Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,4,Mod(5,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.w (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(14.8684813214\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.20 | ||
Character | \(\chi\) | \(=\) | 252.5 |
Dual form | 252.4.w.a.101.20 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 3.80953 | + | 3.53377i | 0.733144 | + | 0.680074i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.77250 | − | 6.53416i | −0.337422 | − | 0.584433i | 0.646525 | − | 0.762893i | \(-0.276222\pi\) |
−0.983947 | + | 0.178460i | \(0.942888\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 14.8160 | − | 11.1124i | 0.799991 | − | 0.600012i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.02498 | + | 26.9240i | 0.0749992 | + | 0.997184i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 49.1821 | + | 28.3953i | 1.34809 | + | 0.778319i | 0.987978 | − | 0.154592i | \(-0.0494062\pi\) |
0.360109 | + | 0.932910i | \(0.382740\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −41.0023 | − | 23.6727i | −0.874768 | − | 0.505048i | −0.00583823 | − | 0.999983i | \(-0.501858\pi\) |
−0.868930 | + | 0.494935i | \(0.835192\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 8.71876 | − | 38.2232i | 0.150078 | − | 0.657945i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −23.2821 | − | 40.3258i | −0.332161 | − | 0.575320i | 0.650774 | − | 0.759271i | \(-0.274445\pi\) |
−0.982935 | + | 0.183951i | \(0.941111\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 85.5255 | + | 49.3782i | 1.03268 | + | 0.596218i | 0.917751 | − | 0.397156i | \(-0.130003\pi\) |
0.114928 | + | 0.993374i | \(0.463336\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 95.7106 | + | 10.0236i | 0.994561 | + | 0.104158i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 171.876 | − | 99.2327i | 1.55820 | − | 0.899628i | 0.560772 | − | 0.827970i | \(-0.310504\pi\) |
0.997429 | − | 0.0716582i | \(-0.0228291\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 34.0365 | − | 58.9530i | 0.272292 | − | 0.471624i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −87.4288 | + | 109.723i | −0.623173 | + | 0.782084i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 151.458 | − | 87.4444i | 0.969830 | − | 0.559932i | 0.0706455 | − | 0.997501i | \(-0.477494\pi\) |
0.899184 | + | 0.437570i | \(0.144161\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 94.3050i | 0.546377i | 0.961961 | + | 0.273188i | \(0.0880783\pi\) | ||||
−0.961961 | + | 0.273188i | \(0.911922\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 87.0181 | + | 281.971i | 0.459028 | + | 1.48742i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −128.503 | − | 54.8890i | −0.620602 | − | 0.265084i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −216.629 | + | 375.212i | −0.962528 | + | 1.66715i | −0.246413 | + | 0.969165i | \(0.579252\pi\) |
−0.716115 | + | 0.697982i | \(0.754081\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −72.5455 | − | 235.074i | −0.297861 | − | 0.965179i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −129.589 | + | 224.454i | −0.493619 | + | 0.854973i | −0.999973 | − | 0.00735276i | \(-0.997660\pi\) |
0.506354 | + | 0.862326i | \(0.330993\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 177.731 | + | 307.840i | 0.630321 | + | 1.09175i | 0.987486 | + | 0.157707i | \(0.0504100\pi\) |
−0.357165 | + | 0.934041i | \(0.616257\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 168.286 | − | 114.802i | 0.557480 | − | 0.380304i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 468.923 | 1.45531 | 0.727653 | − | 0.685945i | \(-0.240611\pi\) | ||||
0.727653 | + | 0.685945i | \(0.240611\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 96.0304 | − | 329.283i | 0.279972 | − | 0.960008i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 53.8082 | − | 235.896i | 0.147738 | − | 0.647687i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −83.4534 | + | 48.1818i | −0.216287 | + | 0.124873i | −0.604230 | − | 0.796810i | \(-0.706519\pi\) |
0.387943 | + | 0.921683i | \(0.373186\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 428.485i | − | 1.05049i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 151.321 | + | 490.335i | 0.351630 | + | 1.13941i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −489.780 | −1.08074 | −0.540372 | − | 0.841426i | \(-0.681717\pi\) | ||||
−0.540372 | + | 0.841426i | \(0.681717\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 697.552i | − | 1.46414i | −0.681231 | − | 0.732068i | \(-0.738555\pi\) | ||
0.681231 | − | 0.732068i | \(-0.261445\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 329.191 | + | 376.404i | 0.658321 | + | 0.752738i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 357.220i | 0.681658i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −13.4143 | −0.0244600 | −0.0122300 | − | 0.999925i | \(-0.503893\pi\) | ||||
−0.0122300 | + | 0.999925i | \(0.503893\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1005.43 | + | 229.340i | 1.75420 | + | 0.400136i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 787.178i | − | 1.31579i | −0.753111 | − | 0.657893i | \(-0.771448\pi\) | ||
0.753111 | − | 0.657893i | \(-0.228552\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −725.727 | + | 418.998i | −1.16356 | + | 0.671782i | −0.952155 | − | 0.305617i | \(-0.901137\pi\) |
−0.211405 | + | 0.977398i | \(0.567804\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 337.989 | − | 104.306i | 0.520368 | − | 0.160589i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1044.22 | − | 125.824i | 1.54546 | − | 0.186220i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −473.028 | −0.673668 | −0.336834 | − | 0.941564i | \(-0.609356\pi\) | ||||
−0.336834 | + | 0.941564i | \(0.609356\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −720.799 | + | 109.041i | −0.988750 | + | 0.149576i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −216.914 | − | 375.705i | −0.286860 | − | 0.496856i | 0.686199 | − | 0.727414i | \(-0.259278\pi\) |
−0.973058 | + | 0.230558i | \(0.925945\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −175.664 | + | 304.258i | −0.224157 | + | 0.388252i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 885.992 | + | 202.096i | 1.09182 | + | 0.249046i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 611.420 | − | 1059.01i | 0.728206 | − | 1.26129i | −0.229435 | − | 0.973324i | \(-0.573688\pi\) |
0.957641 | − | 0.287966i | \(-0.0929790\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −870.551 | + | 104.897i | −1.00284 | + | 0.120837i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −333.252 | + | 359.257i | −0.371577 | + | 0.400573i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | − | 745.117i | − | 0.804709i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −174.198 | + | 100.573i | −0.182341 | + | 0.105275i | −0.588392 | − | 0.808576i | \(-0.700239\pi\) |
0.406051 | + | 0.913850i | \(0.366906\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −664.921 | + | 1381.68i | −0.675021 | + | 1.40266i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 250.434 | − | 433.764i | 0.246724 | − | 0.427338i | −0.715891 | − | 0.698212i | \(-0.753979\pi\) |
0.962615 | + | 0.270874i | \(0.0873127\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1618.98 | + | 934.717i | −1.54876 | + | 0.894179i | −0.550527 | + | 0.834818i | \(0.685573\pi\) |
−0.998237 | + | 0.0593611i | \(0.981094\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −295.573 | − | 663.202i | −0.274714 | − | 0.616399i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 52.0731 | + | 30.0644i | 0.0470476 | + | 0.0271630i | 0.523339 | − | 0.852124i | \(-0.324686\pi\) |
−0.476292 | + | 0.879287i | \(0.658019\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −874.873 | − | 1515.32i | −0.768785 | − | 1.33158i | −0.938222 | − | 0.346034i | \(-0.887528\pi\) |
0.169436 | − | 0.985541i | \(-0.445805\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2151.16 | + | 663.864i | −1.83945 | + | 0.567668i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −236.459 | − | 136.520i | −0.196852 | − | 0.113652i | 0.398335 | − | 0.917240i | \(-0.369588\pi\) |
−0.595186 | + | 0.803588i | \(0.702922\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1296.80 | − | 748.710i | −1.05154 | − | 0.607110i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 554.333 | − | 1151.88i | 0.438018 | − | 0.910182i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −793.064 | − | 338.750i | −0.610925 | − | 0.260951i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 947.086 | + | 1640.40i | 0.711560 | + | 1.23246i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1286.84 | + | 397.128i | −0.943338 | + | 0.291121i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1456.74 | −1.04235 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −919.086 | −0.642171 | −0.321085 | − | 0.947050i | \(-0.604048\pi\) | ||||
−0.321085 | + | 0.947050i | \(0.604048\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −410.762 | + | 1800.79i | −0.280353 | + | 1.22907i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 451.099 | + | 781.327i | 0.300861 | + | 0.521106i | 0.976331 | − | 0.216281i | \(-0.0693928\pi\) |
−0.675471 | + | 0.737387i | \(0.736059\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1815.86 | − | 218.802i | 1.18387 | − | 0.142651i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1046.77 | + | 157.343i | 0.667348 | + | 0.100310i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 976.413 | + | 563.733i | 0.608910 | + | 0.351554i | 0.772539 | − | 0.634968i | \(-0.218987\pi\) |
−0.163629 | + | 0.986522i | \(0.552320\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −623.154 | − | 359.778i | −0.380253 | − | 0.219539i | 0.297675 | − | 0.954667i | \(-0.403789\pi\) |
−0.677929 | + | 0.735128i | \(0.737122\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1786.37 | + | 1657.06i | 1.06695 | + | 0.989716i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1344.39 | − | 2328.54i | −0.786176 | − | 1.36170i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1142.75 | − | 659.768i | −0.654485 | − | 0.377867i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1529.44 | − | 915.062i | 0.858136 | − | 0.513422i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −256.791 | + | 148.258i | −0.141189 | + | 0.0815153i | −0.568930 | − | 0.822386i | \(-0.692643\pi\) |
0.427742 | + | 0.903901i | \(0.359309\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −303.762 | + | 526.131i | −0.163707 | + | 0.283549i | −0.936195 | − | 0.351480i | \(-0.885679\pi\) |
0.772488 | + | 0.635029i | \(0.219012\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1038.58 | − | 708.506i | 0.548788 | − | 0.374374i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 616.204 | − | 355.766i | 0.319321 | − | 0.184360i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 196.402i | 0.0998383i | 0.998753 | + | 0.0499191i | \(0.0158964\pi\) | ||||
−0.998753 | + | 0.0499191i | \(0.984104\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −488.181 | − | 111.355i | −0.243492 | − | 0.0555410i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1443.81 | − | 3380.19i | 0.706760 | − | 1.65463i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −796.131 | + | 1378.94i | −0.382563 | + | 0.662619i | −0.991428 | − | 0.130655i | \(-0.958292\pi\) |
0.608865 | + | 0.793274i | \(0.291625\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1514.17 | − | 1632.32i | 0.714410 | − | 0.770159i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −756.255 | + | 1309.87i | −0.350424 | + | 0.606951i | −0.986324 | − | 0.164820i | \(-0.947296\pi\) |
0.635900 | + | 0.771771i | \(0.280629\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 22.2908 | + | 38.6088i | 0.0101460 | + | 0.0175734i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1156.27 | + | 2402.68i | −0.517088 | + | 1.07449i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1177.69 | −0.517561 | −0.258781 | − | 0.965936i | \(-0.583321\pi\) | ||||
−0.258781 | + | 0.965936i | \(0.583321\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −150.821 | − | 1251.68i | −0.0651485 | − | 0.540673i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1865.83 | − | 1730.77i | −0.792341 | − | 0.734986i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 899.277 | − | 519.198i | 0.375504 | − | 0.216797i | −0.300357 | − | 0.953827i | \(-0.597106\pi\) |
0.675860 | + | 0.737030i | \(0.263772\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3190.62i | 1.31026i | 0.755516 | + | 0.655130i | \(0.227386\pi\) | ||||
−0.755516 | + | 0.655130i | \(0.772614\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2464.99 | − | 2657.34i | 0.995721 | − | 1.07342i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 3268.92 | 1.29911 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 2644.41i | − | 1.03411i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −76.0625 | + | 2597.21i | −0.0292737 | + | 0.999571i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 1872.31i | − | 0.709296i | −0.935000 | − | 0.354648i | \(-0.884601\pi\) | ||
0.935000 | − | 0.354648i | \(-0.115399\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1593.98 | 0.594493 | 0.297247 | − | 0.954801i | \(-0.403932\pi\) | ||||
0.297247 | + | 0.954801i | \(0.403932\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1262.33 | + | 1360.84i | −0.463577 | + | 0.499753i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4318.76i | 1.56192i | 0.624580 | + | 0.780961i | \(0.285270\pi\) | ||||
−0.624580 | + | 0.780961i | \(0.714730\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2988.87 | − | 1725.63i | 1.06470 | − | 0.614706i | 0.137973 | − | 0.990436i | \(-0.455941\pi\) |
0.926729 | + | 0.375730i | \(0.122608\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −51.1022 | − | 47.4031i | −0.0179327 | − | 0.0166346i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1272.30 | − | 2978.64i | 0.439890 | − | 1.02985i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1955.49 | 0.666232 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3019.78 | + | 4426.64i | 1.01396 | + | 1.48634i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2804.22 | + | 4857.05i | 0.928095 | + | 1.60751i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1228.66 | + | 2128.11i | −0.400876 | + | 0.694337i | −0.993832 | − | 0.110898i | \(-0.964627\pi\) |
0.592956 | + | 0.805235i | \(0.297961\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2781.70 | − | 2998.77i | 0.894832 | − | 0.964660i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1340.98 | − | 2322.65i | 0.425369 | − | 0.736760i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1047.95 | + | 1397.23i | 0.327833 | + | 0.437097i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4245.32 | − | 968.363i | −1.30992 | − | 0.298794i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2204.60i | 0.671029i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3304.21 | + | 1907.68i | −0.992225 | + | 0.572861i | −0.905938 | − | 0.423409i | \(-0.860833\pi\) |
−0.0862860 | + | 0.996270i | \(0.527500\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1656.17 | + | 797.019i | 0.490717 | + | 0.236154i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1919.23 | + | 3324.20i | −0.561162 | + | 0.971961i | 0.436233 | + | 0.899834i | \(0.356312\pi\) |
−0.997395 | + | 0.0721277i | \(0.977021\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2230.42 | − | 1287.74i | 0.643627 | − | 0.371598i | −0.142383 | − | 0.989812i | \(-0.545477\pi\) |
0.786010 | + | 0.618213i | \(0.212143\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4422.63 | + | 3210.71i | 1.25969 | + | 0.914500i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3578.43 | − | 2066.01i | −1.00614 | − | 0.580896i | −0.0960817 | − | 0.995373i | \(-0.530631\pi\) |
−0.910060 | + | 0.414478i | \(0.863964\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1769.01 | − | 3064.01i | −0.491053 | − | 0.850529i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1802.01 | − | 1671.57i | −0.493896 | − | 0.458144i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4518.49 | + | 2608.75i | 1.22291 | + | 0.706050i | 0.965538 | − | 0.260261i | \(-0.0838087\pi\) |
0.257376 | + | 0.966311i | \(0.417142\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4733.66 | − | 2732.98i | −1.26524 | − | 0.730484i | −0.291153 | − | 0.956676i | \(-0.594039\pi\) |
−0.974083 | + | 0.226192i | \(0.927372\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3131.23 | − | 2131.74i | −0.826619 | − | 0.562763i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2513.86 | + | 614.741i | −0.655529 | + | 0.160304i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2337.83 | − | 4049.24i | −0.602236 | − | 1.04310i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 501.317 | − | 2197.78i | 0.127589 | − | 0.559352i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1445.51 | −0.363505 | −0.181752 | − | 0.983344i | \(-0.558177\pi\) | ||||
−0.181752 | + | 0.983344i | \(0.558177\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11271.0 | 2.80079 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1744.37 | + | 538.325i | −0.428380 | + | 0.132201i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −370.431 | − | 641.604i | −0.0899098 | − | 0.155728i | 0.817563 | − | 0.575839i | \(-0.195325\pi\) |
−0.907473 | + | 0.420111i | \(0.861991\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 959.914 | + | 7966.41i | 0.230294 | + | 1.91123i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2661.05 | + | 3900.78i | 0.631091 | + | 0.925104i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3153.75 | + | 1820.82i | 0.739424 | + | 0.426907i | 0.821860 | − | 0.569690i | \(-0.192937\pi\) |
−0.0824358 | + | 0.996596i | \(0.526270\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 629.655 | + | 363.532i | 0.145960 | + | 0.0842701i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6071.51 | − | 1873.71i | 1.39165 | − | 0.429473i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1896.50 | − | 3284.83i | −0.429857 | − | 0.744535i | 0.567003 | − | 0.823716i | \(-0.308103\pi\) |
−0.996860 | + | 0.0791811i | \(0.974769\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2612.92 | − | 1508.57i | −0.585696 | − | 0.338152i | 0.177698 | − | 0.984085i | \(-0.443135\pi\) |
−0.763394 | + | 0.645933i | \(0.776468\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3687.07 | − | 2676.72i | −0.817405 | − | 0.593415i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3347.97 | − | 1932.95i | 0.734147 | − | 0.423860i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1666.31 | − | 2886.13i | 0.361439 | − | 0.626031i | −0.626759 | − | 0.779213i | \(-0.715619\pi\) |
0.988198 | + | 0.153182i | \(0.0489522\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2539.06 | + | 190.966i | −0.544838 | + | 0.0409778i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4170.82 | + | 2408.02i | −0.885446 | + | 0.511212i | −0.872450 | − | 0.488703i | \(-0.837470\pi\) |
−0.0129957 | + | 0.999916i | \(0.504137\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 1535.22i | − | 0.322472i | −0.986916 | − | 0.161236i | \(-0.948452\pi\) | ||
0.986916 | − | 0.161236i | \(-0.0515480\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2633.07 | − | 2838.54i | 0.547261 | − | 0.589967i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 574.227 | + | 4765.57i | 0.118103 | + | 0.980148i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1372.39 | − | 2377.04i | 0.279338 | − | 0.483827i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1019.01 | − | 232.438i | −0.205277 | − | 0.0468240i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −612.380 | + | 1060.67i | −0.122101 | + | 0.211485i | −0.920596 | − | 0.390516i | \(-0.872297\pi\) |
0.798495 | + | 0.602001i | \(0.205630\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1847.69 | + | 3200.30i | 0.364667 | + | 0.631622i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −7415.56 | + | 2913.86i | −1.44880 | + | 0.569290i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −9396.41 | −1.81742 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6054.11 | + | 2585.95i | 1.15931 | + | 0.495189i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2486.85 | − | 767.460i | 0.471505 | − | 0.145510i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4557.91 | + | 2631.51i | −0.855690 | + | 0.494033i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2685.67i | 0.499280i | 0.968339 | + | 0.249640i | \(0.0803124\pi\) | ||||
−0.968339 | + | 0.249640i | \(0.919688\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9470.61 | − | 2160.26i | −1.74357 | − | 0.397712i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −509.831 | −0.0929578 | −0.0464789 | − | 0.998919i | \(-0.514800\pi\) | ||||
−0.0464789 | + | 0.998919i | \(0.514800\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2485.09i | 0.448772i | 0.974500 | + | 0.224386i | \(0.0720377\pi\) | ||||
−0.974500 | + | 0.224386i | \(0.927962\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1217.61 | − | 3570.97i | 0.217793 | − | 0.638735i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7161.52i | 1.26887i | 0.772977 | + | 0.634434i | \(0.218767\pi\) | ||||
−0.772977 | + | 0.634434i | \(0.781233\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9932.04 | 1.74322 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 92.1332 | + | 298.545i | 0.0160198 | + | 0.0519102i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 4598.52i | − | 0.792162i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2791.15 | + | 1611.47i | −0.476385 | + | 0.275041i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2021.95 | − | 8864.26i | 0.341939 | − | 1.49907i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6947.58 | − | 5210.84i | 1.16423 | − | 0.873201i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7301.84 | 1.21252 | 0.606262 | − | 0.795265i | \(-0.292668\pi\) | ||||
0.606262 | + | 0.795265i | \(0.292668\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −10540.9 | − | 5072.71i | −1.73464 | − | 0.834782i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 50.6055 | + | 87.6513i | 0.00825336 | + | 0.0142952i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2715.34 | + | 4703.10i | −0.438913 | + | 0.760220i | −0.997606 | − | 0.0691544i | \(-0.977970\pi\) |
0.558692 | + | 0.829375i | \(0.311303\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −418.369 | − | 1355.67i | −0.0670285 | − | 0.217197i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2677.82 | + | 4638.12i | −0.425255 | + | 0.736564i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2236.32 | − | 5945.79i | −0.352041 | − | 0.935985i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2294.44 | − | 7434.84i | −0.358054 | − | 1.16023i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 3350.18i | − | 0.518291i | −0.965838 | − | 0.259146i | \(-0.916559\pi\) | ||
0.965838 | − | 0.259146i | \(-0.0834410\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 823.653 | − | 475.536i | 0.126330 | − | 0.0729366i | −0.435503 | − | 0.900187i | \(-0.643430\pi\) |
0.561833 | + | 0.827251i | \(0.310096\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6182.22 | − | 2429.23i | 0.940122 | − | 0.369410i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −478.499 | + | 828.784i | −0.0721471 | + | 0.124962i | −0.899842 | − | 0.436216i | \(-0.856318\pi\) |
0.827695 | + | 0.561178i | \(0.189652\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5143.54 | + | 2969.63i | −0.768989 | + | 0.443976i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1824.14 | − | 4092.98i | −0.270430 | − | 0.606788i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4129.52 | + | 2384.18i | 0.607097 | + | 0.350508i | 0.771828 | − | 0.635831i | \(-0.219342\pi\) |
−0.164732 | + | 0.986338i | \(0.552676\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1446.91 | + | 2506.13i | 0.210951 | + | 0.365378i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −2188.85 | + | 9595.93i | −0.316487 | + | 1.38748i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5475.60 | + | 3161.34i | 0.785222 | + | 0.453348i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −402.274 | − | 232.253i | −0.0572168 | − | 0.0330341i | 0.471119 | − | 0.882070i | \(-0.343850\pi\) |
−0.528335 | + | 0.849036i | \(0.677184\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6305.61 | − | 3034.53i | −0.889586 | − | 0.428106i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −701.035 | + | 1641.23i | −0.0981022 | + | 0.229672i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4414.52 | − | 7646.18i | −0.612803 | − | 1.06141i | −0.990766 | − | 0.135585i | \(-0.956709\pi\) |
0.377963 | − | 0.925821i | \(-0.376625\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5549.47 | − | 5147.76i | −0.764196 | − | 0.708878i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −8280.17 | −1.13117 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9957.69 | 1.34958 | 0.674792 | − | 0.738008i | \(-0.264233\pi\) | ||||
0.674792 | + | 0.738008i | \(0.264233\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3501.28 | − | 3247.84i | −0.470804 | − | 0.436724i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4183.98 | − | 7246.87i | −0.558203 | − | 0.966835i | −0.997647 | − | 0.0685654i | \(-0.978158\pi\) |
0.439444 | − | 0.898270i | \(-0.355175\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4761.48 | − | 6348.45i | −0.630306 | − | 0.840382i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −7928.37 | + | 5408.60i | −1.04140 | + | 0.710426i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2449.32 | − | 1414.12i | −0.319243 | − | 0.184315i | 0.331812 | − | 0.943346i | \(-0.392340\pi\) |
−0.651055 | + | 0.759030i | \(0.725673\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8003.28 | − | 4620.70i | −1.03515 | − | 0.597644i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1042.55 | + | 4570.57i | −0.133816 | + | 0.586653i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1784.50 | + | 3090.84i | 0.227311 | + | 0.393714i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7266.91 | + | 4195.55i | 0.918680 | + | 0.530400i | 0.883214 | − | 0.468971i | \(-0.155375\pi\) |
0.0354662 | + | 0.999371i | \(0.488708\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 7690.76 | + | 5583.29i | 0.964961 | + | 0.700537i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9824.80 | + | 5672.35i | −1.22351 | + | 0.706393i | −0.965664 | − | 0.259793i | \(-0.916346\pi\) |
−0.257845 | + | 0.966186i | \(0.583012\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2232.45 | − | 3866.72i | 0.275946 | − | 0.477953i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3431.70 | + | 4298.46i | 0.421044 | + | 0.527388i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −21308.5 | + | 12302.5i | −2.59514 | + | 1.49831i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 5561.60i | − | 0.672380i | −0.941794 | − | 0.336190i | \(-0.890862\pi\) | ||
0.941794 | − | 0.336190i | \(-0.109138\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1727.57 | + | 5597.97i | 0.207335 | + | 0.671843i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −7256.60 | + | 5442.62i | −0.864586 | + | 0.648459i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1636.61 | + | 2834.70i | −0.193586 | + | 0.335301i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1102.55 | − | 3572.66i | −0.129477 | − | 0.419554i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2668.47 | − | 4621.92i | 0.311129 | − | 0.538892i | −0.667478 | − | 0.744630i | \(-0.732626\pi\) |
0.978607 | + | 0.205738i | \(0.0659595\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6734.22 | + | 11664.0i | 0.779586 | + | 1.35028i | 0.932180 | + | 0.361994i | \(0.117904\pi\) |
−0.152594 | + | 0.988289i | \(0.548763\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 949.558 | + | 12625.3i | 0.109147 | + | 1.45121i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3169.77 | −0.361780 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7751.46 | − | 10335.0i | −0.878499 | − | 1.17130i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3107.06 | − | 13621.4i | 0.349674 | − | 1.53298i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9288.24 | − | 5362.57i | 1.03805 | − | 0.599318i | 0.118769 | − | 0.992922i | \(-0.462105\pi\) |
0.919280 | + | 0.393604i | \(0.128772\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 4680.18i | − | 0.519434i | −0.965685 | − | 0.259717i | \(-0.916371\pi\) | ||
0.965685 | − | 0.259717i | \(-0.0836293\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2021.87 | − | 6551.62i | −0.222854 | − | 0.722129i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 19599.7 | 2.14550 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2450.71i | 0.266438i | 0.991087 | + | 0.133219i | \(0.0425313\pi\) | ||||
−0.991087 | + | 0.133219i | \(0.957469\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9060.06 | + | 1918.73i | 0.978302 | + | 0.207184i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10179.0i | 1.09169i | 0.837888 | + | 0.545843i | \(0.183790\pi\) | ||||
−0.837888 | + | 0.545843i | \(0.816210\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9226.32 | −0.982852 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1502.16 | − | 342.645i | −0.158948 | − | 0.0362563i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 4048.85i | − | 0.425561i | −0.977100 | − | 0.212780i | \(-0.931748\pi\) | ||
0.977100 | − | 0.212780i | \(-0.0682519\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12746.9 | + | 7359.43i | −1.33088 | + | 0.768385i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −3016.41 | + | 930.886i | −0.312855 | + | 0.0965493i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3969.57 | + | 5292.59i | 0.409003 | + | 0.545320i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1146.77 | −0.117382 | −0.0586910 | − | 0.998276i | \(-0.518693\pi\) | ||||
−0.0586910 | + | 0.998276i | \(0.518693\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 6460.21 | + | 971.046i | 0.656943 | + | 0.0987463i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 811.579 | + | 1405.70i | 0.0819935 | + | 0.142017i | 0.904106 | − | 0.427308i | \(-0.140538\pi\) |
−0.822113 | + | 0.569325i | \(0.807205\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1433.87 | − | 2483.54i | 0.143926 | − | 0.249287i | −0.785046 | − | 0.619438i | \(-0.787361\pi\) |
0.928972 | + | 0.370151i | \(0.120694\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3604.64 | + | 822.223i | 0.359486 | + | 0.0819993i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7595.86 | − | 13156.4i | 0.752665 | − | 1.30365i | −0.193862 | − | 0.981029i | \(-0.562101\pi\) |
0.946527 | − | 0.322625i | \(-0.104565\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −198.747 | + | 149.065i | −0.0195678 | + | 0.0146763i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −694.040 | + | 748.200i | −0.0678974 | + | 0.0731958i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 20187.0i | 1.96236i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5821.98 | − | 3361.32i | 0.562381 | − | 0.324691i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1466.24 | − | 2149.33i | −0.140743 | − | 0.206312i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3938.22 | − | 6821.20i | 0.375662 | − | 0.650665i | −0.614764 | − | 0.788711i | \(-0.710749\pi\) |
0.990426 | + | 0.138046i | \(0.0440821\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17764.5 | − | 10256.4i | 1.68398 | − | 0.972245i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 17445.0 | − | 7774.81i | 1.64343 | − | 0.732435i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1314.32 | + | 758.824i | 0.123052 | + | 0.0710441i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1027.58 | + | 1779.82i | 0.0956143 | + | 0.165609i | 0.909865 | − | 0.414905i | \(-0.136185\pi\) |
−0.814251 | + | 0.580514i | \(0.802852\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7905.73 | + | 2439.76i | −0.731104 | + | 0.225624i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2541.83 | − | 1467.53i | −0.233628 | − | 0.134885i | 0.378617 | − | 0.925554i | \(-0.376400\pi\) |
−0.612245 | + | 0.790668i | \(0.709733\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7052.53 | − | 4071.78i | −0.644280 | − | 0.371975i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 11536.5 | − | 867.672i | 1.04753 | − | 0.0787858i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8747.41 | − | 11662.9i | −0.789487 | − | 1.05262i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8687.94 | + | 15047.9i | 0.779410 | + | 1.34998i | 0.932282 | + | 0.361731i | \(0.117814\pi\) |
−0.152873 | + | 0.988246i | \(0.548852\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −7509.75 | + | 2317.56i | −0.669683 | + | 0.206669i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −6001.85 | −0.532027 | −0.266013 | − | 0.963969i | \(-0.585707\pi\) | ||||
−0.266013 | + | 0.963969i | \(0.585707\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3779.04 | −0.333000 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −51.5172 | + | 225.852i | −0.00451274 | + | 0.0197839i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3420.88 | − | 5925.14i | −0.297894 | − | 0.515967i | 0.677760 | − | 0.735283i | \(-0.262951\pi\) |
−0.975654 | + | 0.219316i | \(0.929617\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6096.33 | + | 14272.4i | −0.527761 | + | 1.23557i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −12895.3 | + | 5067.07i | −1.10983 | + | 0.436095i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 12215.2 | + | 7052.44i | 1.04517 | + | 0.603432i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 23062.6 | + | 13315.2i | 1.96188 | + | 1.13269i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4486.44 | − | 4161.68i | −0.379447 | − | 0.351980i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3540.51 | − | 6132.35i | −0.297721 | − | 0.515668i | 0.677893 | − | 0.735160i | \(-0.262893\pi\) |
−0.975614 | + | 0.219493i | \(0.929560\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15657.2 | + | 9039.69i | 1.30907 | + | 0.755790i | 0.981940 | − | 0.189191i | \(-0.0605866\pi\) |
0.327126 | + | 0.944981i | \(0.393920\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3848.58 | − | 5301.26i | 0.319935 | − | 0.440697i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3802.93 | − | 2195.62i | 0.314342 | − | 0.181485i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13610.8 | − | 23574.5i | 1.11866 | − | 1.93758i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −991.794 | − | 13186.8i | −0.0810549 | − | 1.07770i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10626.9 | − | 6135.43i | 0.863604 | − | 0.498602i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 453.672i | − | 0.0366616i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5260.55 | + | 1199.94i | 0.422736 | + | 0.0964267i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 14073.1 | − | 13468.0i | 1.12462 | − | 1.07627i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1588.46 | + | 2751.29i | −0.126235 | + | 0.218645i | −0.922215 | − | 0.386678i | \(-0.873623\pi\) |
0.795980 | + | 0.605323i | \(0.206956\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −11274.9 | + | 12154.8i | −0.891074 | + | 0.960609i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −6600.91 | + | 11433.1i | −0.518811 | + | 0.898607i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1380.00 | + | 2390.24i | 0.107870 | + | 0.186836i | 0.914907 | − | 0.403665i | \(-0.132264\pi\) |
−0.807037 | + | 0.590500i | \(0.798930\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 18780.9 | − | 1412.53i | 1.46001 | − | 0.109809i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 17271.4 | 1.33536 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7008.40 | + | 5256.46i | −0.538929 | + | 0.404209i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 12453.1 | + | 11551.6i | 0.952437 | + | 0.883494i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5282.58 | + | 3049.90i | −0.401849 | + | 0.232008i | −0.687282 | − | 0.726391i | \(-0.741196\pi\) |
0.285432 | + | 0.958399i | \(0.407863\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 16829.5i | − | 1.27337i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9344.73 | − | 10074.0i | 0.703271 | − | 0.758151i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 22413.0 | 1.67779 | 0.838894 | − | 0.544294i | \(-0.183203\pi\) | ||||
0.838894 | + | 0.544294i | \(0.183203\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2060.08i | 0.153395i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −9467.69 | + | 9625.34i | −0.701244 | + | 0.712921i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5204.40i | 0.383444i | 0.981449 | + | 0.191722i | \(0.0614072\pi\) | ||||
−0.981449 | + | 0.191722i | \(0.938593\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12697.2 | −0.930583 | −0.465292 | − | 0.885158i | \(-0.654050\pi\) | ||||
−0.465292 | + | 0.885158i | \(0.654050\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6616.30 | − | 7132.61i | 0.482373 | − | 0.520016i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 13510.1i | − | 0.979847i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3115.61 | − | 1798.80i | 0.224792 | − | 0.129783i | −0.383375 | − | 0.923593i | \(-0.625238\pi\) |
0.608167 | + | 0.793809i | \(0.291905\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6072.31 | + | 5632.76i | 0.435849 | + | 0.404299i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7388.78 | − | 3156.04i | −0.527605 | − | 0.225361i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5472.55 | −0.388765 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9617.79 | + | 723.363i | −0.679738 | + | 0.0511238i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1151.11 | + | 1993.78i | 0.0809393 | + | 0.140191i | 0.903654 | − | 0.428264i | \(-0.140875\pi\) |
−0.822714 | + | 0.568455i | \(0.807541\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4656.61 | + | 8065.49i | −0.325760 | + | 0.564232i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −15261.5 | + | 16452.4i | −1.06222 | + | 1.14511i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10090.0 | + | 17476.5i | −0.698732 | + | 1.21024i | 0.270174 | + | 0.962812i | \(0.412919\pi\) |
−0.968906 | + | 0.247428i | \(0.920415\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 778.391 | + | 6459.94i | 0.0536318 | + | 0.445095i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 17484.2 | + | 3988.16i | 1.19862 | + | 0.273408i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7886.74i | 0.537969i | 0.963144 | + | 0.268985i | \(0.0866881\pi\) | ||||
−0.963144 | + | 0.268985i | \(0.913312\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17585.9 | + | 10153.2i | −1.19358 | + | 0.689115i | −0.959117 | − | 0.283009i | \(-0.908667\pi\) |
−0.234465 | + | 0.972124i | \(0.575334\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −27.1637 | − | 361.167i | −0.00183448 | − | 0.0243911i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7145.76 | − | 12376.8i | 0.480192 | − | 0.831718i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17341.6 | + | 10012.2i | −1.15960 | + | 0.669494i | −0.951207 | − | 0.308552i | \(-0.900155\pi\) |
−0.208389 | + | 0.978046i | \(0.566822\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15372.7 | − | 6851.21i | 1.02288 | − | 0.455870i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −19226.9 | − | 11100.7i | −1.27306 | − | 0.734999i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2502.05 | − | 4333.67i | −0.164856 | − | 0.285539i | 0.771748 | − | 0.635928i | \(-0.219383\pi\) |
−0.936604 | + | 0.350389i | \(0.886049\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7449.51 | + | 6910.26i | 0.488444 | + | 0.453087i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −21325.2 | − | 12312.1i | −1.39144 | − | 0.803349i | −0.397966 | − | 0.917400i | \(-0.630284\pi\) |
−0.993475 | + | 0.114052i | \(0.963617\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14877.7 | − | 8589.64i | −0.966050 | − | 0.557749i | −0.0680204 | − | 0.997684i | \(-0.521668\pi\) |
−0.898030 | + | 0.439935i | \(0.855002\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4138.78 | + | 27534.6i | −0.267445 | + | 1.77927i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2709.29 | − | 22484.7i | −0.174230 | − | 1.44595i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1240.97 | + | 2149.42i | 0.0794218 | + | 0.137563i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6480.93 | + | 28412.5i | −0.412797 | + | 1.80971i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 20174.3 | 1.27886 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26068.5 | −1.64464 | −0.822321 | − | 0.569024i | \(-0.807321\pi\) | ||||
−0.822321 | + | 0.569024i | \(0.807321\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12200.9 | + | 3765.27i | −0.766100 | + | 0.236424i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3467.25 | + | 6005.45i | 0.216683 | + | 0.375306i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −11732.5 | + | 11228.0i | −0.729760 | + | 0.698385i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 21193.9 | − | 1594.02i | 1.31208 | − | 0.0986829i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4042.88 | + | 2334.16i | 0.249117 | + | 0.143828i | 0.619360 | − | 0.785107i | \(-0.287392\pi\) |
−0.370243 | + | 0.928935i | \(0.620726\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13001.3 | + | 7506.30i | 0.797388 | + | 0.460372i | 0.842557 | − | 0.538607i | \(-0.181049\pi\) |
−0.0451689 | + | 0.998979i | \(0.514383\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13316.2 | − | 4109.48i | 0.812908 | − | 0.250869i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6082.70 | − | 10535.5i | −0.369607 | − | 0.640177i | 0.619897 | − | 0.784683i | \(-0.287174\pi\) |
−0.989504 | + | 0.144506i | \(0.953841\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24088.4 | − | 13907.4i | −1.45694 | − | 0.841163i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −945.274 | + | 9026.00i | −0.0569097 | + | 0.543405i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6720.08 | + | 3879.84i | −0.402721 | + | 0.232511i | −0.687658 | − | 0.726035i | \(-0.741361\pi\) |
0.284936 | + | 0.958546i | \(0.408028\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3403.54 | − | 5895.11i | 0.203034 | − | 0.351666i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −12750.7 | − | 18691.0i | −0.757156 | − | 1.10990i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11524.2 | + | 6653.50i | −0.681213 | + | 0.393298i | −0.800312 | − | 0.599584i | \(-0.795333\pi\) |
0.119099 | + | 0.992882i | \(0.461999\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 15551.5i | − | 0.915105i | −0.889183 | − | 0.457552i | \(-0.848726\pi\) | ||
0.889183 | − | 0.457552i | \(-0.151274\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7790.54 | + | 8398.48i | −0.456349 | + | 0.491961i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −8280.01 | − | 11039.7i | −0.482835 | − | 0.643760i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 17354.7 | − | 30059.2i | 1.00746 | − | 1.74497i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −19328.8 | − | 4408.92i | −1.11703 | − | 0.254796i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 19807.2 | − | 34307.1i | 1.13956 | − | 1.97378i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4487.12 | − | 7771.92i | −0.257007 | − | 0.445149i | 0.708432 | − | 0.705779i | \(-0.249403\pi\) |
−0.965439 | + | 0.260630i | \(0.916070\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3492.74 | + | 8888.79i | 0.199164 | + | 0.506859i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 22542.8 | 1.27975 | 0.639875 | − | 0.768479i | \(-0.278986\pi\) | ||||
0.639875 | + | 0.768479i | \(0.278986\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1463.32 | + | 3425.85i | −0.0827053 | + | 0.193626i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −19058.3 | + | 5881.53i | −1.07242 | + | 0.330956i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 15772.5 | − | 9106.24i | 0.883626 | − | 0.510162i | 0.0117740 | − | 0.999931i | \(-0.496252\pi\) |
0.871852 | + | 0.489769i | \(0.162919\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 8506.72i | − | 0.474489i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 13047.4 | + | 2976.14i | 0.724585 | + | 0.165279i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 4562.37 | 0.252268 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 3525.57i | − | 0.194094i | −0.995280 | − | 0.0970469i | \(-0.969060\pi\) | ||
0.995280 | − | 0.0970469i | \(-0.0309397\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5502.20 | + | 27859.8i | 0.301604 | + | 1.52714i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5429.05i | 0.296310i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12068.4 | 0.655844 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6331.34 | − | 20515.9i | −0.342594 | − | 1.11013i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 20879.2i | 1.12496i | 0.826811 | + | 0.562480i | \(0.190153\pi\) | ||||
−0.826811 | + | 0.562480i | \(0.809847\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −37054.6 | + | 21393.5i | −1.98797 | + | 1.14775i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4088.43 | − | 17923.7i | 0.218410 | − | 0.957512i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1109.71 | − | 9209.58i | −0.0590310 | − | 0.489904i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 29582.8 | 1.56700 | 0.783502 | − | 0.621389i | \(-0.213431\pi\) | ||||
0.783502 | + | 0.621389i | \(0.213431\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −957.871 | − | 12735.8i | −0.0505246 | − | 0.671771i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9358.14 | + | 16208.8i | 0.491536 | + | 0.851365i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10143.4 | + | 17568.8i | −0.530547 | + | 0.918934i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7994.58 | + | 25905.4i | 0.416406 | + | 1.34931i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −6560.66 | + | 11363.4i | −0.340294 | + | 0.589406i | −0.984487 | − | 0.175456i | \(-0.943860\pi\) |
0.644193 | + | 0.764863i | \(0.277193\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13599.9 | + | 31839.5i | −0.702479 | + | 1.64461i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8375.29 | − | 27139.0i | −0.430817 | − | 1.39600i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | − | 11905.2i | − | 0.609860i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4229.65 | + | 2441.99i | −0.215776 | + | 0.124578i | −0.603993 | − | 0.796990i | \(-0.706424\pi\) |
0.388217 | + | 0.921568i | \(0.373091\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4395.41 | − | 19186.0i | −0.223310 | − | 0.974747i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8275.93 | − | 14334.3i | 0.418737 | − | 0.725273i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8789.04 | + | 5074.36i | −0.442879 | + | 0.255697i | −0.704818 | − | 0.709388i | \(-0.748971\pi\) |
0.261939 | + | 0.965084i | \(0.415638\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −11749.0 | − | 6541.52i | −0.589615 | − | 0.328283i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −659.745 | − | 380.904i | −0.0329742 | − | 0.0190377i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10276.2 | − | 17799.0i | −0.511526 | − | 0.885989i | −0.999911 | − | 0.0133603i | \(-0.995747\pi\) |
0.488385 | − | 0.872628i | \(-0.337586\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5403.04 | − | 23687.0i | 0.267862 | − | 1.17431i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23075.7 | − | 13322.7i | −1.13939 | − | 0.657825i | −0.193108 | − | 0.981178i | \(-0.561857\pi\) |
−0.946279 | + | 0.323352i | \(0.895190\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1937.48 | + | 1118.61i | 0.0952805 | + | 0.0550102i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9676.23 | − | 6600.97i | 0.473942 | − | 0.323316i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1105.60 | − | 133.220i | 0.0539358 | − | 0.00649900i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4790.97 | − | 8298.21i | −0.232790 | − | 0.403204i | 0.725838 | − | 0.687865i | \(-0.241452\pi\) |
−0.958628 | + | 0.284662i | \(0.908119\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5506.70 | − | 5108.09i | −0.266501 | − | 0.247210i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 4583.76 | 0.220954 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3537.16 | 0.169829 | 0.0849144 | − | 0.996388i | \(-0.472938\pi\) | ||||
0.0849144 | + | 0.996388i | \(0.472938\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 42937.0 | + | 39829.0i | 2.05338 | + | 1.90474i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −7689.31 | − | 13318.3i | −0.366277 | − | 0.634411i | 0.622703 | − | 0.782458i | \(-0.286035\pi\) |
−0.988980 | + | 0.148047i | \(0.952701\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −29801.0 | − | 12729.2i | −1.41398 | − | 0.603968i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8547.55 | − | 4113.44i | −0.403970 | − | 0.194408i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 20082.1 | + | 11594.4i | 0.945401 | + | 0.545827i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3181.18 | + | 1836.65i | 0.149176 | + | 0.0861267i | 0.572730 | − | 0.819744i | \(-0.305884\pi\) |
−0.423554 | + | 0.905871i | \(0.639218\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 856.116 | − | 3753.22i | 0.0399900 | − | 0.175317i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −3149.06 | − | 5454.33i | −0.146525 | − | 0.253788i | 0.783416 | − | 0.621498i | \(-0.213475\pi\) |
−0.929941 | + | 0.367709i | \(0.880142\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5559.56 | + | 3209.81i | 0.257684 | + | 0.148774i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −24494.6 | + | 33740.4i | −1.13094 | + | 1.55782i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −22166.3 | + | 12797.7i | −1.01950 | + | 0.588608i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22352.2 | − | 38715.1i | 1.02410 | − | 1.77379i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3647.11 | + | 24263.6i | −0.166459 | + | 1.10742i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1283.32 | − | 740.927i | 0.0583488 | − | 0.0336877i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 3822.89i | − | 0.173153i | −0.996245 | − | 0.0865765i | \(-0.972407\pi\) | ||
0.996245 | − | 0.0865765i | \(-0.0275927\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 5579.94 | + | 18081.1i | 0.251776 | + | 0.815847i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5020.45 | + | 604.940i | −0.225672 | + | 0.0271924i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −16512.9 | + | 28601.2i | −0.739459 | + | 1.28078i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1114.05 | + | 3609.94i | 0.0496998 | + | 0.161046i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −7152.20 | + | 12388.0i | −0.317872 | + | 0.550570i | −0.980044 | − | 0.198782i | \(-0.936301\pi\) |
0.662172 | + | 0.749352i | \(0.269635\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10917.5 | − | 18909.7i | −0.483397 | − | 0.837268i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 29750.8 | + | 14317.4i | 1.31235 | + | 0.631559i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −47590.3 | −2.09144 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −27533.5 | + | 3317.65i | −1.20550 | + | 0.145257i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4383.07 | − | 19215.4i | 0.191191 | − | 0.838186i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −20679.9 | + | 11939.6i | −0.898724 | + | 0.518878i | −0.876786 | − | 0.480881i | \(-0.840317\pi\) |
−0.0219379 | + | 0.999759i | \(0.506984\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 28307.9i | − | 1.22568i | −0.790208 | − | 0.612839i | \(-0.790028\pi\) | ||
0.790208 | − | 0.612839i | \(-0.209972\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4623.05 | − | 14980.4i | −0.199431 | − | 0.646230i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 12013.6 | 0.516342 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 35104.2i | 1.50323i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4587.09 | − | 23226.3i | −0.195709 | − | 0.990954i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 36809.7i | − | 1.56476i | −0.622802 | − | 0.782380i | \(-0.714006\pi\) | ||
0.622802 | − | 0.782380i | \(-0.285994\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3830.52 | 0.162240 | 0.0811201 | − | 0.996704i | \(-0.474150\pi\) | ||||
0.0811201 | + | 0.996704i | \(0.474150\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 19584.8 | + | 4467.32i | 0.826492 | + | 0.188524i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 18522.9i | − | 0.778843i | −0.921060 | − | 0.389422i | \(-0.872675\pi\) | ||
0.921060 | − | 0.389422i | \(-0.127325\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2362.46 | − | 1363.97i | 0.0989767 | − | 0.0571442i | −0.449695 | − | 0.893182i | \(-0.648467\pi\) |
0.548671 | + | 0.836038i | \(0.315134\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 16546.7 | − | 5106.44i | 0.690734 | − | 0.213165i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −15514.4 | + | 3793.90i | −0.645308 | + | 0.157804i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11411.9 | 0.472963 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10347.5 | − | 8244.97i | −0.427312 | − | 0.340487i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −19190.7 | − | 33239.3i | −0.789675 | − | 1.36776i | −0.926166 | − | 0.377116i | \(-0.876916\pi\) |
0.136491 | − | 0.990641i | \(-0.456418\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3098.54 | − | 5366.83i | 0.127047 | − | 0.220051i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −24398.2 | − | 5565.28i | −0.996821 | − | 0.227376i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 168.184 | − | 291.303i | 0.00684699 | − | 0.0118593i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 32260.8 | + | 13779.9i | 1.30873 | + | 0.559011i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 5425.12 | − | 5848.47i | 0.219305 | − | 0.236418i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 85986.6i | 3.46367i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 18992.7 | − | 10965.5i | 0.762366 | − | 0.440152i | −0.0677784 | − | 0.997700i | \(-0.521591\pi\) |
0.830145 | + | 0.557548i | \(0.188258\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 20061.5 | − | 1508.84i | 0.802443 | − | 0.0603525i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 14458.2 | − | 25042.3i | 0.576292 | − | 0.998167i | −0.419608 | − | 0.907705i | \(-0.637833\pi\) |
0.995900 | − | 0.0904612i | \(-0.0288341\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25092.2 | + | 14487.0i | −0.996664 | + | 0.575424i | −0.907259 | − | 0.420571i | \(-0.861830\pi\) |
−0.0894041 | + | 0.995995i | \(0.528496\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −14652.9 | + | 20183.7i | −0.579986 | + | 0.798908i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 38744.7 | + | 22369.2i | 1.52825 | + | 0.882338i | 0.999435 | + | 0.0336031i | \(0.0106982\pi\) |
0.528819 | + | 0.848735i | \(0.322635\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4442.83 | + | 7695.21i | 0.174637 | + | 0.302480i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13628.1 | − | 4205.71i | 0.533833 | − | 0.164744i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23264.5 | − | 13431.8i | −0.908164 | − | 0.524329i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 550.018 | + | 317.553i | 0.0213968 | + | 0.0123535i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −3060.57 | − | 4486.43i | −0.118654 | − | 0.173932i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −21583.1 | + | 16187.8i | −0.833875 | + | 0.625425i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3298.63 | + | 5713.40i | 0.127009 | + | 0.219986i | 0.922516 | − | 0.385958i | \(-0.126129\pi\) |
−0.795507 | + | 0.605944i | \(0.792796\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6081.05 | + | 1876.65i | −0.233343 | + | 0.0720113i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 42441.4 | 1.62303 | 0.811513 | − | 0.584334i | \(-0.198644\pi\) | ||||
0.811513 | + | 0.584334i | \(0.198644\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36843.7 | 1.40418 | 0.702088 | − | 0.712090i | \(-0.252251\pi\) | ||||
0.702088 | + | 0.712090i | \(0.252251\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4270.28 | + | 18720.9i | −0.162196 | + | 0.711071i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −8002.33 | − | 13860.4i | −0.302922 | − | 0.524676i | 0.673874 | − | 0.738846i | \(-0.264629\pi\) |
−0.976797 | + | 0.214169i | \(0.931296\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −13617.2 | + | 10213.2i | −0.513731 | + | 0.385310i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −38546.7 | − | 15104.4i | −1.44934 | − | 0.567921i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 40104.9 | + | 23154.6i | 1.50286 | + | 0.867679i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6785.04 | − | 3917.35i | −0.253407 | − | 0.146304i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −35795.9 | − | 33204.7i | −1.33243 | − | 1.23598i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8246.45 | + | 14283.3i | 0.305934 | + | 0.529893i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3885.94 | + | 2243.55i | 0.143684 | + | 0.0829562i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13925.1 | + | 31245.1i | 0.513178 | + | 1.15146i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 20848.0 | − | 12036.6i | 0.765759 | − | 0.442111i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4646.36 | + | 8047.73i | −0.170099 | + | 0.294620i | −0.938454 | − | 0.345403i | \(-0.887742\pi\) |
0.768355 | + | 0.640024i | \(0.221075\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 12185.8 | + | 5864.30i | 0.444638 | + | 0.213979i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6700.78 | + | 3868.70i | −0.243696 | + | 0.140698i | −0.616874 | − | 0.787062i | \(-0.711601\pi\) |
0.373178 | + | 0.927760i | \(0.378268\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 24637.3i | − | 0.893073i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −26662.6 | − | 6081.79i | −0.963322 | − | 0.219735i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 15365.9 | + | 6563.39i | 0.553355 | + | 0.236360i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1597.63 | − | 2767.18i | 0.0573461 | − | 0.0993263i | −0.835927 | − | 0.548840i | \(-0.815069\pi\) |
0.893273 | + | 0.449514i | \(0.148403\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −9490.52 | + | 10231.1i | −0.339548 | + | 0.366044i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −18634.6 | + | 32276.1i | −0.664535 | + | 1.15101i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14746.6 | + | 25541.8i | 0.524178 | + | 0.907902i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −28444.7 | − | 41696.5i | −1.00782 | − | 1.47734i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 44410.3 | 1.56841 | 0.784206 | − | 0.620500i | \(-0.213070\pi\) | ||||
0.784206 | + | 0.620500i | \(0.213070\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 24472.4 | − | 23420.3i | 0.861495 | − | 0.824456i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1942.21 | − | 1801.62i | −0.0681514 | − | 0.0632182i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −17279.0 | + | 9976.04i | −0.604368 | + | 0.348932i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4561.31i | 0.159030i | 0.996834 | + | 0.0795152i | \(0.0253372\pi\) | ||||
−0.996834 | + | 0.0795152i | \(0.974663\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8781.74 | + | 9467.03i | −0.305198 | + | 0.329015i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 21459.0 | 0.743406 | 0.371703 | − | 0.928352i | \(-0.378774\pi\) | ||||
0.371703 | + | 0.928352i | \(0.378774\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 51437.8i | 1.77629i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 17257.5 | − | 9300.95i | 0.594060 | − | 0.320169i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 53684.7i | − | 1.84215i | −0.389384 | − | 0.921075i | \(-0.627312\pi\) | ||
0.389384 | − | 0.921075i | \(-0.372688\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 39675.3 | 1.35713 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −25307.1 | + | 27282.0i | −0.862924 | + | 0.930262i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 14243.0i | − | 0.484131i | −0.970260 | − | 0.242065i | \(-0.922175\pi\) | ||
0.970260 | − | 0.242065i | \(-0.0778248\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12234.0 | + | 7063.28i | −0.414536 | + | 0.239332i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 37836.4 | + | 35097.5i | 1.27803 | + | 1.18552i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 20731.0 | − | 2497.98i | 0.698059 | − | 0.0841127i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20897.6 | 0.701472 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −704.006 | + | 1462.89i | −0.0235579 | + | 0.0489523i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −6013.29 | − | 10415.3i | −0.200595 | − | 0.347442i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5390.06 | − | 9335.85i | 0.179248 | − | 0.310466i | −0.762375 | − | 0.647135i | \(-0.775967\pi\) |
0.941623 | + | 0.336669i | \(0.109300\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 16250.1 | − | 17518.2i | 0.538729 | − | 0.580768i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −21692.8 | + | 37573.0i | −0.716945 | + | 1.24179i | 0.245259 | + | 0.969458i | \(0.421127\pi\) |
−0.962204 | + | 0.272328i | \(0.912206\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −13230.7 | + | 1594.23i | −0.435926 | + | 0.0525269i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −16327.5 | − | 3724.33i | −0.536307 | − | 0.122332i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | − | 44004.2i | − | 1.44096i | −0.693476 | − | 0.720480i | \(-0.743922\pi\) | ||
0.693476 | − | 0.720480i | \(-0.256078\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 60141.8 | − | 34722.9i | 1.96337 | − | 1.13355i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 39026.9 | − | 26623.5i | 1.27017 | − | 0.866487i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 7201.38 | − | 12473.2i | 0.233661 | − | 0.404712i | −0.725222 | − | 0.688515i | \(-0.758263\pi\) |
0.958883 | + | 0.283803i | \(0.0915962\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 28219.4 | − | 16292.5i | 0.912839 | − | 0.527028i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 44880.9 | + | 4700.28i | 1.44739 | + | 0.151582i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 61095.6 | + | 35273.6i | 1.96433 | + | 1.13411i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3574.74 | + | 6191.63i | 0.114587 | + | 0.198470i | 0.917614 | − | 0.397472i | \(-0.130112\pi\) |
−0.803028 | + | 0.595942i | \(0.796779\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 27816.5 | + | 25803.0i | 0.888954 | + | 0.824606i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −22551.0 | − | 13019.8i | −0.718509 | − | 0.414831i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −36180.2 | − | 20888.7i | −1.14929 | − | 0.663541i | −0.200574 | − | 0.979679i | \(-0.564281\pi\) |
−0.948713 | + | 0.316138i | \(0.897614\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −22229.9 | − | 56573.5i | −0.704027 | − | 1.79170i |
(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 | 252.4.w.a.5.20 | ✓ | 48 | |
3.2 | odd | 2 | 756.4.w.a.341.17 | 48 | |||
7.3 | odd | 6 | 252.4.bm.a.185.12 | yes | 48 | ||
9.2 | odd | 6 | 252.4.bm.a.173.12 | yes | 48 | ||
9.7 | even | 3 | 756.4.bm.a.89.17 | 48 | |||
21.17 | even | 6 | 756.4.bm.a.17.17 | 48 | |||
63.38 | even | 6 | inner | 252.4.w.a.101.20 | yes | 48 | |
63.52 | odd | 6 | 756.4.w.a.521.17 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.4.w.a.5.20 | ✓ | 48 | 1.1 | even | 1 | trivial | |
252.4.w.a.101.20 | yes | 48 | 63.38 | even | 6 | inner | |
252.4.bm.a.173.12 | yes | 48 | 9.2 | odd | 6 | ||
252.4.bm.a.185.12 | yes | 48 | 7.3 | odd | 6 | ||
756.4.w.a.341.17 | 48 | 3.2 | odd | 2 | |||
756.4.w.a.521.17 | 48 | 63.52 | odd | 6 | |||
756.4.bm.a.17.17 | 48 | 21.17 | even | 6 | |||
756.4.bm.a.89.17 | 48 | 9.7 | even | 3 |