Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,4,Mod(11,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.k (of order \(4\), 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: | \(2.83209168028\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 48.11 |
Dual form | 48.4.k.a.35.5 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.44754 | + | 1.41758i | −0.865337 | + | 0.501191i | ||||
\(3\) | 0.563550 | − | 5.16550i | 0.108455 | − | 0.994101i | ||||
\(4\) | 3.98092 | − | 6.93918i | 0.497615 | − | 0.867398i | ||||
\(5\) | −13.1633 | + | 13.1633i | −1.17736 | + | 1.17736i | −0.196943 | + | 0.980415i | \(0.563101\pi\) |
−0.980415 | + | 0.196943i | \(0.936899\pi\) | |||||||
\(6\) | 5.94321 | + | 13.4417i | 0.404384 | + | 0.914589i | ||||
\(7\) | −13.2717 | −0.716606 | −0.358303 | − | 0.933605i | \(-0.616645\pi\) | ||||
−0.358303 | + | 0.933605i | \(0.616645\pi\) | |||||||
\(8\) | 0.0933841 | + | 22.6272i | 0.00412703 | + | 0.999991i | ||||
\(9\) | −26.3648 | − | 5.82204i | −0.976475 | − | 0.215631i | ||||
\(10\) | 13.5576 | − | 50.8776i | 0.428730 | − | 1.60889i | ||||
\(11\) | −24.0957 | − | 24.0957i | −0.660465 | − | 0.660465i | 0.295024 | − | 0.955490i | \(-0.404672\pi\) |
−0.955490 | + | 0.295024i | \(0.904672\pi\) | |||||||
\(12\) | −33.6009 | − | 24.4740i | −0.808312 | − | 0.588754i | ||||
\(13\) | −30.7791 | + | 30.7791i | −0.656661 | + | 0.656661i | −0.954589 | − | 0.297927i | \(-0.903705\pi\) |
0.297927 | + | 0.954589i | \(0.403705\pi\) | |||||||
\(14\) | 32.4831 | − | 18.8138i | 0.620106 | − | 0.359157i | ||||
\(15\) | 60.5767 | + | 75.4130i | 1.04272 | + | 1.29810i | ||||
\(16\) | −32.3045 | − | 55.2487i | −0.504758 | − | 0.863261i | ||||
\(17\) | − | 56.8818i | − | 0.811522i | −0.913979 | − | 0.405761i | \(-0.867007\pi\) | ||
0.913979 | − | 0.405761i | \(-0.132993\pi\) | |||||||
\(18\) | 72.7822 | − | 23.1246i | 0.953052 | − | 0.302807i | ||||
\(19\) | 74.2316 | + | 74.2316i | 0.896311 | + | 0.896311i | 0.995108 | − | 0.0987969i | \(-0.0314994\pi\) |
−0.0987969 | + | 0.995108i | \(0.531499\pi\) | |||||||
\(20\) | 38.9403 | + | 143.744i | 0.435366 | + | 1.60711i | ||||
\(21\) | −7.47929 | + | 68.5552i | −0.0777197 | + | 0.712379i | ||||
\(22\) | 93.1328 | + | 24.8176i | 0.902544 | + | 0.240506i | ||||
\(23\) | 21.7929i | 0.197571i | 0.995109 | + | 0.0987856i | \(0.0314958\pi\) | ||||
−0.995109 | + | 0.0987856i | \(0.968504\pi\) | |||||||
\(24\) | 116.934 | + | 12.2692i | 0.994540 | + | 0.104352i | ||||
\(25\) | − | 221.543i | − | 1.77234i | ||||||
\(26\) | 31.7013 | − | 118.965i | 0.239120 | − | 0.897346i | ||||
\(27\) | −44.9316 | + | 132.907i | −0.320263 | + | 0.947329i | ||||
\(28\) | −52.8338 | + | 92.0950i | −0.356594 | + | 0.621583i | ||||
\(29\) | −102.661 | − | 102.661i | −0.657369 | − | 0.657369i | 0.297388 | − | 0.954757i | \(-0.403884\pi\) |
−0.954757 | + | 0.297388i | \(0.903884\pi\) | |||||||
\(30\) | −255.168 | − | 98.7041i | −1.55290 | − | 0.600694i | ||||
\(31\) | − | 219.823i | − | 1.27359i | −0.771033 | − | 0.636795i | \(-0.780260\pi\) | ||
0.771033 | − | 0.636795i | \(-0.219740\pi\) | |||||||
\(32\) | 157.386 | + | 89.4292i | 0.869444 | + | 0.494031i | ||||
\(33\) | −138.045 | + | 110.887i | −0.728201 | + | 0.584939i | ||||
\(34\) | 80.6347 | + | 139.221i | 0.406727 | + | 0.702240i | ||||
\(35\) | 174.699 | − | 174.699i | 0.843702 | − | 0.843702i | ||||
\(36\) | −145.357 | + | 159.773i | −0.672947 | + | 0.739691i | ||||
\(37\) | 83.3409 | + | 83.3409i | 0.370302 | + | 0.370302i | 0.867587 | − | 0.497285i | \(-0.165670\pi\) |
−0.497285 | + | 0.867587i | \(0.665670\pi\) | |||||||
\(38\) | −286.914 | − | 76.4556i | −1.22483 | − | 0.326388i | ||||
\(39\) | 141.644 | + | 176.335i | 0.581569 | + | 0.724006i | ||||
\(40\) | −299.077 | − | 296.619i | −1.18221 | − | 1.17249i | ||||
\(41\) | 7.92823 | 0.0301995 | 0.0150998 | − | 0.999886i | \(-0.495193\pi\) | ||||
0.0150998 | + | 0.999886i | \(0.495193\pi\) | |||||||
\(42\) | −78.8767 | − | 178.394i | −0.289784 | − | 0.655400i | ||||
\(43\) | −153.514 | + | 153.514i | −0.544435 | + | 0.544435i | −0.924826 | − | 0.380391i | \(-0.875790\pi\) |
0.380391 | + | 0.924826i | \(0.375790\pi\) | |||||||
\(44\) | −263.127 | + | 71.2813i | −0.901544 | + | 0.244229i | ||||
\(45\) | 423.684 | − | 270.410i | 1.40354 | − | 0.895786i | ||||
\(46\) | −30.8932 | − | 53.3391i | −0.0990209 | − | 0.170966i | ||||
\(47\) | 208.337 | 0.646575 | 0.323287 | − | 0.946301i | \(-0.395212\pi\) | ||||
0.323287 | + | 0.946301i | \(0.395212\pi\) | |||||||
\(48\) | −303.592 | + | 135.734i | −0.912912 | + | 0.408155i | ||||
\(49\) | −166.861 | −0.486475 | ||||||||
\(50\) | 314.055 | + | 542.236i | 0.888282 | + | 1.53367i | ||||
\(51\) | −293.823 | − | 32.0558i | −0.806735 | − | 0.0880138i | ||||
\(52\) | 91.0527 | + | 336.111i | 0.242822 | + | 0.896351i | ||||
\(53\) | −390.157 | + | 390.157i | −1.01117 | + | 1.01117i | −0.0112374 | + | 0.999937i | \(0.503577\pi\) |
−0.999937 | + | 0.0112374i | \(0.996423\pi\) | |||||||
\(54\) | −78.4338 | − | 388.989i | −0.197657 | − | 0.980271i | ||||
\(55\) | 634.355 | 1.55521 | ||||||||
\(56\) | −1.23937 | − | 300.303i | −0.00295746 | − | 0.716600i | ||||
\(57\) | 425.277 | − | 341.610i | 0.988233 | − | 0.793814i | ||||
\(58\) | 396.798 | + | 105.737i | 0.898312 | + | 0.239378i | ||||
\(59\) | −221.945 | − | 221.945i | −0.489741 | − | 0.489741i | 0.418483 | − | 0.908225i | \(-0.362562\pi\) |
−0.908225 | + | 0.418483i | \(0.862562\pi\) | |||||||
\(60\) | 764.456 | − | 120.139i | 1.64485 | − | 0.258499i | ||||
\(61\) | −416.398 | + | 416.398i | −0.874005 | + | 0.874005i | −0.992906 | − | 0.118901i | \(-0.962063\pi\) |
0.118901 | + | 0.992906i | \(0.462063\pi\) | |||||||
\(62\) | 311.617 | + | 538.025i | 0.638312 | + | 1.10208i | ||||
\(63\) | 349.907 | + | 77.2685i | 0.699748 | + | 0.154523i | ||||
\(64\) | −511.983 | + | 4.22604i | −0.999966 | + | 0.00825399i | ||||
\(65\) | − | 810.308i | − | 1.54625i | ||||||
\(66\) | 180.680 | − | 467.092i | 0.336973 | − | 0.871136i | ||||
\(67\) | −284.375 | − | 284.375i | −0.518537 | − | 0.518537i | 0.398592 | − | 0.917129i | \(-0.369499\pi\) |
−0.917129 | + | 0.398592i | \(0.869499\pi\) | |||||||
\(68\) | −394.713 | − | 226.442i | −0.703912 | − | 0.403826i | ||||
\(69\) | 112.571 | + | 12.2814i | 0.196406 | + | 0.0214276i | ||||
\(70\) | −179.933 | + | 675.234i | −0.307231 | + | 1.15294i | ||||
\(71\) | − | 26.9657i | − | 0.0450738i | −0.999746 | − | 0.0225369i | \(-0.992826\pi\) | ||
0.999746 | − | 0.0225369i | \(-0.00717433\pi\) | |||||||
\(72\) | 129.274 | − | 597.106i | 0.211599 | − | 0.977357i | ||||
\(73\) | 839.440i | 1.34588i | 0.739698 | + | 0.672939i | \(0.234968\pi\) | ||||
−0.739698 | + | 0.672939i | \(0.765032\pi\) | |||||||
\(74\) | −322.123 | − | 85.8378i | −0.506027 | − | 0.134844i | ||||
\(75\) | −1144.38 | − | 124.850i | −1.76189 | − | 0.192220i | ||||
\(76\) | 810.617 | − | 219.596i | 1.22348 | − | 0.331440i | ||||
\(77\) | 319.791 | + | 319.791i | 0.473294 | + | 0.473294i | ||||
\(78\) | −596.650 | − | 230.796i | −0.866119 | − | 0.335032i | ||||
\(79\) | − | 557.000i | − | 0.793258i | −0.917979 | − | 0.396629i | \(-0.870180\pi\) | ||
0.917979 | − | 0.396629i | \(-0.129820\pi\) | |||||||
\(80\) | 1152.49 | + | 302.020i | 1.61065 | + | 0.422086i | ||||
\(81\) | 661.208 | + | 306.994i | 0.907007 | + | 0.421117i | ||||
\(82\) | −19.4047 | + | 11.2389i | −0.0261328 | + | 0.0151357i | ||||
\(83\) | −400.085 | + | 400.085i | −0.529097 | + | 0.529097i | −0.920303 | − | 0.391206i | \(-0.872058\pi\) |
0.391206 | + | 0.920303i | \(0.372058\pi\) | |||||||
\(84\) | 445.942 | + | 324.813i | 0.579242 | + | 0.421905i | ||||
\(85\) | 748.750 | + | 748.750i | 0.955452 | + | 0.955452i | ||||
\(86\) | 158.114 | − | 593.352i | 0.198254 | − | 0.743986i | ||||
\(87\) | −588.151 | + | 472.441i | −0.724786 | + | 0.582196i | ||||
\(88\) | 542.968 | − | 547.468i | 0.657734 | − | 0.663186i | ||||
\(89\) | 974.352 | 1.16046 | 0.580231 | − | 0.814452i | \(-0.302962\pi\) | ||||
0.580231 | + | 0.814452i | \(0.302962\pi\) | |||||||
\(90\) | −653.656 | + | 1262.45i | −0.765571 | + | 1.47860i | ||||
\(91\) | 408.492 | − | 408.492i | 0.470568 | − | 0.470568i | ||||
\(92\) | 151.225 | + | 86.7559i | 0.171373 | + | 0.0983145i | ||||
\(93\) | −1135.49 | − | 123.881i | −1.26608 | − | 0.138128i | ||||
\(94\) | −509.913 | + | 295.334i | −0.559505 | + | 0.324058i | ||||
\(95\) | −1954.26 | −2.11056 | ||||||||
\(96\) | 550.642 | − | 762.581i | 0.585413 | − | 0.810735i | ||||
\(97\) | −1555.38 | −1.62809 | −0.814046 | − | 0.580800i | \(-0.802740\pi\) | ||||
−0.814046 | + | 0.580800i | \(0.802740\pi\) | |||||||
\(98\) | 408.399 | − | 236.539i | 0.420965 | − | 0.243817i | ||||
\(99\) | 494.992 | + | 775.564i | 0.502511 | + | 0.787345i | ||||
\(100\) | −1537.33 | − | 881.945i | −1.53733 | − | 0.881945i | ||||
\(101\) | 387.041 | − | 387.041i | 0.381307 | − | 0.381307i | −0.490266 | − | 0.871573i | \(-0.663100\pi\) |
0.871573 | + | 0.490266i | \(0.163100\pi\) | |||||||
\(102\) | 764.586 | − | 338.061i | 0.742209 | − | 0.328167i | ||||
\(103\) | 109.160 | 0.104426 | 0.0522130 | − | 0.998636i | \(-0.483373\pi\) | ||||
0.0522130 | + | 0.998636i | \(0.483373\pi\) | |||||||
\(104\) | −699.321 | − | 693.572i | −0.659366 | − | 0.653946i | ||||
\(105\) | −803.958 | − | 1000.86i | −0.747221 | − | 0.930229i | ||||
\(106\) | 401.846 | − | 1508.01i | 0.368215 | − | 1.38180i | ||||
\(107\) | 542.909 | + | 542.909i | 0.490514 | + | 0.490514i | 0.908468 | − | 0.417954i | \(-0.137253\pi\) |
−0.417954 | + | 0.908468i | \(0.637253\pi\) | |||||||
\(108\) | 743.393 | + | 840.880i | 0.662343 | + | 0.749201i | ||||
\(109\) | 233.764 | − | 233.764i | 0.205417 | − | 0.205417i | −0.596899 | − | 0.802316i | \(-0.703601\pi\) |
0.802316 | + | 0.596899i | \(0.203601\pi\) | |||||||
\(110\) | −1552.61 | + | 899.251i | −1.34578 | + | 0.779456i | ||||
\(111\) | 477.464 | − | 383.531i | 0.408278 | − | 0.327956i | ||||
\(112\) | 428.737 | + | 733.246i | 0.361713 | + | 0.618618i | ||||
\(113\) | 158.058i | 0.131583i | 0.997833 | + | 0.0657914i | \(0.0209572\pi\) | ||||
−0.997833 | + | 0.0657914i | \(0.979043\pi\) | |||||||
\(114\) | −556.622 | + | 1438.97i | −0.457302 | + | 1.18221i | ||||
\(115\) | −286.866 | − | 286.866i | −0.232612 | − | 0.232612i | ||||
\(116\) | −1121.07 | + | 303.698i | −0.897317 | + | 0.243083i | ||||
\(117\) | 990.684 | − | 632.289i | 0.782810 | − | 0.499617i | ||||
\(118\) | 857.844 | + | 228.594i | 0.669245 | + | 0.178337i | ||||
\(119\) | 754.921i | 0.581542i | ||||||||
\(120\) | −1700.73 | + | 1377.72i | −1.29379 | + | 1.04807i | ||||
\(121\) | − | 169.797i | − | 0.127571i | ||||||
\(122\) | 428.874 | − | 1609.43i | 0.318265 | − | 1.19435i | ||||
\(123\) | 4.46795 | − | 40.9533i | 0.00327530 | − | 0.0300214i | ||||
\(124\) | −1525.39 | − | 875.097i | −1.10471 | − | 0.633758i | ||||
\(125\) | 1270.82 | + | 1270.82i | 0.909324 | + | 0.909324i | ||||
\(126\) | −965.946 | + | 306.904i | −0.682963 | + | 0.216993i | ||||
\(127\) | − | 6.82092i | − | 0.00476582i | −0.999997 | − | 0.00238291i | \(-0.999241\pi\) | ||
0.999997 | − | 0.00238291i | \(-0.000758504\pi\) | |||||||
\(128\) | 1247.11 | − | 736.121i | 0.861170 | − | 0.508316i | ||||
\(129\) | 706.466 | + | 879.492i | 0.482177 | + | 0.600271i | ||||
\(130\) | 1148.68 | + | 1983.26i | 0.774967 | + | 1.33803i | ||||
\(131\) | 1494.05 | − | 1494.05i | 0.996454 | − | 0.996454i | −0.00353941 | − | 0.999994i | \(-0.501127\pi\) |
0.999994 | + | 0.00353941i | \(0.00112663\pi\) | |||||||
\(132\) | 219.918 | + | 1399.36i | 0.145011 | + | 0.922714i | ||||
\(133\) | −985.182 | − | 985.182i | −0.642302 | − | 0.642302i | ||||
\(134\) | 1099.15 | + | 292.895i | 0.708595 | + | 0.188823i | ||||
\(135\) | −1158.04 | − | 2340.93i | −0.738281 | − | 1.49241i | ||||
\(136\) | 1287.08 | − | 5.31186i | 0.811515 | − | 0.00334918i | ||||
\(137\) | −966.981 | −0.603027 | −0.301514 | − | 0.953462i | \(-0.597492\pi\) | ||||
−0.301514 | + | 0.953462i | \(0.597492\pi\) | |||||||
\(138\) | −292.933 | + | 129.520i | −0.180696 | + | 0.0798947i | ||||
\(139\) | 1555.13 | − | 1555.13i | 0.948955 | − | 0.948955i | −0.0498036 | − | 0.998759i | \(-0.515860\pi\) |
0.998759 | + | 0.0498036i | \(0.0158595\pi\) | |||||||
\(140\) | −516.806 | − | 1907.73i | −0.311986 | − | 1.15166i | ||||
\(141\) | 117.408 | − | 1076.16i | 0.0701244 | − | 0.642761i | ||||
\(142\) | 38.2261 | + | 65.9997i | 0.0225906 | + | 0.0390040i | ||||
\(143\) | 1483.29 | 0.867404 | ||||||||
\(144\) | 530.043 | + | 1644.70i | 0.306738 | + | 0.951794i | ||||
\(145\) | 2702.71 | 1.54792 | ||||||||
\(146\) | −1189.98 | − | 2054.57i | −0.674542 | − | 1.16464i | ||||
\(147\) | −94.0345 | + | 861.921i | −0.0527608 | + | 0.483606i | ||||
\(148\) | 910.091 | − | 246.544i | 0.505466 | − | 0.136931i | ||||
\(149\) | −2186.31 | + | 2186.31i | −1.20207 | + | 1.20207i | −0.228540 | + | 0.973534i | \(0.573395\pi\) |
−0.973534 | + | 0.228540i | \(0.926605\pi\) | |||||||
\(150\) | 2977.90 | − | 1316.68i | 1.62097 | − | 0.716708i | ||||
\(151\) | −530.420 | −0.285861 | −0.142930 | − | 0.989733i | \(-0.545653\pi\) | ||||
−0.142930 | + | 0.989733i | \(0.545653\pi\) | |||||||
\(152\) | −1672.72 | + | 1686.59i | −0.892604 | + | 0.900002i | ||||
\(153\) | −331.168 | + | 1499.68i | −0.174989 | + | 0.792431i | ||||
\(154\) | −1236.03 | − | 329.372i | −0.646769 | − | 0.172348i | ||||
\(155\) | 2893.58 | + | 2893.58i | 1.49947 | + | 1.49947i | ||||
\(156\) | 1787.50 | − | 280.917i | 0.917399 | − | 0.144175i | ||||
\(157\) | 131.535 | − | 131.535i | 0.0668637 | − | 0.0668637i | −0.672884 | − | 0.739748i | \(-0.734945\pi\) |
0.739748 | + | 0.672884i | \(0.234945\pi\) | |||||||
\(158\) | 789.593 | + | 1363.28i | 0.397574 | + | 0.686435i | ||||
\(159\) | 1795.49 | + | 2235.23i | 0.895543 | + | 1.11488i | ||||
\(160\) | −3248.90 | + | 894.535i | −1.60530 | + | 0.441995i | ||||
\(161\) | − | 289.230i | − | 0.141581i | ||||||
\(162\) | −2053.52 | + | 185.936i | −0.995926 | + | 0.0901758i | ||||
\(163\) | 215.002 | + | 215.002i | 0.103314 | + | 0.103314i | 0.756875 | − | 0.653560i | \(-0.226725\pi\) |
−0.653560 | + | 0.756875i | \(0.726725\pi\) | |||||||
\(164\) | 31.5617 | − | 55.0154i | 0.0150278 | − | 0.0261950i | ||||
\(165\) | 357.491 | − | 3276.76i | 0.168670 | − | 1.54603i | ||||
\(166\) | 412.072 | − | 1546.38i | 0.192669 | − | 0.723026i | ||||
\(167\) | − | 1360.80i | − | 0.630548i | −0.949001 | − | 0.315274i | \(-0.897903\pi\) | ||
0.949001 | − | 0.315274i | \(-0.102097\pi\) | |||||||
\(168\) | −1551.91 | − | 162.834i | −0.712694 | − | 0.0747790i | ||||
\(169\) | 302.290i | 0.137592i | ||||||||
\(170\) | −2894.01 | − | 771.183i | −1.30565 | − | 0.347924i | ||||
\(171\) | −1524.92 | − | 2389.28i | −0.681953 | − | 1.06850i | ||||
\(172\) | 454.135 | + | 1676.39i | 0.201323 | + | 0.743161i | ||||
\(173\) | −1069.50 | − | 1069.50i | −0.470014 | − | 0.470014i | 0.431905 | − | 0.901919i | \(-0.357842\pi\) |
−0.901919 | + | 0.431905i | \(0.857842\pi\) | |||||||
\(174\) | 769.799 | − | 1990.07i | 0.335393 | − | 0.867052i | ||||
\(175\) | 2940.26i | 1.27007i | ||||||||
\(176\) | −552.856 | + | 2109.65i | −0.236779 | + | 0.903529i | ||||
\(177\) | −1271.53 | + | 1021.38i | −0.539968 | + | 0.433738i | ||||
\(178\) | −2384.77 | + | 1381.22i | −1.00419 | + | 0.581613i | ||||
\(179\) | −315.583 | + | 315.583i | −0.131775 | + | 0.131775i | −0.769918 | − | 0.638143i | \(-0.779703\pi\) |
0.638143 | + | 0.769918i | \(0.279703\pi\) | |||||||
\(180\) | −189.771 | − | 4016.50i | −0.0785817 | − | 1.66318i | ||||
\(181\) | −3368.56 | − | 3368.56i | −1.38333 | − | 1.38333i | −0.838629 | − | 0.544703i | \(-0.816642\pi\) |
−0.544703 | − | 0.838629i | \(-0.683358\pi\) | |||||||
\(182\) | −420.731 | + | 1578.87i | −0.171355 | + | 0.643044i | ||||
\(183\) | 1916.24 | + | 2385.57i | 0.774060 | + | 0.963640i | ||||
\(184\) | −493.113 | + | 2.03511i | −0.197570 | + | 0.000815383i | ||||
\(185\) | −2194.08 | −0.871955 | ||||||||
\(186\) | 2954.78 | − | 1306.45i | 1.16481 | − | 0.515020i | ||||
\(187\) | −1370.61 | + | 1370.61i | −0.535982 | + | 0.535982i | ||||
\(188\) | 829.372 | − | 1445.69i | 0.321746 | − | 0.560838i | ||||
\(189\) | 596.321 | − | 1763.90i | 0.229502 | − | 0.678862i | ||||
\(190\) | 4783.13 | − | 2770.32i | 1.82634 | − | 1.05779i | ||||
\(191\) | −4403.49 | −1.66820 | −0.834098 | − | 0.551616i | \(-0.814011\pi\) | ||||
−0.834098 | + | 0.551616i | \(0.814011\pi\) | |||||||
\(192\) | −266.698 | + | 2647.03i | −0.100246 | + | 0.994963i | ||||
\(193\) | 17.1480 | 0.00639554 | 0.00319777 | − | 0.999995i | \(-0.498982\pi\) | ||||
0.00319777 | + | 0.999995i | \(0.498982\pi\) | |||||||
\(194\) | 3806.86 | − | 2204.88i | 1.40885 | − | 0.815985i | ||||
\(195\) | −4185.65 | − | 456.649i | −1.53713 | − | 0.167699i | ||||
\(196\) | −664.261 | + | 1157.88i | −0.242078 | + | 0.421968i | ||||
\(197\) | 630.686 | − | 630.686i | 0.228094 | − | 0.228094i | −0.583802 | − | 0.811896i | \(-0.698436\pi\) |
0.811896 | + | 0.583802i | \(0.198436\pi\) | |||||||
\(198\) | −2310.94 | − | 1196.53i | −0.829451 | − | 0.429464i | ||||
\(199\) | −2149.16 | −0.765579 | −0.382789 | − | 0.923836i | \(-0.625036\pi\) | ||||
−0.382789 | + | 0.923836i | \(0.625036\pi\) | |||||||
\(200\) | 5012.90 | − | 20.6886i | 1.77233 | − | 0.00731452i | ||||
\(201\) | −1629.20 | + | 1308.68i | −0.571716 | + | 0.459240i | ||||
\(202\) | −398.637 | + | 1495.96i | −0.138851 | + | 0.521067i | ||||
\(203\) | 1362.49 | + | 1362.49i | 0.471074 | + | 0.471074i | ||||
\(204\) | −1392.13 | + | 1911.28i | −0.477787 | + | 0.655963i | ||||
\(205\) | −104.361 | + | 104.361i | −0.0355557 | + | 0.0355557i | ||||
\(206\) | −267.174 | + | 154.744i | −0.0903636 | + | 0.0523373i | ||||
\(207\) | 126.879 | − | 574.566i | 0.0426025 | − | 0.192923i | ||||
\(208\) | 2694.81 | + | 706.202i | 0.898325 | + | 0.235415i | ||||
\(209\) | − | 3577.32i | − | 1.18396i | ||||||
\(210\) | 3386.52 | + | 1309.97i | 1.11282 | + | 0.430461i | ||||
\(211\) | 3221.52 | + | 3221.52i | 1.05108 | + | 1.05108i | 0.998623 | + | 0.0524606i | \(0.0167064\pi\) |
0.0524606 | + | 0.998623i | \(0.483294\pi\) | |||||||
\(212\) | 1154.19 | + | 4260.56i | 0.373914 | + | 1.38027i | ||||
\(213\) | −139.291 | − | 15.1965i | −0.0448079 | − | 0.00488849i | ||||
\(214\) | −2098.41 | − | 559.174i | −0.670301 | − | 0.178619i | ||||
\(215\) | − | 4041.50i | − | 1.28199i | ||||||
\(216\) | −3011.50 | − | 1004.27i | −0.948642 | − | 0.316350i | ||||
\(217\) | 2917.43i | 0.912663i | ||||||||
\(218\) | −240.767 | + | 903.526i | −0.0748019 | + | 0.280709i | ||||
\(219\) | 4336.13 | + | 473.067i | 1.33794 | + | 0.145967i | ||||
\(220\) | 2525.32 | − | 4401.91i | 0.773896 | − | 1.34898i | ||||
\(221\) | 1750.77 | + | 1750.77i | 0.532895 | + | 0.532895i | ||||
\(222\) | −624.928 | + | 1615.55i | −0.188930 | + | 0.488418i | ||||
\(223\) | 131.078i | 0.0393615i | 0.999806 | + | 0.0196807i | \(0.00626498\pi\) | ||||
−0.999806 | + | 0.0196807i | \(0.993735\pi\) | |||||||
\(224\) | −2088.79 | − | 1186.88i | −0.623049 | − | 0.354026i | ||||
\(225\) | −1289.83 | + | 5840.94i | −0.382172 | + | 1.73065i | ||||
\(226\) | −224.060 | − | 386.854i | −0.0659481 | − | 0.113863i | ||||
\(227\) | 2803.34 | − | 2803.34i | 0.819666 | − | 0.819666i | −0.166394 | − | 0.986059i | \(-0.553212\pi\) |
0.986059 | + | 0.166394i | \(0.0532122\pi\) | |||||||
\(228\) | −677.502 | − | 4311.00i | −0.196793 | − | 1.25221i | ||||
\(229\) | 4610.81 | + | 4610.81i | 1.33053 | + | 1.33053i | 0.904897 | + | 0.425630i | \(0.139947\pi\) |
0.425630 | + | 0.904897i | \(0.360053\pi\) | |||||||
\(230\) | 1108.77 | + | 295.460i | 0.317871 | + | 0.0847047i | ||||
\(231\) | 1832.10 | − | 1471.66i | 0.521833 | − | 0.419171i | ||||
\(232\) | 2313.35 | − | 2332.52i | 0.654650 | − | 0.660076i | ||||
\(233\) | 555.570 | 0.156209 | 0.0781043 | − | 0.996945i | \(-0.475113\pi\) | ||||
0.0781043 | + | 0.996945i | \(0.475113\pi\) | |||||||
\(234\) | −1528.42 | + | 2951.93i | −0.426991 | + | 0.824674i | ||||
\(235\) | −2742.39 | + | 2742.39i | −0.761250 | + | 0.761250i | ||||
\(236\) | −2423.66 | + | 656.570i | −0.668504 | + | 0.181098i | ||||
\(237\) | −2877.18 | − | 313.897i | −0.788579 | − | 0.0860330i | ||||
\(238\) | −1070.16 | − | 1847.70i | −0.291463 | − | 0.503229i | ||||
\(239\) | −3068.21 | −0.830401 | −0.415201 | − | 0.909730i | \(-0.636289\pi\) | ||||
−0.415201 | + | 0.909730i | \(0.636289\pi\) | |||||||
\(240\) | 2209.57 | − | 5782.96i | 0.594280 | − | 1.55537i | ||||
\(241\) | 2482.51 | 0.663538 | 0.331769 | − | 0.943361i | \(-0.392355\pi\) | ||||
0.331769 | + | 0.943361i | \(0.392355\pi\) | |||||||
\(242\) | 240.701 | + | 415.585i | 0.0639373 | + | 0.110392i | ||||
\(243\) | 1958.40 | − | 3242.46i | 0.517002 | − | 0.855984i | ||||
\(244\) | 1231.81 | + | 4547.11i | 0.323192 | + | 1.19303i | ||||
\(245\) | 2196.44 | − | 2196.44i | 0.572756 | − | 0.572756i | ||||
\(246\) | 47.1191 | + | 106.569i | 0.0122122 | + | 0.0276202i | ||||
\(247\) | −4569.57 | −1.17714 | ||||||||
\(248\) | 4973.97 | − | 20.5279i | 1.27358 | − | 0.00525615i | ||||
\(249\) | 1841.17 | + | 2292.11i | 0.468593 | + | 0.583360i | ||||
\(250\) | −4911.87 | − | 1308.89i | −1.24262 | − | 0.331127i | ||||
\(251\) | −3369.93 | − | 3369.93i | −0.847443 | − | 0.847443i | 0.142370 | − | 0.989813i | \(-0.454528\pi\) |
−0.989813 | + | 0.142370i | \(0.954528\pi\) | |||||||
\(252\) | 1929.13 | − | 2120.47i | 0.482238 | − | 0.530067i | ||||
\(253\) | 525.115 | − | 525.115i | 0.130489 | − | 0.130489i | ||||
\(254\) | 9.66921 | + | 16.6945i | 0.00238858 | + | 0.00412404i | ||||
\(255\) | 4289.63 | − | 3445.71i | 1.05344 | − | 0.846192i | ||||
\(256\) | −2008.84 | + | 3569.56i | −0.490439 | + | 0.871476i | ||||
\(257\) | 1660.41i | 0.403010i | 0.979487 | + | 0.201505i | \(0.0645832\pi\) | ||||
−0.979487 | + | 0.201505i | \(0.935417\pi\) | |||||||
\(258\) | −2975.86 | − | 1151.12i | −0.718096 | − | 0.277774i | ||||
\(259\) | −1106.08 | − | 1106.08i | −0.265360 | − | 0.265360i | ||||
\(260\) | −5622.87 | − | 3225.77i | −1.34121 | − | 0.769438i | ||||
\(261\) | 2108.95 | + | 3304.34i | 0.500155 | + | 0.783653i | ||||
\(262\) | −1538.81 | + | 5774.68i | −0.362855 | + | 1.36168i | ||||
\(263\) | 3786.64i | 0.887811i | 0.896074 | + | 0.443906i | \(0.146407\pi\) | ||||
−0.896074 | + | 0.443906i | \(0.853593\pi\) | |||||||
\(264\) | −2521.96 | − | 3113.23i | −0.587939 | − | 0.725780i | ||||
\(265\) | − | 10271.5i | − | 2.38103i | ||||||
\(266\) | 3807.85 | + | 1014.70i | 0.877723 | + | 0.233892i | ||||
\(267\) | 549.096 | − | 5033.02i | 0.125858 | − | 1.15362i | ||||
\(268\) | −3105.41 | + | 841.256i | −0.707810 | + | 0.191746i | ||||
\(269\) | 150.137 | + | 150.137i | 0.0340298 | + | 0.0340298i | 0.723917 | − | 0.689887i | \(-0.242340\pi\) |
−0.689887 | + | 0.723917i | \(0.742340\pi\) | |||||||
\(270\) | 6152.80 | + | 4087.91i | 1.38684 | + | 0.921417i | ||||
\(271\) | − | 4680.39i | − | 1.04913i | −0.851371 | − | 0.524564i | \(-0.824228\pi\) | ||
0.851371 | − | 0.524564i | \(-0.175772\pi\) | |||||||
\(272\) | −3142.65 | + | 1837.54i | −0.700555 | + | 0.409622i | ||||
\(273\) | −1879.86 | − | 2340.27i | −0.416756 | − | 0.518827i | ||||
\(274\) | 2366.73 | − | 1370.77i | 0.521822 | − | 0.302232i | ||||
\(275\) | −5338.23 | + | 5338.23i | −1.17057 | + | 1.17057i | ||||
\(276\) | 533.361 | − | 732.262i | 0.116321 | − | 0.159699i | ||||
\(277\) | −3252.08 | − | 3252.08i | −0.705411 | − | 0.705411i | 0.260156 | − | 0.965567i | \(-0.416226\pi\) |
−0.965567 | + | 0.260156i | \(0.916226\pi\) | |||||||
\(278\) | −1601.73 | + | 6010.79i | −0.345558 | + | 1.29677i | ||||
\(279\) | −1279.82 | + | 5795.58i | −0.274626 | + | 1.24363i | ||||
\(280\) | 3969.27 | + | 3936.65i | 0.847177 | + | 0.840213i | ||||
\(281\) | 5915.11 | 1.25575 | 0.627875 | − | 0.778314i | \(-0.283925\pi\) | ||||
0.627875 | + | 0.778314i | \(0.283925\pi\) | |||||||
\(282\) | 1238.19 | + | 2800.39i | 0.261465 | + | 0.591351i | ||||
\(283\) | 4831.85 | − | 4831.85i | 1.01493 | − | 1.01493i | 0.0150381 | − | 0.999887i | \(-0.495213\pi\) |
0.999887 | − | 0.0150381i | \(-0.00478696\pi\) | |||||||
\(284\) | −187.120 | − | 107.348i | −0.0390969 | − | 0.0224294i | ||||
\(285\) | −1101.32 | + | 10094.7i | −0.228901 | + | 2.09811i | ||||
\(286\) | −3630.41 | + | 2102.68i | −0.750597 | + | 0.434735i | ||||
\(287\) | −105.221 | −0.0216412 | ||||||||
\(288\) | −3628.80 | − | 3274.09i | −0.742462 | − | 0.669888i | ||||
\(289\) | 1677.46 | 0.341432 | ||||||||
\(290\) | −6615.00 | + | 3831.31i | −1.33947 | + | 0.775801i | ||||
\(291\) | −876.535 | + | 8034.32i | −0.176575 | + | 1.61849i | ||||
\(292\) | 5825.03 | + | 3341.75i | 1.16741 | + | 0.669729i | ||||
\(293\) | −2284.81 | + | 2284.81i | −0.455563 | + | 0.455563i | −0.897196 | − | 0.441633i | \(-0.854399\pi\) |
0.441633 | + | 0.897196i | \(0.354399\pi\) | |||||||
\(294\) | −991.690 | − | 2242.89i | −0.196723 | − | 0.444925i | ||||
\(295\) | 5843.03 | 1.15320 | ||||||||
\(296\) | −1877.99 | + | 1893.56i | −0.368770 | + | 0.371827i | ||||
\(297\) | 4285.13 | − | 2119.81i | 0.837200 | − | 0.414155i | ||||
\(298\) | 2251.81 | − | 8450.34i | 0.437731 | − | 1.64267i | ||||
\(299\) | −670.767 | − | 670.767i | −0.129737 | − | 0.129737i | ||||
\(300\) | −5422.05 | + | 7444.04i | −1.04347 | + | 1.43261i | ||||
\(301\) | 2037.40 | − | 2037.40i | 0.390146 | − | 0.390146i | ||||
\(302\) | 1298.23 | − | 751.915i | 0.247366 | − | 0.143271i | ||||
\(303\) | −1781.15 | − | 2217.38i | −0.337703 | − | 0.420413i | ||||
\(304\) | 1703.18 | − | 6499.22i | 0.321330 | − | 1.22617i | ||||
\(305\) | − | 10962.3i | − | 2.05803i | ||||||
\(306\) | −1315.37 | − | 4139.99i | −0.245734 | − | 0.773422i | ||||
\(307\) | −6603.53 | − | 6603.53i | −1.22763 | − | 1.22763i | −0.964857 | − | 0.262777i | \(-0.915362\pi\) |
−0.262777 | − | 0.964857i | \(-0.584638\pi\) | |||||||
\(308\) | 3492.16 | − | 946.026i | 0.646052 | − | 0.175016i | ||||
\(309\) | 61.5172 | − | 563.867i | 0.0113255 | − | 0.103810i | ||||
\(310\) | −11184.1 | − | 2980.27i | −2.04907 | − | 0.546026i | ||||
\(311\) | − | 173.626i | − | 0.0316574i | −0.999875 | − | 0.0158287i | \(-0.994961\pi\) | ||
0.999875 | − | 0.0158287i | \(-0.00503864\pi\) | |||||||
\(312\) | −3976.75 | + | 3221.48i | −0.721600 | + | 0.584552i | ||||
\(313\) | 1738.22i | 0.313898i | 0.987607 | + | 0.156949i | \(0.0501658\pi\) | ||||
−0.987607 | + | 0.156949i | \(0.949834\pi\) | |||||||
\(314\) | −135.475 | + | 508.397i | −0.0243481 | + | 0.0913711i | ||||
\(315\) | −5623.02 | + | 3588.81i | −1.00578 | + | 0.641926i | ||||
\(316\) | −3865.12 | − | 2217.37i | −0.688070 | − | 0.394737i | ||||
\(317\) | 2486.10 | + | 2486.10i | 0.440484 | + | 0.440484i | 0.892175 | − | 0.451691i | \(-0.149179\pi\) |
−0.451691 | + | 0.892175i | \(0.649179\pi\) | |||||||
\(318\) | −7563.15 | − | 2925.58i | −1.33371 | − | 0.515906i | ||||
\(319\) | 4947.38i | 0.868338i | ||||||||
\(320\) | 6683.73 | − | 6794.99i | 1.16760 | − | 1.18704i | ||||
\(321\) | 3110.35 | − | 2498.44i | 0.540819 | − | 0.434422i | ||||
\(322\) | 410.007 | + | 707.902i | 0.0709590 | + | 0.122515i | ||||
\(323\) | 4222.43 | − | 4222.43i | 0.727376 | − | 0.727376i | ||||
\(324\) | 4762.50 | − | 3366.12i | 0.816616 | − | 0.577181i | ||||
\(325\) | 6818.90 | + | 6818.90i | 1.16383 | + | 1.16383i | ||||
\(326\) | −831.008 | − | 221.443i | −0.141182 | − | 0.0376215i | ||||
\(327\) | −1075.77 | − | 1339.24i | −0.181927 | − | 0.226484i | ||||
\(328\) | 0.740370 | + | 179.394i | 0.000124634 | + | 0.0301993i | ||||
\(329\) | −2764.99 | −0.463340 | ||||||||
\(330\) | 3770.11 | + | 8526.79i | 0.628902 | + | 1.42238i | ||||
\(331\) | −6593.02 | + | 6593.02i | −1.09482 | + | 1.09482i | −0.0998138 | + | 0.995006i | \(0.531825\pi\) |
−0.995006 | + | 0.0998138i | \(0.968175\pi\) | |||||||
\(332\) | 1183.56 | + | 4368.97i | 0.195651 | + | 0.722225i | ||||
\(333\) | −1712.05 | − | 2682.48i | −0.281742 | − | 0.441439i | ||||
\(334\) | 1929.04 | + | 3330.61i | 0.316025 | + | 0.545637i | ||||
\(335\) | 7486.61 | 1.22101 | ||||||||
\(336\) | 4029.20 | − | 1801.42i | 0.654199 | − | 0.292487i | ||||
\(337\) | −9437.22 | −1.52545 | −0.762727 | − | 0.646721i | \(-0.776140\pi\) | ||||
−0.762727 | + | 0.646721i | \(0.776140\pi\) | |||||||
\(338\) | −428.521 | − | 739.868i | −0.0689600 | − | 0.119064i | ||||
\(339\) | 816.449 | + | 89.0736i | 0.130807 | + | 0.0142708i | ||||
\(340\) | 8176.43 | − | 2215.00i | 1.30420 | − | 0.353309i | ||||
\(341\) | −5296.77 | + | 5296.77i | −0.841162 | + | 0.841162i | ||||
\(342\) | 7119.32 | + | 3686.16i | 1.12564 | + | 0.582822i | ||||
\(343\) | 6766.74 | 1.06522 | ||||||||
\(344\) | −3487.94 | − | 3459.27i | −0.546678 | − | 0.542184i | ||||
\(345\) | −1643.47 | + | 1320.14i | −0.256468 | + | 0.206012i | ||||
\(346\) | 4133.74 | + | 1101.54i | 0.642287 | + | 0.171154i | ||||
\(347\) | −4032.00 | − | 4032.00i | −0.623772 | − | 0.623772i | 0.322722 | − | 0.946494i | \(-0.395402\pi\) |
−0.946494 | + | 0.322722i | \(0.895402\pi\) | |||||||
\(348\) | 936.975 | + | 5962.04i | 0.144331 | + | 0.918387i | ||||
\(349\) | 2360.04 | − | 2360.04i | 0.361978 | − | 0.361978i | −0.502563 | − | 0.864541i | \(-0.667609\pi\) |
0.864541 | + | 0.502563i | \(0.167609\pi\) | |||||||
\(350\) | −4168.06 | − | 7196.41i | −0.636549 | − | 1.09904i | ||||
\(351\) | −2707.79 | − | 5473.70i | −0.411770 | − | 0.832378i | ||||
\(352\) | −1637.47 | − | 5947.18i | −0.247947 | − | 0.900528i | ||||
\(353\) | 10824.1i | 1.63203i | 0.578028 | + | 0.816017i | \(0.303822\pi\) | ||||
−0.578028 | + | 0.816017i | \(0.696178\pi\) | |||||||
\(354\) | 1664.24 | − | 4302.37i | 0.249869 | − | 0.645956i | ||||
\(355\) | 354.957 | + | 354.957i | 0.0530680 | + | 0.0530680i | ||||
\(356\) | 3878.82 | − | 6761.21i | 0.577464 | − | 1.00658i | ||||
\(357\) | 3899.54 | + | 425.435i | 0.578111 | + | 0.0630712i | ||||
\(358\) | 325.038 | − | 1219.77i | 0.0479854 | − | 0.180074i | ||||
\(359\) | 6848.83i | 1.00687i | 0.864032 | + | 0.503437i | \(0.167931\pi\) | ||||
−0.864032 | + | 0.503437i | \(0.832069\pi\) | |||||||
\(360\) | 6158.19 | + | 9561.54i | 0.901570 | + | 1.39983i | ||||
\(361\) | 4161.67i | 0.606746i | ||||||||
\(362\) | 13019.9 | + | 3469.48i | 1.89036 | + | 0.503735i | ||||
\(363\) | −877.085 | − | 95.6889i | −0.126818 | − | 0.0138357i | ||||
\(364\) | −1208.43 | − | 4460.78i | −0.174008 | − | 0.642331i | ||||
\(365\) | −11049.8 | − | 11049.8i | −1.58458 | − | 1.58458i | ||||
\(366\) | −8071.83 | − | 3122.34i | −1.15279 | − | 0.445922i | ||||
\(367\) | 3892.20i | 0.553600i | 0.960928 | + | 0.276800i | \(0.0892739\pi\) | ||||
−0.960928 | + | 0.276800i | \(0.910726\pi\) | |||||||
\(368\) | 1204.03 | − | 704.009i | 0.170556 | − | 0.0997256i | ||||
\(369\) | −209.026 | − | 46.1584i | −0.0294891 | − | 0.00651196i | ||||
\(370\) | 5370.09 | − | 3110.28i | 0.754535 | − | 0.437016i | ||||
\(371\) | 5178.07 | − | 5178.07i | 0.724614 | − | 0.724614i | ||||
\(372\) | −5379.95 | + | 7386.24i | −0.749831 | + | 1.02946i | ||||
\(373\) | 726.671 | + | 726.671i | 0.100873 | + | 0.100873i | 0.755742 | − | 0.654869i | \(-0.227276\pi\) |
−0.654869 | + | 0.755742i | \(0.727276\pi\) | |||||||
\(374\) | 1411.67 | − | 5297.56i | 0.195176 | − | 0.732434i | ||||
\(375\) | 7280.59 | − | 5848.25i | 1.00258 | − | 0.805339i | ||||
\(376\) | 19.4553 | + | 4714.08i | 0.00266844 | + | 0.646569i | ||||
\(377\) | 6319.64 | 0.863337 | ||||||||
\(378\) | 1040.95 | + | 5162.55i | 0.141642 | + | 0.702469i | ||||
\(379\) | −9599.40 | + | 9599.40i | −1.30102 | + | 1.30102i | −0.373323 | + | 0.927701i | \(0.621782\pi\) |
−0.927701 | + | 0.373323i | \(0.878218\pi\) | |||||||
\(380\) | −7779.76 | + | 13561.0i | −1.05025 | + | 1.83069i | ||||
\(381\) | −35.2335 | − | 3.84393i | −0.00473770 | − | 0.000516878i | ||||
\(382\) | 10777.7 | − | 6242.31i | 1.44355 | − | 0.836085i | ||||
\(383\) | 1980.73 | 0.264257 | 0.132129 | − | 0.991233i | \(-0.457819\pi\) | ||||
0.132129 | + | 0.991233i | \(0.457819\pi\) | |||||||
\(384\) | −3099.63 | − | 6856.78i | −0.411919 | − | 0.911220i | ||||
\(385\) | −8419.00 | −1.11447 | ||||||||
\(386\) | −41.9704 | + | 24.3087i | −0.00553429 | + | 0.00320538i | ||||
\(387\) | 4941.15 | − | 3153.61i | 0.649025 | − | 0.414230i | ||||
\(388\) | −6191.85 | + | 10793.1i | −0.810164 | + | 1.41220i | ||||
\(389\) | 1173.36 | − | 1173.36i | 0.152935 | − | 0.152935i | −0.626493 | − | 0.779427i | \(-0.715510\pi\) |
0.779427 | + | 0.626493i | \(0.215510\pi\) | |||||||
\(390\) | 10891.9 | − | 4815.83i | 1.41418 | − | 0.625279i | ||||
\(391\) | 1239.62 | 0.160333 | ||||||||
\(392\) | −15.5822 | − | 3775.60i | −0.00200770 | − | 0.486471i | ||||
\(393\) | −6875.53 | − | 8559.47i | −0.882506 | − | 1.09865i | ||||
\(394\) | −649.581 | + | 2437.68i | −0.0830595 | + | 0.311697i | ||||
\(395\) | 7331.93 | + | 7331.93i | 0.933948 | + | 0.933948i | ||||
\(396\) | 7352.31 | − | 347.381i | 0.932998 | − | 0.0440822i | ||||
\(397\) | 4110.76 | − | 4110.76i | 0.519681 | − | 0.519681i | −0.397794 | − | 0.917475i | \(-0.630224\pi\) |
0.917475 | + | 0.397794i | \(0.130224\pi\) | |||||||
\(398\) | 5260.17 | − | 3046.61i | 0.662483 | − | 0.383701i | ||||
\(399\) | −5644.16 | + | 4533.76i | −0.708174 | + | 0.568852i | ||||
\(400\) | −12240.0 | + | 7156.83i | −1.52999 | + | 0.894604i | ||||
\(401\) | 4583.73i | 0.570824i | 0.958405 | + | 0.285412i | \(0.0921305\pi\) | ||||
−0.958405 | + | 0.285412i | \(0.907870\pi\) | |||||||
\(402\) | 2132.37 | − | 5512.58i | 0.264560 | − | 0.683937i | ||||
\(403\) | 6765.95 | + | 6765.95i | 0.836317 | + | 0.836317i | ||||
\(404\) | −1144.97 | − | 4226.53i | −0.141001 | − | 0.520489i | ||||
\(405\) | −12744.7 | + | 4662.61i | −1.56368 | + | 0.572066i | ||||
\(406\) | −5266.20 | − | 1403.31i | −0.643736 | − | 0.171540i | ||||
\(407\) | − | 4016.31i | − | 0.489143i | ||||||
\(408\) | 697.894 | − | 6651.40i | 0.0846836 | − | 0.807091i | ||||
\(409\) | − | 1993.36i | − | 0.240991i | −0.992714 | − | 0.120495i | \(-0.961552\pi\) | ||
0.992714 | − | 0.120495i | \(-0.0384483\pi\) | |||||||
\(410\) | 107.488 | − | 403.369i | 0.0129474 | − | 0.0485878i | ||||
\(411\) | −544.942 | + | 4994.94i | −0.0654015 | + | 0.599470i | ||||
\(412\) | 434.558 | − | 757.483i | 0.0519640 | − | 0.0905789i | ||||
\(413\) | 2945.59 | + | 2945.59i | 0.350952 | + | 0.350952i | ||||
\(414\) | 503.953 | + | 1586.14i | 0.0598259 | + | 0.188296i | ||||
\(415\) | − | 10532.9i | − | 1.24587i | ||||||
\(416\) | −7596.76 | + | 2091.66i | −0.895341 | + | 0.246519i | ||||
\(417\) | −7156.66 | − | 8909.45i | −0.840439 | − | 1.04628i | ||||
\(418\) | 5071.15 | + | 8755.65i | 0.593392 | + | 1.02453i | ||||
\(419\) | −11865.9 | + | 11865.9i | −1.38350 | + | 1.38350i | −0.545172 | + | 0.838324i | \(0.683536\pi\) |
−0.838324 | + | 0.545172i | \(0.816464\pi\) | |||||||
\(420\) | −10145.7 | + | 1594.46i | −1.17871 | + | 0.185242i | ||||
\(421\) | −6803.31 | − | 6803.31i | −0.787584 | − | 0.787584i | 0.193513 | − | 0.981098i | \(-0.438012\pi\) |
−0.981098 | + | 0.193513i | \(0.938012\pi\) | |||||||
\(422\) | −12451.6 | − | 3318.04i | −1.43633 | − | 0.382748i | ||||
\(423\) | −5492.76 | − | 1212.94i | −0.631364 | − | 0.139422i | ||||
\(424\) | −8864.61 | − | 8791.74i | −1.01534 | − | 1.00699i | ||||
\(425\) | −12601.8 | −1.43830 | ||||||||
\(426\) | 362.464 | − | 160.263i | 0.0412240 | − | 0.0182271i | ||||
\(427\) | 5526.33 | − | 5526.33i | 0.626318 | − | 0.626318i | ||||
\(428\) | 5928.62 | − | 1606.07i | 0.669558 | − | 0.181383i | ||||
\(429\) | 835.907 | − | 7661.93i | 0.0940745 | − | 0.862288i | ||||
\(430\) | 5729.16 | + | 9891.74i | 0.642522 | + | 1.10935i | ||||
\(431\) | 9052.23 | 1.01167 | 0.505836 | − | 0.862630i | \(-0.331184\pi\) | ||||
0.505836 | + | 0.862630i | \(0.331184\pi\) | |||||||
\(432\) | 8794.41 | − | 1811.07i | 0.979447 | − | 0.201701i | ||||
\(433\) | 16081.2 | 1.78479 | 0.892395 | − | 0.451255i | \(-0.149023\pi\) | ||||
0.892395 | + | 0.451255i | \(0.149023\pi\) | |||||||
\(434\) | −4135.69 | − | 7140.52i | −0.457418 | − | 0.789761i | ||||
\(435\) | 1523.11 | − | 13960.9i | 0.167880 | − | 1.53879i | ||||
\(436\) | −691.534 | − | 2552.72i | −0.0759598 | − | 0.280398i | ||||
\(437\) | −1617.72 | + | 1617.72i | −0.177085 | + | 0.177085i | ||||
\(438\) | −11283.5 | + | 4988.97i | −1.23093 | + | 0.544252i | ||||
\(439\) | −2902.39 | −0.315543 | −0.157771 | − | 0.987476i | \(-0.550431\pi\) | ||||
−0.157771 | + | 0.987476i | \(0.550431\pi\) | |||||||
\(440\) | 59.2387 | + | 14353.7i | 0.00641840 | + | 1.55520i | ||||
\(441\) | 4399.26 | + | 971.471i | 0.475031 | + | 0.104899i | ||||
\(442\) | −6766.96 | − | 1803.23i | −0.728216 | − | 0.194051i | ||||
\(443\) | −9852.62 | − | 9852.62i | −1.05669 | − | 1.05669i | −0.998294 | − | 0.0583928i | \(-0.981402\pi\) |
−0.0583928 | − | 0.998294i | \(-0.518598\pi\) | |||||||
\(444\) | −760.641 | − | 4840.02i | −0.0813028 | − | 0.517336i | ||||
\(445\) | −12825.6 | + | 12825.6i | −1.36628 | + | 1.36628i | ||||
\(446\) | −185.813 | − | 320.818i | −0.0197276 | − | 0.0340609i | ||||
\(447\) | 10061.3 | + | 12525.5i | 1.06461 | + | 1.32536i | ||||
\(448\) | 6794.90 | − | 56.0869i | 0.716582 | − | 0.00591486i | ||||
\(449\) | 8127.08i | 0.854210i | 0.904202 | + | 0.427105i | \(0.140467\pi\) | ||||
−0.904202 | + | 0.427105i | \(0.859533\pi\) | |||||||
\(450\) | −5123.09 | − | 16124.4i | −0.536678 | − | 1.68914i | ||||
\(451\) | −191.036 | − | 191.036i | −0.0199458 | − | 0.0199458i | ||||
\(452\) | 1096.79 | + | 629.217i | 0.114135 | + | 0.0654776i | ||||
\(453\) | −298.918 | + | 2739.89i | −0.0310031 | + | 0.284175i | ||||
\(454\) | −2887.33 | + | 10835.3i | −0.298478 | + | 1.12010i | ||||
\(455\) | 10754.2i | 1.10805i | ||||||||
\(456\) | 7769.41 | + | 9590.93i | 0.797886 | + | 0.984949i | ||||
\(457\) | − | 6183.95i | − | 0.632982i | −0.948596 | − | 0.316491i | \(-0.897495\pi\) | ||
0.948596 | − | 0.316491i | \(-0.102505\pi\) | |||||||
\(458\) | −17821.3 | − | 4748.95i | −1.81820 | − | 0.484506i | ||||
\(459\) | 7559.97 | + | 2555.79i | 0.768778 | + | 0.259900i | ||||
\(460\) | −3132.61 | + | 848.624i | −0.317518 | + | 0.0860158i | ||||
\(461\) | 11493.6 | + | 11493.6i | 1.16119 | + | 1.16119i | 0.984215 | + | 0.176979i | \(0.0566326\pi\) |
0.176979 | + | 0.984215i | \(0.443367\pi\) | |||||||
\(462\) | −2397.94 | + | 6199.12i | −0.241477 | + | 0.624262i | ||||
\(463\) | 6524.21i | 0.654872i | 0.944873 | + | 0.327436i | \(0.106185\pi\) | ||||
−0.944873 | + | 0.327436i | \(0.893815\pi\) | |||||||
\(464\) | −2355.48 | + | 8988.31i | −0.235669 | + | 0.899293i | ||||
\(465\) | 16577.5 | − | 13316.1i | 1.65325 | − | 1.32800i | ||||
\(466\) | −1359.78 | + | 787.566i | −0.135173 | + | 0.0782904i | ||||
\(467\) | −1512.73 | + | 1512.73i | −0.149895 | + | 0.149895i | −0.778071 | − | 0.628176i | \(-0.783802\pi\) |
0.628176 | + | 0.778071i | \(0.283802\pi\) | |||||||
\(468\) | −443.735 | − | 9391.63i | −0.0438283 | − | 0.927624i | ||||
\(469\) | 3774.15 | + | 3774.15i | 0.371587 | + | 0.371587i | ||||
\(470\) | 2824.55 | − | 10599.7i | 0.277206 | − | 1.04027i | ||||
\(471\) | −605.316 | − | 753.568i | −0.0592176 | − | 0.0737210i | ||||
\(472\) | 5001.27 | − | 5042.72i | 0.487716 | − | 0.491758i | ||||
\(473\) | 7398.07 | 0.719162 | ||||||||
\(474\) | 7487.00 | − | 3310.37i | 0.725505 | − | 0.320781i | ||||
\(475\) | 16445.5 | − | 16445.5i | 1.58857 | − | 1.58857i | ||||
\(476\) | 5238.53 | + | 3005.28i | 0.504428 | + | 0.289384i | ||||
\(477\) | 12557.9 | − | 8014.92i | 1.20543 | − | 0.769346i | ||||
\(478\) | 7509.57 | − | 4349.44i | 0.718577 | − | 0.416190i | ||||
\(479\) | 7262.60 | 0.692769 | 0.346385 | − | 0.938093i | \(-0.387409\pi\) | ||||
0.346385 | + | 0.938093i | \(0.387409\pi\) | |||||||
\(480\) | 2789.81 | + | 17286.3i | 0.265285 | + | 1.64377i | ||||
\(481\) | −5130.32 | −0.486325 | ||||||||
\(482\) | −6076.05 | + | 3519.16i | −0.574183 | + | 0.332559i | ||||
\(483\) | −1494.02 | − | 162.995i | −0.140746 | − | 0.0153552i | ||||
\(484\) | −1178.25 | − | 675.948i | −0.110655 | − | 0.0634812i | ||||
\(485\) | 20473.9 | − | 20473.9i | 1.91685 | − | 1.91685i | ||||
\(486\) | −196.812 | + | 10712.3i | −0.0183695 | + | 0.999831i | ||||
\(487\) | −5716.55 | −0.531913 | −0.265957 | − | 0.963985i | \(-0.585688\pi\) | ||||
−0.265957 | + | 0.963985i | \(0.585688\pi\) | |||||||
\(488\) | −9460.82 | − | 9383.05i | −0.877605 | − | 0.870391i | ||||
\(489\) | 1231.76 | − | 989.427i | 0.113910 | − | 0.0914999i | ||||
\(490\) | −2262.24 | + | 8489.50i | −0.208567 | + | 0.782686i | ||||
\(491\) | 3886.38 | + | 3886.38i | 0.357209 | + | 0.357209i | 0.862783 | − | 0.505574i | \(-0.168719\pi\) |
−0.505574 | + | 0.862783i | \(0.668719\pi\) | |||||||
\(492\) | −266.396 | − | 194.036i | −0.0244107 | − | 0.0177801i | ||||
\(493\) | −5839.55 | + | 5839.55i | −0.533469 | + | 0.533469i | ||||
\(494\) | 11184.2 | − | 6477.74i | 1.01863 | − | 0.589974i | ||||
\(495\) | −16724.7 | − | 3693.24i | −1.51862 | − | 0.335351i | ||||
\(496\) | −12144.9 | + | 7101.26i | −1.09944 | + | 0.642855i | ||||
\(497\) | 357.882i | 0.0323002i | ||||||||
\(498\) | −7755.60 | − | 3000.02i | −0.697865 | − | 0.269948i | ||||
\(499\) | 2623.92 | + | 2623.92i | 0.235396 | + | 0.235396i | 0.814941 | − | 0.579544i | \(-0.196769\pi\) |
−0.579544 | + | 0.814941i | \(0.696769\pi\) | |||||||
\(500\) | 13877.5 | − | 3759.41i | 1.24124 | − | 0.336252i | ||||
\(501\) | −7029.20 | − | 766.877i | −0.626829 | − | 0.0683863i | ||||
\(502\) | 13025.2 | + | 3470.89i | 1.15805 | + | 0.308593i | ||||
\(503\) | − | 8844.21i | − | 0.783983i | −0.919969 | − | 0.391992i | \(-0.871786\pi\) | ||
0.919969 | − | 0.391992i | \(-0.128214\pi\) | |||||||
\(504\) | −1715.70 | + | 7924.64i | −0.151633 | + | 0.700380i | ||||
\(505\) | 10189.4i | 0.897870i | ||||||||
\(506\) | −540.848 | + | 2029.64i | −0.0475170 | + | 0.178317i | ||||
\(507\) | 1561.48 | + | 170.356i | 0.136781 | + | 0.0149226i | ||||
\(508\) | −47.3316 | − | 27.1536i | −0.00413386 | − | 0.00237154i | ||||
\(509\) | −6445.60 | − | 6445.60i | −0.561289 | − | 0.561289i | 0.368385 | − | 0.929673i | \(-0.379911\pi\) |
−0.929673 | + | 0.368385i | \(0.879911\pi\) | |||||||
\(510\) | −5614.47 | + | 14514.4i | −0.487476 | + | 1.26022i | ||||
\(511\) | − | 11140.8i | − | 0.964464i | ||||||
\(512\) | −143.435 | − | 11584.3i | −0.0123808 | − | 0.999923i | ||||
\(513\) | −13201.2 | + | 6530.52i | −1.13616 | + | 0.562046i | ||||
\(514\) | −2353.77 | − | 4063.92i | −0.201985 | − | 0.348739i | ||||
\(515\) | −1436.90 | + | 1436.90i | −0.122947 | + | 0.122947i | ||||
\(516\) | 8915.34 | − | 1401.11i | 0.760612 | − | 0.119535i | ||||
\(517\) | −5020.01 | − | 5020.01i | −0.427040 | − | 0.427040i | ||||
\(518\) | 4275.13 | + | 1139.22i | 0.362622 | + | 0.0966299i | ||||
\(519\) | −6127.21 | + | 4921.78i | −0.518217 | + | 0.416266i | ||||
\(520\) | 18335.0 | − | 75.6698i | 1.54624 | − | 0.00638143i | ||||
\(521\) | −3935.63 | −0.330946 | −0.165473 | − | 0.986214i | \(-0.552915\pi\) | ||||
−0.165473 | + | 0.986214i | \(0.552915\pi\) | |||||||
\(522\) | −9845.90 | − | 5097.90i | −0.825562 | − | 0.427451i | ||||
\(523\) | 7725.31 | − | 7725.31i | 0.645897 | − | 0.645897i | −0.306102 | − | 0.951999i | \(-0.599025\pi\) |
0.951999 | + | 0.306102i | \(0.0990248\pi\) | |||||||
\(524\) | −4419.78 | − | 16315.2i | −0.368471 | − | 1.36017i | ||||
\(525\) | 15187.9 | + | 1656.98i | 1.26258 | + | 0.137746i | ||||
\(526\) | −5367.88 | − | 9267.97i | −0.444963 | − | 0.768256i | ||||
\(527\) | −12503.9 | −1.03355 | ||||||||
\(528\) | 10585.9 | + | 4044.67i | 0.872520 | + | 0.333375i | ||||
\(529\) | 11692.1 | 0.960966 | ||||||||
\(530\) | 14560.7 | + | 25139.9i | 1.19335 | + | 2.06039i | ||||
\(531\) | 4559.36 | + | 7143.70i | 0.372617 | + | 0.583824i | ||||
\(532\) | −10758.3 | + | 2914.43i | −0.876751 | + | 0.237512i | ||||
\(533\) | −244.024 | + | 244.024i | −0.0198309 | + | 0.0198309i | ||||
\(534\) | 5790.78 | + | 13096.9i | 0.469272 | + | 1.06135i | ||||
\(535\) | −14292.9 | −1.15502 | ||||||||
\(536\) | 6408.07 | − | 6461.18i | 0.516393 | − | 0.520673i | ||||
\(537\) | 1452.30 | + | 1807.99i | 0.116706 | + | 0.145290i | ||||
\(538\) | −580.298 | − | 154.635i | −0.0465027 | − | 0.0123918i | ||||
\(539\) | 4020.63 | + | 4020.63i | 0.321300 | + | 0.321300i | ||||
\(540\) | −20854.2 | − | 1283.24i | −1.66189 | − | 0.102262i | ||||
\(541\) | −11787.8 | + | 11787.8i | −0.936779 | + | 0.936779i | −0.998117 | − | 0.0613379i | \(-0.980463\pi\) |
0.0613379 | + | 0.998117i | \(0.480463\pi\) | |||||||
\(542\) | 6634.84 | + | 11455.5i | 0.525813 | + | 0.907848i | ||||
\(543\) | −19298.7 | + | 15502.0i | −1.52520 | + | 1.22514i | ||||
\(544\) | 5086.90 | − | 8952.42i | 0.400917 | − | 0.705573i | ||||
\(545\) | 6154.19i | 0.483700i | ||||||||
\(546\) | 7918.57 | + | 3063.06i | 0.620666 | + | 0.240086i | ||||
\(547\) | 2125.15 | + | 2125.15i | 0.166115 | + | 0.166115i | 0.785269 | − | 0.619154i | \(-0.212524\pi\) |
−0.619154 | + | 0.785269i | \(0.712524\pi\) | |||||||
\(548\) | −3849.48 | + | 6710.05i | −0.300076 | + | 0.523064i | ||||
\(549\) | 13402.6 | − | 8553.98i | 1.04191 | − | 0.664982i | ||||
\(550\) | 5498.16 | − | 20632.9i | 0.426259 | − | 1.59962i | ||||
\(551\) | − | 15241.4i | − | 1.17841i | ||||||
\(552\) | −267.382 | + | 2548.32i | −0.0206169 | + | 0.196493i | ||||
\(553\) | 7392.35i | 0.568454i | ||||||||
\(554\) | 12569.7 | + | 3349.52i | 0.963964 | + | 0.256872i | ||||
\(555\) | −1236.47 | + | 11333.5i | −0.0945681 | + | 0.866811i | ||||
\(556\) | −4600.49 | − | 16982.2i | −0.350907 | − | 1.29534i | ||||
\(557\) | −16766.5 | − | 16766.5i | −1.27544 | − | 1.27544i | −0.943194 | − | 0.332244i | \(-0.892194\pi\) |
−0.332244 | − | 0.943194i | \(-0.607806\pi\) | |||||||
\(558\) | −5083.31 | − | 15999.2i | −0.385652 | − | 1.21380i | ||||
\(559\) | − | 9450.08i | − | 0.715019i | ||||||
\(560\) | −15295.5 | − | 4008.33i | −1.15420 | − | 0.302470i | ||||
\(561\) | 6307.46 | + | 7852.27i | 0.474690 | + | 0.590951i | ||||
\(562\) | −14477.5 | + | 8385.15i | −1.08665 | + | 0.629371i | ||||
\(563\) | 146.888 | − | 146.888i | 0.0109957 | − | 0.0109957i | −0.701588 | − | 0.712583i | \(-0.747525\pi\) |
0.712583 | + | 0.701588i | \(0.247525\pi\) | |||||||
\(564\) | −7000.30 | − | 5098.84i | −0.522635 | − | 0.380674i | ||||
\(565\) | −2080.56 | − | 2080.56i | −0.154920 | − | 0.154920i | ||||
\(566\) | −4976.61 | + | 18675.7i | −0.369581 | + | 1.38692i | ||||
\(567\) | −8775.37 | − | 4074.34i | −0.649967 | − | 0.301775i | ||||
\(568\) | 610.159 | − | 2.51817i | 0.0450734 | − | 0.000186021i | ||||
\(569\) | −8315.12 | −0.612632 | −0.306316 | − | 0.951930i | \(-0.599096\pi\) | ||||
−0.306316 | + | 0.951930i | \(0.599096\pi\) | |||||||
\(570\) | −11614.6 | − | 26268.5i | −0.853476 | − | 1.93029i | ||||
\(571\) | −923.361 | + | 923.361i | −0.0676733 | + | 0.0676733i | −0.740133 | − | 0.672460i | \(-0.765238\pi\) |
0.672460 | + | 0.740133i | \(0.265238\pi\) | |||||||
\(572\) | 5904.86 | − | 10292.8i | 0.431634 | − | 0.752384i | ||||
\(573\) | −2481.59 | + | 22746.2i | −0.180925 | + | 1.65836i | ||||
\(574\) | 257.534 | − | 149.160i | 0.0187269 | − | 0.0108464i | ||||
\(575\) | 4828.07 | 0.350164 | ||||||||
\(576\) | 13522.9 | + | 2869.36i | 0.978221 | + | 0.207564i | ||||
\(577\) | −6240.12 | −0.450225 | −0.225112 | − | 0.974333i | \(-0.572275\pi\) | ||||
−0.225112 | + | 0.974333i | \(0.572275\pi\) | |||||||
\(578\) | −4105.65 | + | 2377.93i | −0.295454 | + | 0.171123i | ||||
\(579\) | 9.66374 | − | 88.5779i | 0.000693629 | − | 0.00635781i | ||||
\(580\) | 10759.3 | − | 18754.6i | 0.770267 | − | 1.34266i | ||||
\(581\) | 5309.83 | − | 5309.83i | 0.379154 | − | 0.379154i | ||||
\(582\) | −9243.95 | − | 20906.9i | −0.658375 | − | 1.48904i | ||||
\(583\) | 18802.2 | 1.33569 | ||||||||
\(584\) | −18994.2 | + | 78.3904i | −1.34587 | + | 0.00555448i | ||||
\(585\) | −4717.64 | + | 21363.6i | −0.333420 | + | 1.50987i | ||||
\(586\) | 2353.26 | − | 8831.07i | 0.165891 | − | 0.622540i | ||||
\(587\) | −13765.9 | − | 13765.9i | −0.967940 | − | 0.967940i | 0.0315623 | − | 0.999502i | \(-0.489952\pi\) |
−0.999502 | + | 0.0315623i | \(0.989952\pi\) | |||||||
\(588\) | 5606.68 | + | 4083.76i | 0.393224 | + | 0.286414i | ||||
\(589\) | 16317.8 | − | 16317.8i | 1.14153 | − | 1.14153i | ||||
\(590\) | −14301.1 | + | 8282.98i | −0.997908 | + | 0.577974i | ||||
\(591\) | −2902.39 | − | 3613.23i | −0.202011 | − | 0.251486i | ||||
\(592\) | 1912.19 | − | 7296.76i | 0.132754 | − | 0.506579i | ||||
\(593\) | 19423.3i | 1.34506i | 0.740070 | + | 0.672529i | \(0.234792\pi\) | ||||
−0.740070 | + | 0.672529i | \(0.765208\pi\) | |||||||
\(594\) | −7483.03 | + | 11262.9i | −0.516889 | + | 0.777981i | ||||
\(595\) | −9937.22 | − | 9937.22i | −0.684683 | − | 0.684683i | ||||
\(596\) | 6467.66 | + | 23874.7i | 0.444506 | + | 1.64085i | ||||
\(597\) | −1211.16 | + | 11101.5i | −0.0830310 | + | 0.761063i | ||||
\(598\) | 2592.60 | + | 690.863i | 0.177290 | + | 0.0472433i | ||||
\(599\) | − | 3592.25i | − | 0.245034i | −0.992466 | − | 0.122517i | \(-0.960903\pi\) | ||
0.992466 | − | 0.122517i | \(-0.0390966\pi\) | |||||||
\(600\) | 2718.15 | − | 25905.8i | 0.184947 | − | 1.76267i | ||||
\(601\) | 18367.9i | 1.24666i | 0.781959 | + | 0.623330i | \(0.214221\pi\) | ||||
−0.781959 | + | 0.623330i | \(0.785779\pi\) | |||||||
\(602\) | −2098.44 | + | 7874.81i | −0.142070 | + | 0.533145i | ||||
\(603\) | 5841.86 | + | 9153.15i | 0.394526 | + | 0.618151i | ||||
\(604\) | −2111.56 | + | 3680.68i | −0.142249 | + | 0.247955i | ||||
\(605\) | 2235.08 | + | 2235.08i | 0.150196 | + | 0.150196i | ||||
\(606\) | 7502.74 | + | 2902.21i | 0.502934 | + | 0.194545i | ||||
\(607\) | − | 3812.82i | − | 0.254955i | −0.991841 | − | 0.127477i | \(-0.959312\pi\) | ||
0.991841 | − | 0.127477i | \(-0.0406880\pi\) | |||||||
\(608\) | 5044.56 | + | 18321.5i | 0.336486 | + | 1.22210i | ||||
\(609\) | 7805.78 | − | 6270.12i | 0.519386 | − | 0.417205i | ||||
\(610\) | 15540.0 | + | 26830.7i | 1.03147 | + | 1.78089i | ||||
\(611\) | −6412.42 | + | 6412.42i | −0.424581 | + | 0.424581i | ||||
\(612\) | 9088.19 | + | 8268.14i | 0.600275 | + | 0.546111i | ||||
\(613\) | 2161.57 | + | 2161.57i | 0.142422 | + | 0.142422i | 0.774723 | − | 0.632301i | \(-0.217889\pi\) |
−0.632301 | + | 0.774723i | \(0.717889\pi\) | |||||||
\(614\) | 25523.5 | + | 6801.37i | 1.67759 | + | 0.447038i | ||||
\(615\) | 480.266 | + | 597.891i | 0.0314897 | + | 0.0392021i | ||||
\(616\) | −7206.13 | + | 7265.86i | −0.471336 | + | 0.475243i | ||||
\(617\) | −14720.8 | −0.960514 | −0.480257 | − | 0.877128i | \(-0.659457\pi\) | ||||
−0.480257 | + | 0.877128i | \(0.659457\pi\) | |||||||
\(618\) | 648.762 | + | 1467.29i | 0.0422282 | + | 0.0955069i | ||||
\(619\) | 717.009 | − | 717.009i | 0.0465574 | − | 0.0465574i | −0.683445 | − | 0.730002i | \(-0.739519\pi\) |
0.730002 | + | 0.683445i | \(0.239519\pi\) | |||||||
\(620\) | 31598.2 | − | 8559.97i | 2.04680 | − | 0.554478i | ||||
\(621\) | −2896.42 | − | 979.192i | −0.187165 | − | 0.0632747i | ||||
\(622\) | 246.130 | + | 424.958i | 0.0158664 | + | 0.0273943i | ||||
\(623\) | −12931.3 | −0.831594 | ||||||||
\(624\) | 5166.55 | − | 13522.1i | 0.331454 | − | 0.867494i | ||||
\(625\) | −5763.39 | −0.368857 | ||||||||
\(626\) | −2464.07 | − | 4254.36i | −0.157323 | − | 0.271627i | ||||
\(627\) | −18478.7 | − | 2016.00i | −1.17698 | − | 0.128407i | ||||
\(628\) | −389.113 | − | 1436.37i | −0.0247250 | − | 0.0912698i | ||||
\(629\) | 4740.58 | − | 4740.58i | 0.300508 | − | 0.300508i | ||||
\(630\) | 8675.15 | − | 16754.9i | 0.548613 | − | 1.05957i | ||||
\(631\) | −12334.5 | −0.778177 | −0.389089 | − | 0.921200i | \(-0.627210\pi\) | ||||
−0.389089 | + | 0.921200i | \(0.627210\pi\) | |||||||
\(632\) | 12603.4 | − | 52.0149i | 0.793251 | − | 0.00327380i | ||||
\(633\) | 18456.3 | − | 14825.3i | 1.15888 | − | 0.930888i | ||||
\(634\) | −9609.09 | − | 2560.59i | −0.601933 | − | 0.160400i | ||||
\(635\) | 89.7855 | + | 89.7855i | 0.00561107 | + | 0.00561107i | ||||
\(636\) | 22658.4 | − | 3560.92i | 1.41268 | − | 0.222012i | ||||
\(637\) | 5135.84 | − | 5135.84i | 0.319450 | − | 0.319450i | ||||
\(638\) | −7013.31 | − | 12108.9i | −0.435203 | − | 0.751405i | ||||
\(639\) | −156.995 | + | 710.946i | −0.00971931 | + | 0.0440134i | ||||
\(640\) | −6726.26 | + | 26105.8i | −0.415436 | + | 1.61238i | ||||
\(641\) | − | 8618.93i | − | 0.531088i | −0.964099 | − | 0.265544i | \(-0.914448\pi\) | ||
0.964099 | − | 0.265544i | \(-0.0855515\pi\) | |||||||
\(642\) | −4070.97 | + | 10524.2i | −0.250263 | + | 0.646975i | ||||
\(643\) | −13452.6 | − | 13452.6i | −0.825069 | − | 0.825069i | 0.161761 | − | 0.986830i | \(-0.448283\pi\) |
−0.986830 | + | 0.161761i | \(0.948283\pi\) | |||||||
\(644\) | −2007.02 | − | 1151.40i | −0.122807 | − | 0.0704528i | ||||
\(645\) | −20876.4 | − | 2277.59i | −1.27443 | − | 0.139039i | ||||
\(646\) | −4348.94 | + | 16320.2i | −0.264871 | + | 0.993979i | ||||
\(647\) | − | 1049.63i | − | 0.0637792i | −0.999491 | − | 0.0318896i | \(-0.989848\pi\) | ||
0.999491 | − | 0.0318896i | \(-0.0101525\pi\) | |||||||
\(648\) | −6884.67 | + | 14990.0i | −0.417370 | + | 0.908737i | ||||
\(649\) | 10695.8i | 0.646915i | ||||||||
\(650\) | −26355.9 | − | 7023.19i | −1.59040 | − | 0.423803i | ||||
\(651\) | 15070.0 | + | 1644.12i | 0.907279 | + | 0.0989831i | ||||
\(652\) | 2347.84 | − | 636.031i | 0.141025 | − | 0.0382038i | ||||
\(653\) | −1524.78 | − | 1524.78i | −0.0913773 | − | 0.0913773i | 0.659941 | − | 0.751318i | \(-0.270581\pi\) |
−0.751318 | + | 0.659941i | \(0.770581\pi\) | |||||||
\(654\) | 4531.48 | + | 1752.87i | 0.270940 | + | 0.104805i | ||||
\(655\) | 39333.1i | 2.34637i | ||||||||
\(656\) | −256.117 | − | 438.024i | −0.0152435 | − | 0.0260701i | ||||
\(657\) | 4887.25 | − | 22131.7i | 0.290213 | − | 1.31422i | ||||
\(658\) | 6767.43 | − | 3919.60i | 0.400945 | − | 0.232222i | ||||
\(659\) | 4377.44 | − | 4377.44i | 0.258757 | − | 0.258757i | −0.565791 | − | 0.824548i | \(-0.691429\pi\) |
0.824548 | + | 0.565791i | \(0.191429\pi\) | |||||||
\(660\) | −21314.9 | − | 15525.2i | −1.25709 | − | 0.915635i | ||||
\(661\) | −15078.1 | − | 15078.1i | −0.887249 | − | 0.887249i | 0.107009 | − | 0.994258i | \(-0.465873\pi\) |
−0.994258 | + | 0.107009i | \(0.965873\pi\) | |||||||
\(662\) | 6790.55 | − | 25482.9i | 0.398674 | − | 1.49610i | ||||
\(663\) | 10030.3 | − | 8056.98i | 0.587547 | − | 0.471956i | ||||
\(664\) | −9090.18 | − | 9015.46i | −0.531276 | − | 0.526909i | ||||
\(665\) | 25936.4 | 1.51244 | ||||||||
\(666\) | 7992.96 | + | 4138.51i | 0.465046 | + | 0.240787i | ||||
\(667\) | 2237.29 | − | 2237.29i | 0.129877 | − | 0.129877i | ||||
\(668\) | −9442.82 | − | 5417.23i | −0.546936 | − | 0.313771i | ||||
\(669\) | 677.082 | + | 73.8688i | 0.0391293 | + | 0.00426896i | ||||
\(670\) | −18323.8 | + | 10612.9i | −1.05658 | + | 0.611958i | ||||
\(671\) | 20066.8 | 1.15450 | ||||||||
\(672\) | −7307.97 | + | 10120.8i | −0.419511 | + | 0.580978i | ||||
\(673\) | −7399.64 | −0.423826 | −0.211913 | − | 0.977288i | \(-0.567969\pi\) | ||||
−0.211913 | + | 0.977288i | \(0.567969\pi\) | |||||||
\(674\) | 23098.0 | − | 13378.0i | 1.32003 | − | 0.764544i | ||||
\(675\) | 29444.5 | + | 9954.28i | 1.67899 | + | 0.567616i | ||||
\(676\) | 2097.65 | + | 1203.39i | 0.119347 | + | 0.0684680i | ||||
\(677\) | 9744.54 | − | 9744.54i | 0.553195 | − | 0.553195i | −0.374166 | − | 0.927362i | \(-0.622071\pi\) |
0.927362 | + | 0.374166i | \(0.122071\pi\) | |||||||
\(678\) | −2124.56 | + | 939.372i | −0.120344 | + | 0.0532100i | ||||
\(679\) | 20642.6 | 1.16670 | ||||||||
\(680\) | −16872.2 | + | 17012.1i | −0.951500 | + | 0.959387i | ||||
\(681\) | −12900.8 | − | 16060.5i | −0.725934 | − | 0.903728i | ||||
\(682\) | 5455.46 | − | 20472.7i | 0.306306 | − | 1.14947i | ||||
\(683\) | −10398.5 | − | 10398.5i | −0.582560 | − | 0.582560i | 0.353046 | − | 0.935606i | \(-0.385146\pi\) |
−0.935606 | + | 0.353046i | \(0.885146\pi\) | |||||||
\(684\) | −22650.3 | + | 1070.18i | −1.26616 | + | 0.0598235i | ||||
\(685\) | 12728.6 | − | 12728.6i | 0.709979 | − | 0.709979i | ||||
\(686\) | −16561.9 | + | 9592.41i | −0.921772 | + | 0.533877i | ||||
\(687\) | 26415.6 | − | 21218.7i | 1.46698 | − | 1.17838i | ||||
\(688\) | 13440.7 | + | 3522.26i | 0.744798 | + | 0.195182i | ||||
\(689\) | − | 24017.4i | − | 1.32800i | ||||||
\(690\) | 2151.05 | − | 5560.86i | 0.118680 | − | 0.306809i | ||||
\(691\) | 20999.5 | + | 20999.5i | 1.15609 | + | 1.15609i | 0.985309 | + | 0.170779i | \(0.0546285\pi\) |
0.170779 | + | 0.985309i | \(0.445371\pi\) | |||||||
\(692\) | −11679.0 | + | 3163.85i | −0.641575 | + | 0.173803i | ||||
\(693\) | −6569.41 | − | 10293.1i | −0.360103 | − | 0.564216i | ||||
\(694\) | 15584.2 | + | 4152.79i | 0.852402 | + | 0.227144i | ||||
\(695\) | 40941.3i | 2.23452i | ||||||||
\(696\) | −10745.0 | − | 13264.1i | −0.585182 | − | 0.722377i | ||||
\(697\) | − | 450.972i | − | 0.0245076i | ||||||
\(698\) | −2430.75 | + | 9121.86i | −0.131813 | + | 0.494653i | ||||
\(699\) | 313.092 | − | 2869.80i | 0.0169416 | − | 0.155287i | ||||
\(700\) | 20403.0 | + | 11704.9i | 1.10166 | + | 0.632007i | ||||
\(701\) | 5471.04 | + | 5471.04i | 0.294777 | + | 0.294777i | 0.838964 | − | 0.544187i | \(-0.183162\pi\) |
−0.544187 | + | 0.838964i | \(0.683162\pi\) | |||||||
\(702\) | 14386.9 | + | 9558.61i | 0.773500 | + | 0.513912i | ||||
\(703\) | 12373.1i | 0.663810i | ||||||||
\(704\) | 12438.4 | + | 12234.7i | 0.665894 | + | 0.654991i | ||||
\(705\) | 12620.3 | + | 15711.3i | 0.674198 | + | 0.839321i | ||||
\(706\) | −15344.0 | − | 26492.4i | −0.817960 | − | 1.41226i | ||||
\(707\) | −5136.71 | + | 5136.71i | −0.273247 | + | 0.273247i | ||||
\(708\) | 2025.66 | + | 12889.4i | 0.107527 | + | 0.684201i | ||||
\(709\) | 12117.6 | + | 12117.6i | 0.641872 | + | 0.641872i | 0.951015 | − | 0.309144i | \(-0.100042\pi\) |
−0.309144 | + | 0.951015i | \(0.600042\pi\) | |||||||
\(710\) | −1371.95 | − | 365.591i | −0.0725189 | − | 0.0193245i | ||||
\(711\) | −3242.87 | + | 14685.2i | −0.171051 | + | 0.774596i | ||||
\(712\) | 90.9890 | + | 22046.9i | 0.00478926 | + | 1.16045i | ||||
\(713\) | 4790.58 | 0.251625 | ||||||||
\(714\) | −10147.4 | + | 4486.65i | −0.531872 | + | 0.235166i | ||||
\(715\) | −19524.9 | + | 19524.9i | −1.02124 | + | 1.02124i | ||||
\(716\) | 933.575 | + | 3446.20i | 0.0487281 | + | 0.179875i | ||||
\(717\) | −1729.09 | + | 15848.8i | −0.0900614 | + | 0.825503i | ||||
\(718\) | −9708.78 | − | 16762.8i | −0.504636 | − | 0.871285i | ||||
\(719\) | 9829.79 | 0.509860 | 0.254930 | − | 0.966960i | \(-0.417948\pi\) | ||||
0.254930 | + | 0.966960i | \(0.417948\pi\) | |||||||
\(720\) | −28626.7 | − | 14672.5i | −1.48174 | − | 0.759462i | ||||
\(721\) | −1448.75 | −0.0748323 | ||||||||
\(722\) | −5899.51 | − | 10185.9i | −0.304095 | − | 0.525039i | ||||
\(723\) | 1399.02 | − | 12823.4i | 0.0719641 | − | 0.659624i | ||||
\(724\) | −36785.0 | + | 9965.08i | −1.88827 | + | 0.511532i | ||||
\(725\) | −22743.8 | + | 22743.8i | −1.16508 | + | 1.16508i | ||||
\(726\) | 2282.35 | − | 1009.14i | 0.116675 | − | 0.0515876i | ||||
\(727\) | 16104.0 | 0.821544 | 0.410772 | − | 0.911738i | \(-0.365259\pi\) | ||||
0.410772 | + | 0.911738i | \(0.365259\pi\) | |||||||
\(728\) | 9281.20 | + | 9204.90i | 0.472506 | + | 0.468621i | ||||
\(729\) | −15645.3 | − | 11943.4i | −0.794863 | − | 0.606788i | ||||
\(730\) | 42708.7 | + | 11380.8i | 2.16537 | + | 0.577018i | ||||
\(731\) | 8732.18 | + | 8732.18i | 0.441821 | + | 0.441821i | ||||
\(732\) | 24182.3 | − | 3800.41i | 1.22104 | − | 0.191895i | ||||
\(733\) | −7100.49 | + | 7100.49i | −0.357794 | + | 0.357794i | −0.862999 | − | 0.505205i | \(-0.831417\pi\) |
0.505205 | + | 0.862999i | \(0.331417\pi\) | |||||||
\(734\) | −5517.51 | − | 9526.32i | −0.277459 | − | 0.479050i | ||||
\(735\) | −10107.9 | − | 12583.5i | −0.507259 | − | 0.631495i | ||||
\(736\) | −1948.92 | + | 3429.90i | −0.0976064 | + | 0.171777i | ||||
\(737\) | 13704.4i | 0.684952i | ||||||||
\(738\) | 577.034 | − | 183.337i | 0.0287817 | − | 0.00914463i | ||||
\(739\) | −22439.6 | − | 22439.6i | −1.11699 | − | 1.11699i | −0.992181 | − | 0.124809i | \(-0.960168\pi\) |
−0.124809 | − | 0.992181i | \(-0.539832\pi\) | |||||||
\(740\) | −8734.45 | + | 15225.1i | −0.433898 | + | 0.756332i | ||||
\(741\) | −2575.18 | + | 23604.1i | −0.127668 | + | 1.17020i | ||||
\(742\) | −5333.20 | + | 20013.9i | −0.263865 | + | 0.990205i | ||||
\(743\) | − | 35681.0i | − | 1.76179i | −0.473315 | − | 0.880893i | \(-0.656943\pi\) | ||
0.473315 | − | 0.880893i | \(-0.343057\pi\) | |||||||
\(744\) | 2697.05 | − | 25704.6i | 0.132901 | − | 1.26664i | ||||
\(745\) | − | 57557.8i | − | 2.83054i | ||||||
\(746\) | −2808.67 | − | 748.442i | −0.137846 | − | 0.0367324i | ||||
\(747\) | 12877.5 | − | 8218.87i | 0.630740 | − | 0.402560i | ||||
\(748\) | 4054.61 | + | 14967.2i | 0.198197 | + | 0.731623i | ||||
\(749\) | −7205.34 | − | 7205.34i | −0.351505 | − | 0.351505i | ||||
\(750\) | −9529.18 | + | 24634.7i | −0.463942 | + | 1.19937i | ||||
\(751\) | − | 18143.3i | − | 0.881570i | −0.897613 | − | 0.440785i | \(-0.854700\pi\) | ||
0.897613 | − | 0.440785i | \(-0.145300\pi\) | |||||||
\(752\) | −6730.21 | − | 11510.3i | −0.326364 | − | 0.558163i | ||||
\(753\) | −19306.5 | + | 15508.3i | −0.934354 | + | 0.750535i | ||||
\(754\) | −15467.6 | + | 8958.61i | −0.747077 | + | 0.432697i | ||||
\(755\) | 6982.06 | − | 6982.06i | 0.336561 | − | 0.336561i | ||||
\(756\) | −9866.12 | − | 11159.9i | −0.474639 | − | 0.536882i | ||||
\(757\) | 15294.6 | + | 15294.6i | 0.734333 | + | 0.734333i | 0.971475 | − | 0.237142i | \(-0.0762107\pi\) |
−0.237142 | + | 0.971475i | \(0.576211\pi\) | |||||||
\(758\) | 9887.00 | − | 37102.9i | 0.473763 | − | 1.77789i | ||||
\(759\) | −2416.55 | − | 3008.41i | −0.115567 | − | 0.143871i | ||||
\(760\) | −182.497 | − | 44219.5i | −0.00871034 | − | 2.11054i | ||||
\(761\) | −8250.67 | −0.393018 | −0.196509 | − | 0.980502i | \(-0.562960\pi\) | ||||
−0.196509 | + | 0.980502i | \(0.562960\pi\) | |||||||
\(762\) | 91.6845 | − | 40.5382i | 0.00435876 | − | 0.00192722i | ||||
\(763\) | −3102.45 | + | 3102.45i | −0.147203 | + | 0.147203i | ||||
\(764\) | −17530.0 | + | 30556.6i | −0.830120 | + | 1.44699i | ||||
\(765\) | −15381.4 | − | 24099.9i | −0.726950 | − | 1.13900i | ||||
\(766\) | −4847.91 | + | 2807.84i | −0.228671 | + | 0.132443i | ||||
\(767\) | 13662.5 | 0.643188 | ||||||||
\(768\) | 17306.5 | + | 12388.3i | 0.813144 | + | 0.582062i | ||||
\(769\) | 13914.2 | 0.652480 | 0.326240 | − | 0.945287i | \(-0.394218\pi\) | ||||
0.326240 | + | 0.945287i | \(0.394218\pi\) | |||||||
\(770\) | 20605.8 | − | 11934.6i | 0.964394 | − | 0.558563i | ||||
\(771\) | 8576.85 | + | 935.724i | 0.400633 | + | 0.0437085i | ||||
\(772\) | 68.2648 | − | 118.993i | 0.00318252 | − | 0.00554747i | ||||
\(773\) | −22064.4 | + | 22064.4i | −1.02665 | + | 1.02665i | −0.0270161 | + | 0.999635i | \(0.508601\pi\) |
−0.999635 | + | 0.0270161i | \(0.991399\pi\) | |||||||
\(774\) | −7623.16 | + | 14723.1i | −0.354016 | + | 0.683734i | ||||
\(775\) | −48700.1 | −2.25724 | ||||||||
\(776\) | −145.248 | − | 35193.9i | −0.00671919 | − | 1.62808i | ||||
\(777\) | −6336.78 | + | 5090.12i | −0.292575 | + | 0.235015i | ||||
\(778\) | −1208.51 | + | 4535.17i | −0.0556905 | + | 0.208990i | ||||
\(779\) | 588.525 | + | 588.525i | 0.0270682 | + | 0.0270682i | ||||
\(780\) | −19831.5 | + | 27227.1i | −0.910361 | + | 1.24985i | ||||
\(781\) | −649.757 | + | 649.757i | −0.0297697 | + | 0.0297697i | ||||
\(782\) | −3034.02 | + | 1757.26i | −0.138742 | + | 0.0803576i | ||||
\(783\) | 18257.1 | − | 9031.60i | 0.833275 | − | 0.412213i | ||||
\(784\) | 5390.36 | + | 9218.86i | 0.245552 | + | 0.419955i | ||||
\(785\) | 3462.85i | 0.157445i | ||||||||
\(786\) | 28961.9 | + | 11203.0i | 1.31430 | + | 0.508396i | ||||
\(787\) | 23376.5 | + | 23376.5i | 1.05881 | + | 1.05881i | 0.998159 | + | 0.0606482i | \(0.0193168\pi\) |
0.0606482 | + | 0.998159i | \(0.480683\pi\) | |||||||
\(788\) | −1865.73 | − | 6887.16i | −0.0843451 | − | 0.311351i | ||||
\(789\) | 19559.9 | + | 2133.96i | 0.882574 | + | 0.0962878i | ||||
\(790\) | −28338.8 | − | 7551.60i | −1.27627 | − | 0.340093i | ||||
\(791\) | − | 2097.70i | − | 0.0942930i | ||||||
\(792\) | −17502.6 | + | 11272.7i | −0.785264 | + | 0.505756i | ||||
\(793\) | − | 25632.8i | − | 1.14785i | ||||||
\(794\) | −4233.92 | + | 15888.6i | −0.189240 | + | 0.710158i | ||||
\(795\) | −53057.4 | − | 5788.50i | −2.36698 | − | 0.258235i | ||||
\(796\) | −8555.65 | + | 14913.4i | −0.380964 | + | 0.664061i | ||||
\(797\) | 12076.4 | + | 12076.4i | 0.536722 | + | 0.536722i | 0.922565 | − | 0.385843i | \(-0.126089\pi\) |
−0.385843 | + | 0.922565i | \(0.626089\pi\) | |||||||
\(798\) | 7387.34 | − | 19097.6i | 0.327706 | − | 0.847179i | ||||
\(799\) | − | 11850.6i | − | 0.524710i | ||||||
\(800\) | 19812.4 | − | 34867.8i | 0.875593 | − | 1.54095i | ||||
\(801\) | −25688.6 | − | 5672.71i | −1.13316 | − | 0.250232i | ||||
\(802\) | −6497.81 | − | 11218.9i | −0.286092 | − | 0.493955i | ||||
\(803\) | 20226.9 | − | 20226.9i | 0.888906 | − | 0.888906i | ||||
\(804\) | 2595.46 | + | 16515.1i | 0.113849 | + | 0.724431i | ||||
\(805\) | 3807.21 | + | 3807.21i | 0.166691 | + | 0.166691i | ||||
\(806\) | −26151.2 | − | 6968.66i | −1.14285 | − | 0.304541i | ||||
\(807\) | 860.143 | − | 690.924i | 0.0375198 | − | 0.0301384i | ||||
\(808\) | 8793.81 | + | 8721.52i | 0.382878 | + | 0.379730i | ||||
\(809\) | −6997.79 | −0.304115 | −0.152058 | − | 0.988372i | \(-0.548590\pi\) | ||||
−0.152058 | + | 0.988372i | \(0.548590\pi\) | |||||||
\(810\) | 24583.5 | − | 29478.6i | 1.06639 | − | 1.27873i | ||||
\(811\) | −16186.9 | + | 16186.9i | −0.700860 | + | 0.700860i | −0.964595 | − | 0.263735i | \(-0.915046\pi\) |
0.263735 | + | 0.964595i | \(0.415046\pi\) | |||||||
\(812\) | 14878.5 | − | 4030.60i | 0.643023 | − | 0.174195i | ||||
\(813\) | −24176.6 | − | 2637.63i | −1.04294 | − | 0.113783i | ||||
\(814\) | 5693.45 | + | 9830.09i | 0.245154 | + | 0.423273i | ||||
\(815\) | −5660.25 | −0.243276 | ||||||||
\(816\) | 7720.78 | + | 17268.9i | 0.331227 | + | 0.740848i | ||||
\(817\) | −22791.2 | −0.975967 | ||||||||
\(818\) | 2825.75 | + | 4878.82i | 0.120782 | + | 0.208538i | ||||
\(819\) | −13148.1 | + | 8391.57i | −0.560966 | + | 0.358028i | ||||
\(820\) | 308.728 | + | 1139.64i | 0.0131479 | + | 0.0485339i | ||||
\(821\) | 11255.6 | − | 11255.6i | 0.478467 | − | 0.478467i | −0.426174 | − | 0.904641i | \(-0.640139\pi\) |
0.904641 | + | 0.426174i | \(0.140139\pi\) | |||||||
\(822\) | −5746.97 | − | 12997.8i | −0.243855 | − | 0.551522i | ||||
\(823\) | 22030.1 | 0.933073 | 0.466537 | − | 0.884502i | \(-0.345502\pi\) | ||||
0.466537 | + | 0.884502i | \(0.345502\pi\) | |||||||
\(824\) | 10.1938 | + | 2469.99i | 0.000430969 | + | 0.104425i | ||||
\(825\) | 24566.3 | + | 30583.0i | 1.03671 | + | 1.29062i | ||||
\(826\) | −11385.1 | − | 3033.84i | −0.479585 | − | 0.127798i | ||||
\(827\) | 25411.8 | + | 25411.8i | 1.06851 | + | 1.06851i | 0.997474 | + | 0.0710322i | \(0.0226293\pi\) |
0.0710322 | + | 0.997474i | \(0.477371\pi\) | |||||||
\(828\) | −3481.93 | − | 3167.74i | −0.146142 | − | 0.132955i | ||||
\(829\) | 5834.97 | − | 5834.97i | 0.244459 | − | 0.244459i | −0.574233 | − | 0.818692i | \(-0.694700\pi\) |
0.818692 | + | 0.574233i | \(0.194700\pi\) | |||||||
\(830\) | 14931.2 | + | 25779.6i | 0.624420 | + | 1.07810i | ||||
\(831\) | −18631.4 | + | 14965.9i | −0.777756 | + | 0.624744i | ||||
\(832\) | 15628.3 | − | 15888.5i | 0.651219 | − | 0.662059i | ||||
\(833\) | 9491.36i | 0.394785i | ||||||||
\(834\) | 30146.1 | + | 11661.1i | 1.25165 | + | 0.484162i | ||||
\(835\) | 17912.5 | + | 17912.5i | 0.742381 | + | 0.742381i | ||||
\(836\) | −24823.7 | − | 14241.0i | −1.02697 | − | 0.589159i | ||||
\(837\) | 29215.9 | + | 9876.99i | 1.20651 | + | 0.407884i | ||||
\(838\) | 12221.4 | − | 45863.0i | 0.503794 | − | 1.89059i | ||||
\(839\) | 45330.1i | 1.86528i | 0.360809 | + | 0.932640i | \(0.382501\pi\) | ||||
−0.360809 | + | 0.932640i | \(0.617499\pi\) | |||||||
\(840\) | 22571.6 | − | 18284.8i | 0.927138 | − | 0.751054i | ||||
\(841\) | − | 3310.39i | − | 0.135733i | ||||||
\(842\) | 26295.6 | + | 7007.14i | 1.07626 | + | 0.286796i | ||||
\(843\) | 3333.46 | − | 30554.5i | 0.136193 | − | 1.24834i | ||||
\(844\) | 35179.3 | − | 9530.09i | 1.43474 | − | 0.388672i | ||||
\(845\) | −3979.12 | − | 3979.12i | −0.161995 | − | 0.161995i | ||||
\(846\) | 15163.2 | − | 4817.71i | 0.616220 | − | 0.195787i | ||||
\(847\) | 2253.50i | 0.0914180i | ||||||||
\(848\) | 34159.5 | + | 8951.85i | 1.38331 | + | 0.362509i | ||||
\(849\) | −22236.0 | − | 27681.9i | −0.898864 | − | 1.11901i | ||||
\(850\) | 30843.4 | − | 17864.0i | 1.24461 | − | 0.720860i | ||||
\(851\) | −1816.24 | + | 1816.24i | −0.0731609 | + | 0.0731609i | ||||
\(852\) | −659.960 | + | 906.072i | −0.0265374 | + | 0.0364337i | ||||
\(853\) | −6205.70 | − | 6205.70i | −0.249096 | − | 0.249096i | 0.571503 | − | 0.820600i | \(-0.306360\pi\) |
−0.820600 | + | 0.571503i | \(0.806360\pi\) | |||||||
\(854\) | −5691.90 | + | 21359.9i | −0.228071 | + | 0.855881i | ||||
\(855\) | 51523.7 | + | 11377.8i | 2.06091 | + | 0.455101i | ||||
\(856\) | −12233.8 | + | 12335.2i | −0.488485 | + | 0.492534i | ||||
\(857\) | −29172.6 | −1.16280 | −0.581398 | − | 0.813619i | \(-0.697494\pi\) | ||||
−0.581398 | + | 0.813619i | \(0.697494\pi\) | |||||||
\(858\) | 8815.49 | + | 19937.9i | 0.350765 | + | 0.793318i | ||||
\(859\) | −20666.9 | + | 20666.9i | −0.820891 | + | 0.820891i | −0.986236 | − | 0.165344i | \(-0.947126\pi\) |
0.165344 | + | 0.986236i | \(0.447126\pi\) | |||||||
\(860\) | −28044.7 | − | 16088.9i | −1.11200 | − | 0.637938i | ||||
\(861\) | −59.2975 | + | 543.521i | −0.00234710 | + | 0.0215135i | ||||
\(862\) | −22155.7 | + | 12832.3i | −0.875437 | + | 0.507041i | ||||
\(863\) | −43877.1 | −1.73070 | −0.865351 | − | 0.501167i | \(-0.832904\pi\) | ||||
−0.865351 | + | 0.501167i | \(0.832904\pi\) | |||||||
\(864\) | −18957.3 | + | 16899.5i | −0.746461 | + | 0.665429i | ||||
\(865\) | 28156.2 | 1.10675 | ||||||||
\(866\) | −39359.5 | + | 22796.4i | −1.54444 | + | 0.894521i | ||||
\(867\) | 945.331 | − | 8664.91i | 0.0370301 | − | 0.339418i | ||||
\(868\) | 20244.6 | + | 11614.1i | 0.791642 | + | 0.454155i | ||||
\(869\) | −13421.3 | + | 13421.3i | −0.523919 | + | 0.523919i | ||||
\(870\) | 16062.8 | + | 36328.9i | 0.625953 | + | 1.41571i | ||||
\(871\) | 17505.7 | 0.681006 | ||||||||
\(872\) | 5311.25 | + | 5267.59i | 0.206263 | + | 0.204568i | ||||
\(873\) | 41007.3 | + | 9055.48i | 1.58979 | + | 0.351067i | ||||
\(874\) | 1666.19 | − | 6252.70i | 0.0644848 | − | 0.241992i | ||||
\(875\) | −16866.0 | − | 16866.0i | −0.651628 | − | 0.651628i | ||||
\(876\) | 20544.5 | − | 28206.0i | 0.792391 | − | 1.08789i | ||||
\(877\) | −14728.7 | + | 14728.7i | −0.567105 | + | 0.567105i | −0.931316 | − | 0.364211i | \(-0.881339\pi\) |
0.364211 | + | 0.931316i | \(0.381339\pi\) | |||||||
\(878\) | 7103.71 | − | 4114.37i | 0.273051 | − | 0.158147i | ||||
\(879\) | 10514.6 | + | 13089.8i | 0.403468 | + | 0.502284i | ||||
\(880\) | −20492.5 | − | 35047.3i | −0.785004 | − | 1.34255i | ||||
\(881\) | − | 40741.9i | − | 1.55804i | −0.627002 | − | 0.779018i | \(-0.715718\pi\) | ||
0.627002 | − | 0.779018i | \(-0.284282\pi\) | |||||||
\(882\) | −12144.5 | + | 3858.60i | −0.463636 | + | 0.147308i | ||||
\(883\) | −10680.5 | − | 10680.5i | −0.407054 | − | 0.407054i | 0.473656 | − | 0.880710i | \(-0.342934\pi\) |
−0.880710 | + | 0.473656i | \(0.842934\pi\) | |||||||
\(884\) | 19118.6 | − | 5179.24i | 0.727409 | − | 0.197055i | ||||
\(885\) | 3292.84 | − | 30182.2i | 0.125071 | − | 1.14640i | ||||
\(886\) | 38081.6 | + | 10147.8i | 1.44399 | + | 0.384788i | ||||
\(887\) | 7595.40i | 0.287518i | 0.989613 | + | 0.143759i | \(0.0459191\pi\) | ||||
−0.989613 | + | 0.143759i | \(0.954081\pi\) | |||||||
\(888\) | 8722.82 | + | 10767.9i | 0.329638 | + | 0.406921i | ||||
\(889\) | 90.5254i | 0.00341521i | ||||||||
\(890\) | 13209.9 | − | 49572.7i | 0.497525 | − | 1.86706i | ||||
\(891\) | −8535.02 | − | 23329.5i | −0.320914 | − | 0.877179i | ||||
\(892\) | 909.572 | + | 521.810i | 0.0341421 | + | 0.0195869i | ||||
\(893\) | 15465.2 | + | 15465.2i | 0.579532 | + | 0.579532i | ||||
\(894\) | −42381.3 | − | 16393.9i | −1.58550 | − | 0.613305i | ||||
\(895\) | − | 8308.19i | − | 0.310293i | ||||||
\(896\) | −16551.3 | + | 9769.60i | −0.617120 | + | 0.364263i | ||||
\(897\) | −3842.86 | + | 3086.84i | −0.143043 | + | 0.114901i | ||||
\(898\) | −11520.8 | − | 19891.4i | −0.428123 | − | 0.739180i | ||||
\(899\) | −22567.2 | + | 22567.2i | −0.837218 | + | 0.837218i | ||||
\(900\) | 35396.6 | + | 32202.7i | 1.31099 | + | 1.19269i | ||||
\(901\) | 22192.9 | + | 22192.9i | 0.820590 | + | 0.820590i | ||||
\(902\) | 738.378 | + | 196.759i | 0.0272564 | + | 0.00726316i | ||||
\(903\) | −9376.03 | − | 11672.4i | −0.345531 | − | 0.430158i | ||||
\(904\) | −3576.41 | + | 14.7601i | −0.131582 | + | 0.000543046i | ||||
\(905\) | 88682.5 | 3.25735 | ||||||||
\(906\) | −3152.40 | − | 7129.73i | −0.115598 | − | 0.261445i | ||||
\(907\) | −17601.6 | + | 17601.6i | −0.644379 | + | 0.644379i | −0.951629 | − | 0.307250i | \(-0.900591\pi\) |
0.307250 | + | 0.951629i | \(0.400591\pi\) | |||||||
\(908\) | −8293.00 | − | 30612.8i | −0.303098 | − | 1.11885i | ||||
\(909\) | −12457.6 | + | 7950.90i | −0.454559 | + | 0.290115i | ||||
\(910\) | −15244.9 | − | 26321.3i | −0.555346 | − | 0.958839i | ||||
\(911\) | 19080.4 | 0.693922 | 0.346961 | − | 0.937880i | \(-0.387214\pi\) | ||||
0.346961 | + | 0.937880i | \(0.387214\pi\) | |||||||
\(912\) | −32611.9 | − | 12460.4i | −1.18409 | − | 0.452419i | ||||
\(913\) | 19280.7 | 0.698901 | ||||||||
\(914\) | 8766.25 | + | 15135.5i | 0.317245 | + | 0.547743i | ||||
\(915\) | −56625.9 | − | 6177.81i | −2.04589 | − | 0.223205i | ||||
\(916\) | 50350.5 | − | 13640.0i | 1.81619 | − | 0.492006i | ||||
\(917\) | −19828.6 | + | 19828.6i | −0.714065 | + | 0.714065i | ||||
\(918\) | −22126.4 | + | 4461.46i | −0.795511 | + | 0.160403i | ||||
\(919\) | −51887.0 | −1.86245 | −0.931226 | − | 0.364441i | \(-0.881260\pi\) | ||||
−0.931226 | + | 0.364441i | \(0.881260\pi\) | |||||||
\(920\) | 6464.19 | − | 6517.77i | 0.231650 | − | 0.233570i | ||||
\(921\) | −37832.0 | + | 30389.1i | −1.35354 | + | 1.08725i | ||||
\(922\) | −44424.2 | − | 11837.9i | −1.58680 | − | 0.422844i | ||||
\(923\) | 829.981 | + | 829.981i | 0.0295982 | + | 0.0295982i | ||||
\(924\) | −2918.70 | − | 18571.9i | −0.103916 | − | 0.661223i | ||||
\(925\) | 18463.6 | − | 18463.6i | 0.656301 | − | 0.656301i | ||||
\(926\) | −9248.60 | − | 15968.3i | −0.328216 | − | 0.566685i | ||||
\(927\) | −2877.99 | − | 635.535i | −0.101969 | − | 0.0225175i | ||||
\(928\) | −6976.54 | − | 25338.3i | −0.246785 | − | 0.896306i | ||||
\(929\) | − | 40398.2i | − | 1.42672i | −0.700799 | − | 0.713359i | \(-0.747173\pi\) | ||
0.700799 | − | 0.713359i | \(-0.252827\pi\) | |||||||
\(930\) | −21697.4 | + | 56091.7i | −0.765038 | + | 1.97776i | ||||
\(931\) | −12386.4 | − | 12386.4i | −0.436033 | − | 0.436033i | ||||
\(932\) | 2211.68 | − | 3855.20i | 0.0777318 | − | 0.135495i | ||||
\(933\) | −896.867 | − | 97.8471i | −0.0314706 | − | 0.00343341i | ||||
\(934\) | 1558.05 | − | 5846.89i | 0.0545835 | − | 0.204835i | ||||
\(935\) | − | 36083.3i | − | 1.26209i | ||||||
\(936\) | 14399.5 | + | 22357.4i | 0.502843 | + | 0.780741i | ||||
\(937\) | 19890.2i | 0.693472i | 0.937963 | + | 0.346736i | \(0.112710\pi\) | ||||
−0.937963 | + | 0.346736i | \(0.887290\pi\) | |||||||
\(938\) | −14587.6 | − | 3887.23i | −0.507784 | − | 0.135312i | ||||
\(939\) | 8978.78 | + | 979.573i | 0.312046 | + | 0.0340438i | ||||
\(940\) | 8112.70 | + | 29947.2i | 0.281497 | + | 1.03912i | ||||
\(941\) | 17075.6 | + | 17075.6i | 0.591550 | + | 0.591550i | 0.938050 | − | 0.346500i | \(-0.112630\pi\) |
−0.346500 | + | 0.938050i | \(0.612630\pi\) | |||||||
\(942\) | 2549.78 | + | 986.305i | 0.0881914 | + | 0.0341142i | ||||
\(943\) | 172.779i | 0.00596656i | ||||||||
\(944\) | −5092.34 | + | 19432.0i | −0.175574 | + | 0.669976i | ||||
\(945\) | 15369.2 | + | 31068.2i | 0.529057 | + | 1.06947i | ||||
\(946\) | −18107.1 | + | 10487.4i | −0.622317 | + | 0.360437i | ||||
\(947\) | −13508.1 | + | 13508.1i | −0.463522 | + | 0.463522i | −0.899808 | − | 0.436286i | \(-0.856294\pi\) |
0.436286 | + | 0.899808i | \(0.356294\pi\) | |||||||
\(948\) | −13632.0 | + | 18715.7i | −0.467034 | + | 0.641200i | ||||
\(949\) | −25837.2 | − | 25837.2i | −0.883786 | − | 0.883786i | ||||
\(950\) | −16938.2 | + | 63563.9i | −0.578471 | + | 2.17082i | ||||
\(951\) | 14243.0 | − | 11440.9i | 0.485658 | − | 0.390113i | ||||
\(952\) | −17081.8 | + | 70.4976i | −0.581537 | + | 0.00240004i | ||||
\(953\) | −8590.20 | −0.291987 | −0.145994 | − | 0.989286i | \(-0.546638\pi\) | ||||
−0.145994 | + | 0.989286i | \(0.546638\pi\) | |||||||
\(954\) | −19374.3 | + | 37418.8i | −0.657511 | + | 1.26989i | ||||
\(955\) | 57964.3 | − | 57964.3i | 1.96406 | − | 1.96406i | ||||
\(956\) | −12214.3 | + | 21290.9i | −0.413220 | + | 0.720288i | ||||
\(957\) | 25555.7 | + | 2788.09i | 0.863216 | + | 0.0941759i | ||||
\(958\) | −17775.5 | + | 10295.3i | −0.599479 | + | 0.347210i | ||||
\(959\) | 12833.5 | 0.432133 | ||||||||
\(960\) | −31332.9 | − | 38354.1i | −1.05340 | − | 1.28945i | ||||
\(961\) | −18531.0 | −0.622032 | ||||||||
\(962\) | 12556.7 | − | 7272.65i | 0.420835 | − | 0.243742i | ||||
\(963\) | −11152.9 | − | 17474.5i | −0.373204 | − | 0.584744i | ||||
\(964\) | 9882.68 | − | 17226.6i | 0.330186 | − | 0.575551i | ||||
\(965\) | −225.723 | + | 225.723i | −0.00752983 | + | 0.00752983i | ||||
\(966\) | 3887.73 | − | 1718.95i | 0.129488 | − | 0.0572530i | ||||
\(967\) | 46277.4 | 1.53897 | 0.769483 | − | 0.638667i | \(-0.220514\pi\) | ||||
0.769483 | + | 0.638667i | \(0.220514\pi\) | |||||||
\(968\) | 3842.03 | − | 15.8563i | 0.127570 | − | 0.000526489i | ||||
\(969\) | −19431.4 | − | 24190.5i | −0.644197 | − | 0.801973i | ||||
\(970\) | −21087.3 | + | 79134.1i | −0.698012 | + | 2.61943i | ||||
\(971\) | −17326.3 | − | 17326.3i | −0.572634 | − | 0.572634i | 0.360230 | − | 0.932864i | \(-0.382698\pi\) |
−0.932864 | + | 0.360230i | \(0.882698\pi\) | |||||||
\(972\) | −14703.8 | − | 26497.7i | −0.485211 | − | 0.874397i | ||||
\(973\) | −20639.3 | + | 20639.3i | −0.680027 | + | 0.680027i | ||||
\(974\) | 13991.5 | − | 8103.68i | 0.460284 | − | 0.266590i | ||||
\(975\) | 39065.8 | − | 31380.2i | 1.28319 | − | 1.03074i | ||||
\(976\) | 36457.0 | + | 9553.92i | 1.19566 | + | 0.313334i | ||||
\(977\) | 30452.9i | 0.997212i | 0.866829 | + | 0.498606i | \(0.166154\pi\) | ||||
−0.866829 | + | 0.498606i | \(0.833846\pi\) | |||||||
\(978\) | −1612.18 | + | 4167.78i | −0.0527115 | + | 0.136269i | ||||
\(979\) | −23477.7 | − | 23477.7i | −0.766445 | − | 0.766445i | ||||
\(980\) | −6497.63 | − | 23985.3i | −0.211795 | − | 0.781819i | ||||
\(981\) | −7524.12 | + | 4802.16i | −0.244879 | + | 0.156291i | ||||
\(982\) | −15021.3 | − | 4002.81i | −0.488136 | − | 0.130076i | ||||
\(983\) | 45808.8i | 1.48634i | 0.669102 | + | 0.743170i | \(0.266679\pi\) | ||||
−0.669102 | + | 0.743170i | \(0.733321\pi\) | |||||||
\(984\) | 927.076 | + | 97.2730i | 0.0300347 | + | 0.00315137i | ||||
\(985\) | 16603.8i | 0.537096i | ||||||||
\(986\) | 6014.50 | − | 22570.6i | 0.194261 | − | 0.729000i | ||||
\(987\) | −1558.21 | + | 14282.6i | −0.0502516 | + | 0.460607i | ||||
\(988\) | −18191.1 | + | 31709.1i | −0.585765 | + | 1.02105i | ||||
\(989\) | −3345.53 | − | 3345.53i | −0.107565 | − | 0.107565i | ||||
\(990\) | 46169.8 | − | 14669.2i | 1.48219 | − | 0.470928i | ||||
\(991\) | − | 40677.8i | − | 1.30391i | −0.758258 | − | 0.651954i | \(-0.773949\pi\) | ||
0.758258 | − | 0.651954i | \(-0.226051\pi\) | |||||||
\(992\) | 19658.6 | − | 34597.0i | 0.629194 | − | 1.10732i | ||||
\(993\) | 30340.8 | + | 37771.8i | 0.969623 | + | 1.20710i | ||||
\(994\) | −507.326 | − | 875.930i | −0.0161886 | − | 0.0279505i | ||||
\(995\) | 28290.0 | − | 28290.0i | 0.901360 | − | 0.901360i | ||||
\(996\) | 23234.9 | − | 3651.53i | 0.739184 | − | 0.116168i | ||||
\(997\) | −24051.1 | − | 24051.1i | −0.763998 | − | 0.763998i | 0.213045 | − | 0.977042i | \(-0.431662\pi\) |
−0.977042 | + | 0.213045i | \(0.931662\pi\) | |||||||
\(998\) | −10141.8 | − | 2702.53i | −0.321676 | − | 0.0857186i | ||||
\(999\) | −14821.2 | + | 7331.91i | −0.469391 | + | 0.232203i |
(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 | 48.4.k.a.11.5 | ✓ | 44 | |
3.2 | odd | 2 | inner | 48.4.k.a.11.18 | yes | 44 | |
4.3 | odd | 2 | 192.4.k.a.143.10 | 44 | |||
8.3 | odd | 2 | 384.4.k.a.287.13 | 44 | |||
8.5 | even | 2 | 384.4.k.b.287.10 | 44 | |||
12.11 | even | 2 | 192.4.k.a.143.21 | 44 | |||
16.3 | odd | 4 | inner | 48.4.k.a.35.18 | yes | 44 | |
16.5 | even | 4 | 384.4.k.a.95.2 | 44 | |||
16.11 | odd | 4 | 384.4.k.b.95.21 | 44 | |||
16.13 | even | 4 | 192.4.k.a.47.21 | 44 | |||
24.5 | odd | 2 | 384.4.k.b.287.21 | 44 | |||
24.11 | even | 2 | 384.4.k.a.287.2 | 44 | |||
48.5 | odd | 4 | 384.4.k.a.95.13 | 44 | |||
48.11 | even | 4 | 384.4.k.b.95.10 | 44 | |||
48.29 | odd | 4 | 192.4.k.a.47.10 | 44 | |||
48.35 | even | 4 | inner | 48.4.k.a.35.5 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.4.k.a.11.5 | ✓ | 44 | 1.1 | even | 1 | trivial | |
48.4.k.a.11.18 | yes | 44 | 3.2 | odd | 2 | inner | |
48.4.k.a.35.5 | yes | 44 | 48.35 | even | 4 | inner | |
48.4.k.a.35.18 | yes | 44 | 16.3 | odd | 4 | inner | |
192.4.k.a.47.10 | 44 | 48.29 | odd | 4 | |||
192.4.k.a.47.21 | 44 | 16.13 | even | 4 | |||
192.4.k.a.143.10 | 44 | 4.3 | odd | 2 | |||
192.4.k.a.143.21 | 44 | 12.11 | even | 2 | |||
384.4.k.a.95.2 | 44 | 16.5 | even | 4 | |||
384.4.k.a.95.13 | 44 | 48.5 | odd | 4 | |||
384.4.k.a.287.2 | 44 | 24.11 | even | 2 | |||
384.4.k.a.287.13 | 44 | 8.3 | odd | 2 | |||
384.4.k.b.95.10 | 44 | 48.11 | even | 4 | |||
384.4.k.b.95.21 | 44 | 16.11 | odd | 4 | |||
384.4.k.b.287.10 | 44 | 8.5 | even | 2 | |||
384.4.k.b.287.21 | 44 | 24.5 | odd | 2 |