 | + | 0.572749i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.52995e6 | + | 1.32553e6i | 0.514491 | + | 0.269560i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.60951e6 | + | 2.78776e6i | −0.323891 | + | 0.560995i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.21830e6 | − | 5.57425e6i | −0.640896 | − | 1.11006i | −0.985233 | − | 0.171218i | \(-0.945230\pi\) |
0.344337 | − | 0.938846i | \(-0.388104\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 796459. | + | 1.37951e6i | 0.156964 | + | 0.271870i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.83660e7 | 3.58218 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.63614e6 | − | 2.83387e6i | −0.315838 | − | 0.547048i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −983792. | −0.187967 | −0.0939833 | − | 0.995574i | \(-0.529960\pi\) | ||||
−0.0939833 | + | 0.995574i | \(0.529960\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −3.92460e6 | + | 6.79761e6i | −0.742204 | + | 1.28553i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.28089e6 | − | 5.68267e6i | 0.614170 | − | 1.06377i | −0.376360 | − | 0.926474i | \(-0.622824\pi\) |
0.990530 | − | 0.137300i | \(-0.0438423\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.08983e7 | 2.01948 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.77575e6 | −0.509175 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 716668. | − | 1.24131e6i | 0.130145 | − | 0.225418i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.23268e6 | + | 3.86711e6i | −0.401398 | + | 0.695241i | −0.993895 | − | 0.110331i | \(-0.964809\pi\) |
0.592497 | + | 0.805572i | \(0.298142\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.39682e7 | 2.48625 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.44875e6 | − | 2.50931e6i | −0.255313 | − | 0.442215i | 0.709667 | − | 0.704537i | \(-0.248845\pi\) |
−0.964981 | + | 0.262322i | \(0.915512\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.28676e6 | −0.922489 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3.54495e6 | − | 6.14003e6i | −0.612477 | − | 1.06084i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.19919e6 | + | 5.54116e6i | 0.547325 | + | 0.947995i | 0.998457 | + | 0.0555374i | \(0.0176872\pi\) |
−0.451131 | + | 0.892458i | \(0.648979\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.03157e6 | + | 6.98289e6i | −0.683003 | + | 1.18300i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.36712e6 | + | 2.76595e6i | −0.732659 | + | 0.464035i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.54269e6 | − | 2.67201e6i | 0.256306 | − | 0.443936i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.98801e6 | − | 3.44333e6i | −0.327109 | − | 0.566569i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 8.03370e6 | + | 1.39148e7i | 1.30917 | + | 2.26756i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.13178e7 | −1.82671 | −0.913353 | − | 0.407168i | \(-0.866516\pi\) | ||||
−0.913353 | + | 0.407168i | \(0.866516\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −214962. | − | 372326.i | −0.0343643 | − | 0.0595208i | 0.848332 | − | 0.529465i | \(-0.177607\pi\) |
−0.882696 | + | 0.469944i | \(0.844274\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −9.42643e6 | −1.49262 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.32185e6 | − | 4.02156e6i | 0.364173 | − | 0.630766i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.03505e6 | + | 5.25687e6i | −0.471549 | + | 0.816747i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.04805e7 | −1.61304 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.16744e6 | 0.330468 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 510794. | − | 884721.i | 0.0771545 | − | 0.133635i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.86910e6 | − | 8.43354e6i | 0.728641 | − | 1.26204i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.48442e6 | −0.813128 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.05574e6 | + | 7.02475e6i | 0.595768 | + | 1.03190i | 0.993438 | + | 0.114372i | \(0.0364855\pi\) |
−0.397670 | + | 0.917529i | \(0.630181\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.77315e7 | −2.58075 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.94566e6 | + | 6.83409e6i | 0.569021 | + | 0.985574i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.15311e6 | − | 7.19340e6i | −0.593479 | − | 1.02794i | −0.993760 | − | 0.111543i | \(-0.964421\pi\) |
0.400281 | − | 0.916393i | \(-0.368913\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.76436e6 | + | 9.98416e6i | −0.816244 | + | 1.41378i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.93439e6 | − | 4.68103e6i | −1.25368 | − | 0.656845i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.71687e6 | − | 1.16340e7i | 0.934015 | − | 1.61776i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −2.44206e6 | − | 4.22978e6i | −0.336531 | − | 0.582888i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.99228e6 | − | 3.45072e6i | −0.272089 | − | 0.471272i | 0.697307 | − | 0.716772i | \(-0.254381\pi\) |
−0.969397 | + | 0.245500i | \(0.921048\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.61934e6 | −0.625245 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.32106e6 | − | 7.48430e6i | −0.579673 | − | 1.00402i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 6.11824e6 | 0.813496 | 0.406748 | − | 0.913540i | \(-0.366663\pi\) | ||||
0.406748 | + | 0.913540i | \(0.366663\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.15863e6 | − | 5.47091e6i | 0.416273 | − | 0.721005i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −990279. | + | 1.71521e6i | −0.129360 | + | 0.224058i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 908888. | 0.117687 | 0.0588436 | − | 0.998267i | \(-0.481259\pi\) | ||||
0.0588436 | + | 0.998267i | \(0.481259\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.83881e6 | 0.236019 | 0.118010 | − | 0.993012i | \(-0.462349\pi\) | ||||
0.118010 | + | 0.993012i | \(0.462349\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 916135. | − | 1.58679e6i | 0.116566 | − | 0.201899i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.20949e6 | − | 5.55900e6i | 0.404824 | − | 0.701176i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.44901e6 | 0.681362 | 0.340681 | − | 0.940179i | \(-0.389342\pi\) | ||||
0.340681 | + | 0.940179i | \(0.389342\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.00386e6 | + | 1.21310e7i | 0.868242 | + | 1.50384i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.49405e7 | −1.83623 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 877170. | + | 1.51930e6i | 0.106884 | + | 0.185128i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.99225e6 | − | 3.45067e6i | −0.240687 | − | 0.416883i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.89239e6 | + | 3.27772e6i | −0.226681 | + | 0.392623i | −0.956823 | − | 0.290673i | \(-0.906121\pi\) |
0.730141 | + | 0.683296i | \(0.239454\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.63080e6 | + | 2.29959e6i | −0.431235 | + | 0.273126i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.83376e6 | − | 4.90822e6i | 0.333729 | − | 0.578036i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 5.72339e6 | + | 9.91320e6i | 0.668369 | + | 1.15765i | 0.978360 | + | 0.206910i | \(0.0663408\pi\) |
−0.309990 | + | 0.950740i | \(0.600326\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.42691e6 | + | 1.11317e7i | 0.744235 | + | 1.28905i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.51775e7 | −1.74287 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.14807e6 | − | 5.45262e6i | −0.358491 | − | 0.620924i | 0.629218 | − | 0.777229i | \(-0.283375\pi\) |
−0.987709 | + | 0.156305i | \(0.950042\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.03647e6 | −0.342913 | −0.171456 | − | 0.985192i | \(-0.554847\pi\) | ||||
−0.171456 | + | 0.985192i | \(0.554847\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −9.05078e6 | + | 1.56764e7i | −1.01366 | + | 1.75571i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.15805e6 | − | 3.73785e6i | 0.239703 | − | 0.415177i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.08106e7 | −1.19091 | −0.595454 | − | 0.803389i | \(-0.703028\pi\) | ||||
−0.595454 | + | 0.803389i | \(0.703028\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.32890e7 | 3.63712 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.85372e6 | − | 4.94279e6i | 0.309249 | − | 0.535635i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.94957e6 | − | 8.57291e6i | 0.532006 | − | 0.921461i | −0.467296 | − | 0.884101i | \(-0.654772\pi\) |
0.999302 | − | 0.0373600i | \(-0.0118948\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.64570e6 | −0.708522 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 973579. | + | 1.68629e6i | 0.102958 | + | 0.178328i | 0.912902 | − | 0.408179i | \(-0.133836\pi\) |
−0.809944 | + | 0.586507i | \(0.800503\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.48976e6 | 0.366074 | 0.183037 | − | 0.983106i | \(-0.441407\pi\) | ||||
0.183037 | + | 0.983106i | \(0.441407\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 5.80884e6 | + | 1.00612e7i | 0.604450 | + | 1.04694i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.85797e6 | + | 8.41424e6i | 0.501458 | + | 0.868550i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 399448. | − | 691864.i | 0.0409034 | − | 0.0708468i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 327740. | + | 7.99162e6i | 0.0332936 | + | 0.811832i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.61424e6 | − | 7.99210e6i | 0.465022 | − | 0.805442i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.65587e6 | − | 8.06421e6i | −0.465509 | − | 0.806285i | 0.533716 | − | 0.845664i | \(-0.320795\pi\) |
−0.999224 | + | 0.0393793i | \(0.987462\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.46910e6 | + | 1.46689e7i | 0.840094 | + | 1.45509i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5.20065e6 | 0.511827 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.93635e6 | − | 6.81796e6i | −0.384366 | − | 0.665741i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.57410e6 | 0.249387 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.98479e6 | − | 5.16981e6i | 0.286925 | − | 0.496969i | −0.686149 | − | 0.727461i | \(-0.740700\pi\) |
0.973074 | + | 0.230492i | \(0.0740336\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.07253e6 | − | 1.57141e7i | 0.865368 | − | 1.49886i | −0.00131239 | − | 0.999999i | \(-0.500418\pi\) |
0.866681 | − | 0.498863i | \(-0.166249\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.41636e7 | 1.34052 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.03554e7 | 0.972537 | 0.486269 | − | 0.873809i | \(-0.338358\pi\) | ||||
0.486269 | + | 0.873809i | \(0.338358\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.85589e6 | + | 4.94655e6i | −0.266152 | + | 0.460989i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.09215e6 | − | 1.22840e7i | 0.655882 | − | 1.13602i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.38119e6 | 0.402077 | 0.201038 | − | 0.979583i | \(-0.435568\pi\) | ||||
0.201038 | + | 0.979583i | \(0.435568\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 103769. | + | 179733.i | 0.00945069 | + | 0.0163691i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.44805e7 | −1.30879 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.34358e6 | − | 1.27195e7i | −0.658710 | − | 1.14092i | −0.980950 | − | 0.194262i | \(-0.937769\pi\) |
0.322239 | − | 0.946658i | \(-0.395564\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.90277e6 | − | 3.29569e6i | −0.169388 | − | 0.293388i | 0.768817 | − | 0.639469i | \(-0.220846\pi\) |
−0.938205 | + | 0.346081i | \(0.887512\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 6.20274e6 | − | 1.07435e7i | 0.548024 | − | 0.949205i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −487462. | − | 1.18863e7i | −0.0427452 | − | 1.04230i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.13342e7 | + | 1.96313e7i | −0.986449 | + | 1.70858i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.15552e7 | + | 2.00142e7i | 0.998188 | + | 1.72891i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.14153e6 | + | 5.44128e6i | 0.269361 | + | 0.466547i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.15454e7 | 1.83365 | 0.916824 | − | 0.399291i | \(-0.130744\pi\) | ||||
0.916824 | + | 0.399291i | \(0.130744\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.98141e6 | − | 5.16395e6i | −0.251861 | − | 0.436237i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −182950. | −0.0153412 | −0.00767061 | − | 0.999971i | \(-0.502442\pi\) | ||||
−0.00767061 | + | 0.999971i | \(0.502442\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.44293e6 | − | 1.63556e7i | 0.786017 | − | 1.36142i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.04030e7 | + | 1.80186e7i | −0.859591 | + | 1.48885i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.90678e7 | −1.56404 | −0.782021 | − | 0.623252i | \(-0.785811\pi\) | ||||
−0.782021 | + | 0.623252i | \(0.785811\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.08713e7 | −0.885229 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −546388. | + | 946372.i | −0.0441682 | + | 0.0765015i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.25915e6 | + | 2.18091e6i | −0.101048 | + | 0.175021i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.57718e7 | 1.25657 | 0.628285 | − | 0.777983i | \(-0.283757\pi\) | ||||
0.628285 | + | 0.777983i | \(0.283757\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.01009e6 | − | 1.38739e7i | −0.633584 | − | 1.09740i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.58252e7 | −1.24276 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.27848e6 | − | 1.08746e7i | −0.489522 | − | 0.847878i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −488533. | − | 846164.i | −0.0378182 | − | 0.0655030i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.89878e6 | + | 1.54131e7i | −0.683967 | + | 1.18467i | 0.289793 | + | 0.957089i | \(0.406414\pi\) |
−0.973760 | + | 0.227577i | \(0.926920\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.21554e6 | + | 4.57001e6i | −0.550656 | + | 0.348762i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.74993e6 | + | 1.51553e7i | −0.663028 | + | 1.14840i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.52562e7 | − | 2.64245e7i | −1.14788 | − | 1.98819i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.02786e6 | − | 1.78031e6i | −0.0767924 | − | 0.133008i | 0.825072 | − | 0.565028i | \(-0.191135\pi\) |
−0.901864 | + | 0.432019i | \(0.857801\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.41254e7 | 1.78978 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.82944e6 | + | 8.36483e6i | 0.355773 | + | 0.616217i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.17151e6 | −0.158854 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.42012e7 | − | 2.45971e7i | 1.03163 | − | 1.78684i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.09362e7 | − | 1.89420e7i | 0.788940 | − | 1.36648i | −0.137676 | − | 0.990477i | \(-0.543963\pi\) |
0.926617 | − | 0.376007i | \(-0.122703\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.78072e7 | 1.27572 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −7.08714e6 | −0.504226 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.81729e6 | − | 1.00758e7i | 0.411032 | − | 0.711929i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.17837e6 | − | 2.04099e6i | 0.0826884 | − | 0.143221i | −0.821715 | − | 0.569898i | \(-0.806983\pi\) |
0.904404 | + | 0.426677i | \(0.140316\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −2.34041e7 | −1.63107 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.33809e7 | + | 2.31765e7i | 0.926175 | + | 1.60418i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.16077e7 | 1.48541 | 0.742707 | − | 0.669616i | \(-0.233541\pi\) | ||||
0.742707 | + | 0.669616i | \(0.233541\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.20694e7 | + | 2.09049e7i | 0.824079 | + | 1.42735i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 4.93260e6 | + | 8.54351e6i | 0.334508 | + | 0.579385i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.23082e6 | + | 3.86389e6i | −0.150263 | + | 0.260264i | −0.931324 | − | 0.364191i | \(-0.881345\pi\) |
0.781061 | + | 0.624455i | \(0.214679\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.69955e6 | + | 6.14328e6i | −0.648942 | + | 0.411012i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.70913e6 | + | 1.33526e7i | −0.512311 | + | 0.887348i | 0.487587 | + | 0.873074i | \(0.337877\pi\) |
−0.999898 | + | 0.0142742i | \(0.995456\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 164331. | + | 284630.i | 0.0108475 | + | 0.0187884i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.34157e7 | − | 2.32367e7i | −0.879655 | − | 1.52361i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.89607e6 | 0.384024 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.64269e6 | − | 2.84522e6i | −0.106281 | − | 0.184084i | 0.807980 | − | 0.589210i | \(-0.200561\pi\) |
−0.914261 | + | 0.405126i | \(0.867228\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.91409e7 | −2.51561 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −784079. | + | 1.35806e6i | −0.0500602 | + | 0.0867068i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.40092e6 | + | 9.35466e6i | −0.342553 | + | 0.593319i | −0.984906 | − | 0.173090i | \(-0.944625\pi\) |
0.642353 | + | 0.766409i | \(0.277958\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.79756e7 | 1.13260 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −9.38280e6 | −0.587315 | −0.293657 | − | 0.955911i | \(-0.594872\pi\) | ||||
−0.293657 | + | 0.955911i | \(0.594872\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.27723e7 | + | 3.94428e7i | −1.41611 | + | 2.45277i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.15420e7 | + | 1.99913e7i | −0.713061 | + | 1.23506i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −8.19907e6 | −0.503241 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.58311e6 | + | 4.47407e6i | 0.157517 | + | 0.272827i | 0.933973 | − | 0.357345i | \(-0.116318\pi\) |
−0.776456 | + | 0.630172i | \(0.782985\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.59780e6 | 0.520896 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.46904e6 | + | 4.27650e6i | 0.148621 | + | 0.257419i | 0.930718 | − | 0.365738i | \(-0.119183\pi\) |
−0.782097 | + | 0.623156i | \(0.785850\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.47873e6 | − | 4.29328e6i | −0.148243 | − | 0.256764i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.40943e7 | − | 2.44121e7i | 0.837513 | − | 1.45062i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 476204. | + | 1.16118e7i | 0.0281157 | + | 0.685575i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 701432. | − | 1.21492e6i | 0.0411489 | − | 0.0712719i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.05287e7 | + | 1.82362e7i | 0.613719 | + | 1.06299i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.82419e6 | − | 3.15958e6i | −0.105656 | − | 0.183002i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.65272e6 | −0.440432 | −0.220216 | − | 0.975451i | \(-0.570676\pi\) | ||||
−0.220216 | + | 0.975451i | \(0.570676\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.22825e7 | − | 2.12740e7i | −0.702418 | − | 1.21662i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.64600e7 | 2.07193 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.50955e6 | + | 7.81077e6i | −0.254654 | + | 0.441074i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.86074e6 | − | 6.68699e6i | 0.216647 | − | 0.375243i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −1.09086e7 | −0.608306 | −0.304153 | − | 0.952623i | \(-0.598373\pi\) | ||||
−0.304153 | + | 0.952623i | \(0.598373\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.30657e7 | −1.83236 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.72433e6 | + | 1.51110e7i | −0.480453 | + | 0.832169i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.94586e6 | + | 6.83443e6i | −0.215950 | + | 0.374036i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.67359e7 | −1.45414 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −1.04044e7 | − | 1.80210e7i | −0.562386 | − | 0.974081i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 2.87426e7 | 1.54403 | 0.772013 | − | 0.635606i | \(-0.219250\pi\) | ||||
0.772013 | + | 0.635606i | \(0.219250\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.14408e6 | − | 1.58380e7i | −0.488189 | − | 0.845568i | 0.511719 | − | 0.859153i | \(-0.329009\pi\) |
−0.999908 | + | 0.0135852i | \(0.995676\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.59200e7 | − | 4.48948e7i | −1.37534 | − | 2.38215i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.71314e6 | − | 9.89544e6i | 0.301287 | − | 0.521845i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.01490e6 | − | 2.47475e7i | −0.0531949 | − | 1.29711i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.14982e7 | − | 1.99155e7i | 0.598991 | − | 1.03748i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 7.63449e6 | + | 1.32233e7i | 0.395296 | + | 0.684672i | 0.993139 | − | 0.116941i | \(-0.0373088\pi\) |
−0.597843 | + | 0.801613i | \(0.703975\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.66967e6 | + | 6.35605e6i | 0.188854 | + | 0.327105i | 0.944869 | − | 0.327450i | \(-0.106189\pi\) |
−0.756014 | + | 0.654555i | \(0.772856\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −9.22603e6 | −0.471932 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 9.35237e6 | + | 1.61988e7i | 0.475508 | + | 0.823605i | 0.999606 | − | 0.0280533i | \(-0.00893082\pi\) |
−0.524098 | + | 0.851658i | \(0.675597\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.92855e7 | 0.974641 | 0.487320 | − | 0.873223i | \(-0.337974\pi\) | ||||
0.487320 | + | 0.873223i | \(0.337974\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −8.13919e6 | + | 1.40975e7i | −0.408864 | + | 0.708173i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.28050e7 | + | 3.94995e7i | −1.13872 | + | 1.97233i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.03338e7 | −1.00926 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.97246e6 | 0.442688 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.24428e6 | − | 1.08154e7i | 0.306251 | − | 0.530442i | −0.671288 | − | 0.741196i | \(-0.734259\pi\) |
0.977539 | + | 0.210754i | \(0.0675920\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.02879e7 | + | 1.78192e7i | −0.501576 | + | 0.868756i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.15140e7 | 1.04268 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.16047e6 | + | 8.93819e6i | 0.248626 | + | 0.430634i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.49103e7 | 1.19308 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −2.08980e7 | − | 3.61964e7i | −0.995029 | − | 1.72344i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 9.59760e6 | + | 1.66235e7i | 0.454296 | + | 0.786864i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.42614e6 | − | 5.93425e6i | 0.161225 | − | 0.279250i | −0.774083 | − | 0.633084i | \(-0.781789\pi\) |
0.935308 | + | 0.353834i | \(0.115122\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.80488e7 | − | 1.14313e7i | 0.844371 | − | 0.534788i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −5.61768e6 | + | 9.73011e6i | −0.261279 | + | 0.452549i | −0.966582 | − | 0.256357i | \(-0.917478\pi\) |
0.705303 | + | 0.708906i | \(0.250811\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.89450e6 | + | 3.28138e6i | 0.0876017 | + | 0.151731i | 0.906497 | − | 0.422212i | \(-0.138746\pi\) |
−0.818895 | + | 0.573943i | \(0.805413\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.91778e7 | − | 3.32169e7i | −0.881638 | − | 1.52704i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.08965e7 | −1.41215 | −0.706077 | − | 0.708135i | \(-0.749537\pi\) | ||||
−0.706077 | + | 0.708135i | \(0.749537\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.16949e7 | − | 2.02561e7i | −0.531441 | − | 0.920482i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.65696e7 | −1.65224 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.57407e6 | − | 1.13866e7i | 0.295314 | − | 0.511500i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.08057e6 | + | 1.22639e7i | −0.316244 | + | 0.547752i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 3.39168e7 | 1.50619 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 3.73476e7 | 1.64908 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.06989e7 | − | 1.85310e7i | 0.469719 | − | 0.813577i | −0.529682 | − | 0.848197i | \(-0.677689\pi\) |
0.999401 | + | 0.0346194i | \(0.0110219\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.16398e6 | − | 1.06763e7i | 0.269085 | − | 0.466068i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.47758e6 | 0.150951 | 0.0754756 | − | 0.997148i | \(-0.475952\pi\) | ||||
0.0754756 | + | 0.997148i | \(0.475952\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.52985e6 | − | 1.30421e7i | −0.325001 | − | 0.562918i | 0.656512 | − | 0.754316i | \(-0.272031\pi\) |
−0.981513 | + | 0.191398i | \(0.938698\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.51396e7 | 1.07895 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.37599e7 | + | 2.38328e7i | 0.587225 | + | 1.01710i | 0.994594 | + | 0.103840i | \(0.0331131\pi\) |
−0.407369 | + | 0.913264i | \(0.633554\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.50077e7 | + | 2.59941e7i | 0.636884 | + | 1.10312i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −969226. | + | 1.67875e6i | −0.0409007 | + | 0.0708421i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.71073e7 | + | 1.42025e7i | 1.13752 | + | 0.595984i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.08807e6 | + | 1.22769e7i | −0.295781 | + | 0.512308i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.29017e7 | + | 2.23463e7i | 0.535383 | + | 0.927310i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.75350e6 | + | 1.51615e7i | 0.361229 | + | 0.625667i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.45896e7 | 0.598731 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.08724e7 | + | 7.07931e7i | 1.66806 | + | 2.88916i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.58122e7 | 1.04762 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.31824e7 | + | 2.28326e7i | −0.532079 | + | 0.921588i | 0.467219 | + | 0.884141i | \(0.345256\pi\) |
−0.999299 | + | 0.0374469i | \(0.988077\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.73984e7 | − | 4.74553e7i | 1.09980 | − | 1.90491i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.00749e6 | −0.239827 | −0.119913 | − | 0.992784i | \(-0.538262\pi\) | ||||
−0.119913 | + | 0.992784i | \(0.538262\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.46229e7 | −0.580573 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.38270e7 | − | 2.39490e7i | 0.545977 | − | 0.945660i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −598900. | + | 1.03733e6i | −0.0235197 | + | 0.0407372i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.21396e7 | 0.474150 | 0.237075 | − | 0.971491i | \(-0.423811\pi\) | ||||
0.237075 | + | 0.971491i | \(0.423811\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.05698e7 | − | 5.29484e7i | −1.18753 | − | 2.05685i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.01376e6 | 0.0778044 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.92600e6 | − | 8.53209e6i | −0.189296 | − | 0.327869i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.59898e7 | + | 2.76951e7i | 0.611143 | + | 1.05853i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.94616e6 | + | 8.56699e6i | −0.188031 | + | 0.325679i | −0.944594 | − | 0.328242i | \(-0.893544\pi\) |
0.756563 | + | 0.653921i | \(0.226877\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.56614e7 | − | 2.25864e7i | 1.34842 | − | 0.854030i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.26247e7 | − | 3.91871e7i | 0.850901 | − | 1.47380i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.29028e6 | + | 1.08951e7i | 0.235310 | + | 0.407569i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.02564e7 | − | 1.77646e7i | −0.381632 | − | 0.661007i | 0.609663 | − | 0.792660i | \(-0.291305\pi\) |
−0.991296 | + | 0.131654i | \(0.957971\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −4.21341e7 | −1.55944 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 2.28320e7 | + | 3.95462e7i | 0.840562 | + | 1.45590i | 0.889420 | + | 0.457090i | \(0.151108\pi\) |
−0.0488582 | + | 0.998806i | \(0.515558\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.61184e7 | 0.956462 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.24179e7 | + | 2.15085e7i | −0.452346 | + | 0.783486i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −5.04770e6 | + | 8.74287e6i | −0.182902 | + | 0.316796i | −0.942868 | − | 0.333168i | \(-0.891882\pi\) |
0.759966 | + | 0.649963i | \(0.225216\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.13283e7 | −0.408319 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.90383e7 | −1.39971 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.33676e7 | + | 2.31533e7i | −0.476782 | + | 0.825811i | −0.999646 | − | 0.0266050i | \(-0.991530\pi\) |
0.522864 | + | 0.852416i | \(0.324864\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.33364e6 | + | 2.30993e6i | −0.0473184 | + | 0.0819579i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 3.25813e7 | 1.14997 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.13718e7 | − | 5.43375e7i | −1.10152 | − | 1.90789i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2.11695e7 | −0.739438 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.29433e6 | + | 9.17004e6i | 0.183969 | + | 0.318644i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.01957e7 | − | 1.76594e7i | −0.352451 | − | 0.610462i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.40549e6 | − | 7.63054e6i | 0.151505 | − | 0.262415i | −0.780276 | − | 0.625436i | \(-0.784921\pi\) |
0.931781 | + | 0.363021i | \(0.118255\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.89194e7 | + | 3.08699e7i | 2.01581 | + | 1.05615i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.90262e7 | − | 3.29543e7i | 0.647594 | − | 1.12167i | −0.336102 | − | 0.941826i | \(-0.609109\pi\) |
0.983696 | − | 0.179840i | \(-0.0575581\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.56673e7 | − | 7.90981e7i | −1.54641 | − | 2.67845i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.62182e6 | − | 1.14693e7i | −0.223083 | − | 0.386391i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.16722e7 | −1.39672 | −0.698361 | − | 0.715746i | \(-0.746087\pi\) | ||||
−0.698361 | + | 0.715746i | \(0.746087\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.75469e6 | + | 8.23536e6i | 0.158550 | + | 0.274616i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.17928e7 | −2.71358 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.16371e7 | − | 3.74766e7i | 0.714194 | − | 1.23702i | −0.249076 | − | 0.968484i | \(-0.580127\pi\) |
0.963270 | − | 0.268536i | \(-0.0865397\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.12517e6 | + | 7.14501e6i | −0.135473 | + | 0.234646i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.01000e8 | −3.30012 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −5.56646e7 | −1.80962 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.59147e7 | − | 2.75651e7i | 0.514772 | − | 0.891611i | −0.485081 | − | 0.874469i | \(-0.661210\pi\) |
0.999853 | − | 0.0171418i | \(-0.00545668\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.83070e7 | + | 3.17087e7i | −0.589175 | + | 1.02048i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.20942e7 | 0.707492 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.67257e7 | + | 4.62903e7i | 0.851514 | + | 1.47487i | 0.879841 | + | 0.475267i | \(0.157649\pi\) |
−0.0283272 | + | 0.999599i | \(0.509018\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.78311e7 | 0.565281 |
(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 | 76.6.e.a.49.9 | yes | 18 | |
3.2 | odd | 2 | 684.6.k.f.505.6 | 18 | |||
4.3 | odd | 2 | 304.6.i.d.49.1 | 18 | |||
19.7 | even | 3 | inner | 76.6.e.a.45.9 | ✓ | 18 | |
57.26 | odd | 6 | 684.6.k.f.577.6 | 18 | |||
76.7 | odd | 6 | 304.6.i.d.273.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.6.e.a.45.9 | ✓ | 18 | 19.7 | even | 3 | inner | |
76.6.e.a.49.9 | yes | 18 | 1.1 | even | 1 | trivial | |
304.6.i.d.49.1 | 18 | 4.3 | odd | 2 | |||
304.6.i.d.273.1 | 18 | 76.7 | odd | 6 | |||
684.6.k.f.505.6 | 18 | 3.2 | odd | 2 | |||
684.6.k.f.577.6 | 18 | 57.26 | odd | 6 |