Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6026,2,Mod(1,6026)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6026, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6026.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6026 = 2 \cdot 23 \cdot 131 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6026.a (trivial) |
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: | yes |
Analytic conductor: | \(48.1178522580\) |
Analytic rank: | \(0\) |
Dimension: | \(41\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.4 | ||
Character | \(\chi\) | \(=\) | 6026.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −3.13493 | −1.80995 | −0.904976 | − | 0.425462i | \(-0.860111\pi\) | ||||
−0.904976 | + | 0.425462i | \(0.860111\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 2.02213 | 0.904325 | 0.452163 | − | 0.891936i | \(-0.350653\pi\) | ||||
0.452163 | + | 0.891936i | \(0.350653\pi\) | |||||||
\(6\) | −3.13493 | −1.27983 | ||||||||
\(7\) | −2.34132 | −0.884936 | −0.442468 | − | 0.896784i | \(-0.645897\pi\) | ||||
−0.442468 | + | 0.896784i | \(0.645897\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 6.82778 | 2.27593 | ||||||||
\(10\) | 2.02213 | 0.639454 | ||||||||
\(11\) | −3.59300 | −1.08333 | −0.541665 | − | 0.840594i | \(-0.682206\pi\) | ||||
−0.541665 | + | 0.840594i | \(0.682206\pi\) | |||||||
\(12\) | −3.13493 | −0.904976 | ||||||||
\(13\) | 4.28832 | 1.18937 | 0.594683 | − | 0.803960i | \(-0.297278\pi\) | ||||
0.594683 | + | 0.803960i | \(0.297278\pi\) | |||||||
\(14\) | −2.34132 | −0.625744 | ||||||||
\(15\) | −6.33924 | −1.63679 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.99610 | 1.45427 | 0.727133 | − | 0.686496i | \(-0.240852\pi\) | ||||
0.727133 | + | 0.686496i | \(0.240852\pi\) | |||||||
\(18\) | 6.82778 | 1.60932 | ||||||||
\(19\) | 6.79081 | 1.55792 | 0.778960 | − | 0.627074i | \(-0.215748\pi\) | ||||
0.778960 | + | 0.627074i | \(0.215748\pi\) | |||||||
\(20\) | 2.02213 | 0.452163 | ||||||||
\(21\) | 7.33987 | 1.60169 | ||||||||
\(22\) | −3.59300 | −0.766030 | ||||||||
\(23\) | 1.00000 | 0.208514 | ||||||||
\(24\) | −3.13493 | −0.639915 | ||||||||
\(25\) | −0.910980 | −0.182196 | ||||||||
\(26\) | 4.28832 | 0.841009 | ||||||||
\(27\) | −11.9998 | −2.30937 | ||||||||
\(28\) | −2.34132 | −0.442468 | ||||||||
\(29\) | 10.3385 | 1.91980 | 0.959902 | − | 0.280336i | \(-0.0904458\pi\) | ||||
0.959902 | + | 0.280336i | \(0.0904458\pi\) | |||||||
\(30\) | −6.33924 | −1.15738 | ||||||||
\(31\) | −1.95079 | −0.350373 | −0.175187 | − | 0.984535i | \(-0.556053\pi\) | ||||
−0.175187 | + | 0.984535i | \(0.556053\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 11.2638 | 1.96078 | ||||||||
\(34\) | 5.99610 | 1.02832 | ||||||||
\(35\) | −4.73446 | −0.800270 | ||||||||
\(36\) | 6.82778 | 1.13796 | ||||||||
\(37\) | −10.9865 | −1.80617 | −0.903086 | − | 0.429459i | \(-0.858704\pi\) | ||||
−0.903086 | + | 0.429459i | \(0.858704\pi\) | |||||||
\(38\) | 6.79081 | 1.10162 | ||||||||
\(39\) | −13.4436 | −2.15270 | ||||||||
\(40\) | 2.02213 | 0.319727 | ||||||||
\(41\) | −4.92852 | −0.769705 | −0.384853 | − | 0.922978i | \(-0.625748\pi\) | ||||
−0.384853 | + | 0.922978i | \(0.625748\pi\) | |||||||
\(42\) | 7.33987 | 1.13257 | ||||||||
\(43\) | −9.18429 | −1.40059 | −0.700296 | − | 0.713853i | \(-0.746948\pi\) | ||||
−0.700296 | + | 0.713853i | \(0.746948\pi\) | |||||||
\(44\) | −3.59300 | −0.541665 | ||||||||
\(45\) | 13.8067 | 2.05818 | ||||||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | 8.36252 | 1.21980 | 0.609900 | − | 0.792479i | \(-0.291210\pi\) | ||||
0.609900 | + | 0.792479i | \(0.291210\pi\) | |||||||
\(48\) | −3.13493 | −0.452488 | ||||||||
\(49\) | −1.51822 | −0.216888 | ||||||||
\(50\) | −0.910980 | −0.128832 | ||||||||
\(51\) | −18.7973 | −2.63215 | ||||||||
\(52\) | 4.28832 | 0.594683 | ||||||||
\(53\) | 11.0290 | 1.51495 | 0.757473 | − | 0.652867i | \(-0.226434\pi\) | ||||
0.757473 | + | 0.652867i | \(0.226434\pi\) | |||||||
\(54\) | −11.9998 | −1.63297 | ||||||||
\(55\) | −7.26552 | −0.979682 | ||||||||
\(56\) | −2.34132 | −0.312872 | ||||||||
\(57\) | −21.2887 | −2.81976 | ||||||||
\(58\) | 10.3385 | 1.35751 | ||||||||
\(59\) | 2.22413 | 0.289557 | 0.144778 | − | 0.989464i | \(-0.453753\pi\) | ||||
0.144778 | + | 0.989464i | \(0.453753\pi\) | |||||||
\(60\) | −6.33924 | −0.818393 | ||||||||
\(61\) | −4.29334 | −0.549706 | −0.274853 | − | 0.961486i | \(-0.588629\pi\) | ||||
−0.274853 | + | 0.961486i | \(0.588629\pi\) | |||||||
\(62\) | −1.95079 | −0.247751 | ||||||||
\(63\) | −15.9860 | −2.01405 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 8.67155 | 1.07557 | ||||||||
\(66\) | 11.2638 | 1.38648 | ||||||||
\(67\) | −4.97586 | −0.607898 | −0.303949 | − | 0.952688i | \(-0.598305\pi\) | ||||
−0.303949 | + | 0.952688i | \(0.598305\pi\) | |||||||
\(68\) | 5.99610 | 0.727133 | ||||||||
\(69\) | −3.13493 | −0.377401 | ||||||||
\(70\) | −4.73446 | −0.565876 | ||||||||
\(71\) | 8.88877 | 1.05490 | 0.527452 | − | 0.849585i | \(-0.323148\pi\) | ||||
0.527452 | + | 0.849585i | \(0.323148\pi\) | |||||||
\(72\) | 6.82778 | 0.804662 | ||||||||
\(73\) | −5.44770 | −0.637605 | −0.318803 | − | 0.947821i | \(-0.603281\pi\) | ||||
−0.318803 | + | 0.947821i | \(0.603281\pi\) | |||||||
\(74\) | −10.9865 | −1.27716 | ||||||||
\(75\) | 2.85586 | 0.329766 | ||||||||
\(76\) | 6.79081 | 0.778960 | ||||||||
\(77\) | 8.41236 | 0.958678 | ||||||||
\(78\) | −13.4436 | −1.52219 | ||||||||
\(79\) | −12.0384 | −1.35442 | −0.677212 | − | 0.735788i | \(-0.736812\pi\) | ||||
−0.677212 | + | 0.735788i | \(0.736812\pi\) | |||||||
\(80\) | 2.02213 | 0.226081 | ||||||||
\(81\) | 17.1352 | 1.90392 | ||||||||
\(82\) | −4.92852 | −0.544264 | ||||||||
\(83\) | 1.70720 | 0.187390 | 0.0936950 | − | 0.995601i | \(-0.470132\pi\) | ||||
0.0936950 | + | 0.995601i | \(0.470132\pi\) | |||||||
\(84\) | 7.33987 | 0.800846 | ||||||||
\(85\) | 12.1249 | 1.31513 | ||||||||
\(86\) | −9.18429 | −0.990368 | ||||||||
\(87\) | −32.4103 | −3.47475 | ||||||||
\(88\) | −3.59300 | −0.383015 | ||||||||
\(89\) | 18.2344 | 1.93284 | 0.966421 | − | 0.256965i | \(-0.0827225\pi\) | ||||
0.966421 | + | 0.256965i | \(0.0827225\pi\) | |||||||
\(90\) | 13.8067 | 1.45535 | ||||||||
\(91\) | −10.0403 | −1.05251 | ||||||||
\(92\) | 1.00000 | 0.104257 | ||||||||
\(93\) | 6.11560 | 0.634159 | ||||||||
\(94\) | 8.36252 | 0.862528 | ||||||||
\(95\) | 13.7319 | 1.40887 | ||||||||
\(96\) | −3.13493 | −0.319957 | ||||||||
\(97\) | −12.9465 | −1.31452 | −0.657260 | − | 0.753664i | \(-0.728285\pi\) | ||||
−0.657260 | + | 0.753664i | \(0.728285\pi\) | |||||||
\(98\) | −1.51822 | −0.153363 | ||||||||
\(99\) | −24.5322 | −2.46558 | ||||||||
\(100\) | −0.910980 | −0.0910980 | ||||||||
\(101\) | 17.1239 | 1.70389 | 0.851946 | − | 0.523629i | \(-0.175422\pi\) | ||||
0.851946 | + | 0.523629i | \(0.175422\pi\) | |||||||
\(102\) | −18.7973 | −1.86121 | ||||||||
\(103\) | 12.3311 | 1.21502 | 0.607509 | − | 0.794313i | \(-0.292169\pi\) | ||||
0.607509 | + | 0.794313i | \(0.292169\pi\) | |||||||
\(104\) | 4.28832 | 0.420504 | ||||||||
\(105\) | 14.8422 | 1.44845 | ||||||||
\(106\) | 11.0290 | 1.07123 | ||||||||
\(107\) | 10.0130 | 0.967997 | 0.483999 | − | 0.875069i | \(-0.339184\pi\) | ||||
0.483999 | + | 0.875069i | \(0.339184\pi\) | |||||||
\(108\) | −11.9998 | −1.15468 | ||||||||
\(109\) | 9.22553 | 0.883645 | 0.441823 | − | 0.897102i | \(-0.354332\pi\) | ||||
0.441823 | + | 0.897102i | \(0.354332\pi\) | |||||||
\(110\) | −7.26552 | −0.692740 | ||||||||
\(111\) | 34.4420 | 3.26909 | ||||||||
\(112\) | −2.34132 | −0.221234 | ||||||||
\(113\) | −11.5838 | −1.08971 | −0.544855 | − | 0.838530i | \(-0.683415\pi\) | ||||
−0.544855 | + | 0.838530i | \(0.683415\pi\) | |||||||
\(114\) | −21.2887 | −1.99387 | ||||||||
\(115\) | 2.02213 | 0.188565 | ||||||||
\(116\) | 10.3385 | 0.959902 | ||||||||
\(117\) | 29.2797 | 2.70691 | ||||||||
\(118\) | 2.22413 | 0.204747 | ||||||||
\(119\) | −14.0388 | −1.28693 | ||||||||
\(120\) | −6.33924 | −0.578691 | ||||||||
\(121\) | 1.90964 | 0.173604 | ||||||||
\(122\) | −4.29334 | −0.388701 | ||||||||
\(123\) | 15.4506 | 1.39313 | ||||||||
\(124\) | −1.95079 | −0.175187 | ||||||||
\(125\) | −11.9528 | −1.06909 | ||||||||
\(126\) | −15.9860 | −1.42415 | ||||||||
\(127\) | −9.71481 | −0.862050 | −0.431025 | − | 0.902340i | \(-0.641848\pi\) | ||||
−0.431025 | + | 0.902340i | \(0.641848\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 28.7921 | 2.53500 | ||||||||
\(130\) | 8.67155 | 0.760545 | ||||||||
\(131\) | 1.00000 | 0.0873704 | ||||||||
\(132\) | 11.2638 | 0.980388 | ||||||||
\(133\) | −15.8995 | −1.37866 | ||||||||
\(134\) | −4.97586 | −0.429849 | ||||||||
\(135\) | −24.2652 | −2.08842 | ||||||||
\(136\) | 5.99610 | 0.514161 | ||||||||
\(137\) | −3.06082 | −0.261504 | −0.130752 | − | 0.991415i | \(-0.541739\pi\) | ||||
−0.130752 | + | 0.991415i | \(0.541739\pi\) | |||||||
\(138\) | −3.13493 | −0.266863 | ||||||||
\(139\) | 14.0439 | 1.19119 | 0.595595 | − | 0.803285i | \(-0.296916\pi\) | ||||
0.595595 | + | 0.803285i | \(0.296916\pi\) | |||||||
\(140\) | −4.73446 | −0.400135 | ||||||||
\(141\) | −26.2159 | −2.20778 | ||||||||
\(142\) | 8.88877 | 0.745929 | ||||||||
\(143\) | −15.4079 | −1.28848 | ||||||||
\(144\) | 6.82778 | 0.568982 | ||||||||
\(145\) | 20.9057 | 1.73613 | ||||||||
\(146\) | −5.44770 | −0.450855 | ||||||||
\(147\) | 4.75951 | 0.392558 | ||||||||
\(148\) | −10.9865 | −0.903086 | ||||||||
\(149\) | −19.7560 | −1.61847 | −0.809237 | − | 0.587482i | \(-0.800119\pi\) | ||||
−0.809237 | + | 0.587482i | \(0.800119\pi\) | |||||||
\(150\) | 2.85586 | 0.233180 | ||||||||
\(151\) | 3.09790 | 0.252103 | 0.126052 | − | 0.992024i | \(-0.459770\pi\) | ||||
0.126052 | + | 0.992024i | \(0.459770\pi\) | |||||||
\(152\) | 6.79081 | 0.550808 | ||||||||
\(153\) | 40.9400 | 3.30981 | ||||||||
\(154\) | 8.41236 | 0.677887 | ||||||||
\(155\) | −3.94477 | −0.316851 | ||||||||
\(156\) | −13.4436 | −1.07635 | ||||||||
\(157\) | −13.4885 | −1.07650 | −0.538248 | − | 0.842787i | \(-0.680914\pi\) | ||||
−0.538248 | + | 0.842787i | \(0.680914\pi\) | |||||||
\(158\) | −12.0384 | −0.957723 | ||||||||
\(159\) | −34.5750 | −2.74198 | ||||||||
\(160\) | 2.02213 | 0.159864 | ||||||||
\(161\) | −2.34132 | −0.184522 | ||||||||
\(162\) | 17.1352 | 1.34627 | ||||||||
\(163\) | 17.8366 | 1.39707 | 0.698534 | − | 0.715577i | \(-0.253836\pi\) | ||||
0.698534 | + | 0.715577i | \(0.253836\pi\) | |||||||
\(164\) | −4.92852 | −0.384853 | ||||||||
\(165\) | 22.7769 | 1.77318 | ||||||||
\(166\) | 1.70720 | 0.132505 | ||||||||
\(167\) | 9.99391 | 0.773352 | 0.386676 | − | 0.922216i | \(-0.373623\pi\) | ||||
0.386676 | + | 0.922216i | \(0.373623\pi\) | |||||||
\(168\) | 7.33987 | 0.566284 | ||||||||
\(169\) | 5.38968 | 0.414591 | ||||||||
\(170\) | 12.1249 | 0.929937 | ||||||||
\(171\) | 46.3662 | 3.54571 | ||||||||
\(172\) | −9.18429 | −0.700296 | ||||||||
\(173\) | 5.77748 | 0.439253 | 0.219627 | − | 0.975584i | \(-0.429516\pi\) | ||||
0.219627 | + | 0.975584i | \(0.429516\pi\) | |||||||
\(174\) | −32.4103 | −2.45702 | ||||||||
\(175\) | 2.13290 | 0.161232 | ||||||||
\(176\) | −3.59300 | −0.270832 | ||||||||
\(177\) | −6.97248 | −0.524083 | ||||||||
\(178\) | 18.2344 | 1.36673 | ||||||||
\(179\) | 6.59095 | 0.492631 | 0.246315 | − | 0.969190i | \(-0.420780\pi\) | ||||
0.246315 | + | 0.969190i | \(0.420780\pi\) | |||||||
\(180\) | 13.8067 | 1.02909 | ||||||||
\(181\) | 25.0328 | 1.86068 | 0.930338 | − | 0.366703i | \(-0.119513\pi\) | ||||
0.930338 | + | 0.366703i | \(0.119513\pi\) | |||||||
\(182\) | −10.0403 | −0.744239 | ||||||||
\(183\) | 13.4593 | 0.994942 | ||||||||
\(184\) | 1.00000 | 0.0737210 | ||||||||
\(185\) | −22.2162 | −1.63337 | ||||||||
\(186\) | 6.11560 | 0.448418 | ||||||||
\(187\) | −21.5440 | −1.57545 | ||||||||
\(188\) | 8.36252 | 0.609900 | ||||||||
\(189\) | 28.0954 | 2.04364 | ||||||||
\(190\) | 13.7319 | 0.996219 | ||||||||
\(191\) | 7.84380 | 0.567558 | 0.283779 | − | 0.958890i | \(-0.408412\pi\) | ||||
0.283779 | + | 0.958890i | \(0.408412\pi\) | |||||||
\(192\) | −3.13493 | −0.226244 | ||||||||
\(193\) | 23.3871 | 1.68344 | 0.841721 | − | 0.539912i | \(-0.181543\pi\) | ||||
0.841721 | + | 0.539912i | \(0.181543\pi\) | |||||||
\(194\) | −12.9465 | −0.929506 | ||||||||
\(195\) | −27.1847 | −1.94674 | ||||||||
\(196\) | −1.51822 | −0.108444 | ||||||||
\(197\) | −19.8122 | −1.41156 | −0.705781 | − | 0.708430i | \(-0.749404\pi\) | ||||
−0.705781 | + | 0.708430i | \(0.749404\pi\) | |||||||
\(198\) | −24.5322 | −1.74343 | ||||||||
\(199\) | 6.30432 | 0.446901 | 0.223451 | − | 0.974715i | \(-0.428268\pi\) | ||||
0.223451 | + | 0.974715i | \(0.428268\pi\) | |||||||
\(200\) | −0.910980 | −0.0644160 | ||||||||
\(201\) | 15.5990 | 1.10027 | ||||||||
\(202\) | 17.1239 | 1.20483 | ||||||||
\(203\) | −24.2057 | −1.69890 | ||||||||
\(204\) | −18.7973 | −1.31608 | ||||||||
\(205\) | −9.96612 | −0.696064 | ||||||||
\(206\) | 12.3311 | 0.859147 | ||||||||
\(207\) | 6.82778 | 0.474564 | ||||||||
\(208\) | 4.28832 | 0.297341 | ||||||||
\(209\) | −24.3994 | −1.68774 | ||||||||
\(210\) | 14.8422 | 1.02421 | ||||||||
\(211\) | −16.9750 | −1.16861 | −0.584304 | − | 0.811535i | \(-0.698632\pi\) | ||||
−0.584304 | + | 0.811535i | \(0.698632\pi\) | |||||||
\(212\) | 11.0290 | 0.757473 | ||||||||
\(213\) | −27.8657 | −1.90932 | ||||||||
\(214\) | 10.0130 | 0.684477 | ||||||||
\(215\) | −18.5719 | −1.26659 | ||||||||
\(216\) | −11.9998 | −0.816484 | ||||||||
\(217\) | 4.56744 | 0.310058 | ||||||||
\(218\) | 9.22553 | 0.624832 | ||||||||
\(219\) | 17.0782 | 1.15404 | ||||||||
\(220\) | −7.26552 | −0.489841 | ||||||||
\(221\) | 25.7132 | 1.72966 | ||||||||
\(222\) | 34.4420 | 2.31159 | ||||||||
\(223\) | −4.11278 | −0.275412 | −0.137706 | − | 0.990473i | \(-0.543973\pi\) | ||||
−0.137706 | + | 0.990473i | \(0.543973\pi\) | |||||||
\(224\) | −2.34132 | −0.156436 | ||||||||
\(225\) | −6.21997 | −0.414665 | ||||||||
\(226\) | −11.5838 | −0.770541 | ||||||||
\(227\) | 25.3339 | 1.68147 | 0.840735 | − | 0.541447i | \(-0.182123\pi\) | ||||
0.840735 | + | 0.541447i | \(0.182123\pi\) | |||||||
\(228\) | −21.2887 | −1.40988 | ||||||||
\(229\) | −10.9457 | −0.723314 | −0.361657 | − | 0.932311i | \(-0.617789\pi\) | ||||
−0.361657 | + | 0.932311i | \(0.617789\pi\) | |||||||
\(230\) | 2.02213 | 0.133335 | ||||||||
\(231\) | −26.3722 | −1.73516 | ||||||||
\(232\) | 10.3385 | 0.678753 | ||||||||
\(233\) | 18.9687 | 1.24268 | 0.621339 | − | 0.783542i | \(-0.286589\pi\) | ||||
0.621339 | + | 0.783542i | \(0.286589\pi\) | |||||||
\(234\) | 29.2797 | 1.91407 | ||||||||
\(235\) | 16.9101 | 1.10309 | ||||||||
\(236\) | 2.22413 | 0.144778 | ||||||||
\(237\) | 37.7395 | 2.45144 | ||||||||
\(238\) | −14.0388 | −0.909999 | ||||||||
\(239\) | 6.77067 | 0.437958 | 0.218979 | − | 0.975730i | \(-0.429727\pi\) | ||||
0.218979 | + | 0.975730i | \(0.429727\pi\) | |||||||
\(240\) | −6.33924 | −0.409196 | ||||||||
\(241\) | 11.6269 | 0.748956 | 0.374478 | − | 0.927236i | \(-0.377822\pi\) | ||||
0.374478 | + | 0.927236i | \(0.377822\pi\) | |||||||
\(242\) | 1.90964 | 0.122756 | ||||||||
\(243\) | −17.7183 | −1.13663 | ||||||||
\(244\) | −4.29334 | −0.274853 | ||||||||
\(245\) | −3.07004 | −0.196138 | ||||||||
\(246\) | 15.4506 | 0.985092 | ||||||||
\(247\) | 29.1212 | 1.85294 | ||||||||
\(248\) | −1.95079 | −0.123876 | ||||||||
\(249\) | −5.35196 | −0.339167 | ||||||||
\(250\) | −11.9528 | −0.755961 | ||||||||
\(251\) | −13.2512 | −0.836410 | −0.418205 | − | 0.908353i | \(-0.637341\pi\) | ||||
−0.418205 | + | 0.908353i | \(0.637341\pi\) | |||||||
\(252\) | −15.9860 | −1.00702 | ||||||||
\(253\) | −3.59300 | −0.225890 | ||||||||
\(254\) | −9.71481 | −0.609561 | ||||||||
\(255\) | −38.0107 | −2.38032 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.10580 | 0.193734 | 0.0968672 | − | 0.995297i | \(-0.469118\pi\) | ||||
0.0968672 | + | 0.995297i | \(0.469118\pi\) | |||||||
\(258\) | 28.7921 | 1.79252 | ||||||||
\(259\) | 25.7230 | 1.59835 | ||||||||
\(260\) | 8.67155 | 0.537787 | ||||||||
\(261\) | 70.5888 | 4.36933 | ||||||||
\(262\) | 1.00000 | 0.0617802 | ||||||||
\(263\) | 8.07948 | 0.498202 | 0.249101 | − | 0.968478i | \(-0.419865\pi\) | ||||
0.249101 | + | 0.968478i | \(0.419865\pi\) | |||||||
\(264\) | 11.2638 | 0.693239 | ||||||||
\(265\) | 22.3020 | 1.37000 | ||||||||
\(266\) | −15.8995 | −0.974859 | ||||||||
\(267\) | −57.1635 | −3.49835 | ||||||||
\(268\) | −4.97586 | −0.303949 | ||||||||
\(269\) | −6.52400 | −0.397776 | −0.198888 | − | 0.980022i | \(-0.563733\pi\) | ||||
−0.198888 | + | 0.980022i | \(0.563733\pi\) | |||||||
\(270\) | −24.2652 | −1.47673 | ||||||||
\(271\) | −4.00252 | −0.243136 | −0.121568 | − | 0.992583i | \(-0.538792\pi\) | ||||
−0.121568 | + | 0.992583i | \(0.538792\pi\) | |||||||
\(272\) | 5.99610 | 0.363567 | ||||||||
\(273\) | 31.4757 | 1.90500 | ||||||||
\(274\) | −3.06082 | −0.184911 | ||||||||
\(275\) | 3.27315 | 0.197378 | ||||||||
\(276\) | −3.13493 | −0.188701 | ||||||||
\(277\) | −9.12487 | −0.548260 | −0.274130 | − | 0.961693i | \(-0.588390\pi\) | ||||
−0.274130 | + | 0.961693i | \(0.588390\pi\) | |||||||
\(278\) | 14.0439 | 0.842299 | ||||||||
\(279\) | −13.3196 | −0.797424 | ||||||||
\(280\) | −4.73446 | −0.282938 | ||||||||
\(281\) | 18.9942 | 1.13310 | 0.566550 | − | 0.824027i | \(-0.308278\pi\) | ||||
0.566550 | + | 0.824027i | \(0.308278\pi\) | |||||||
\(282\) | −26.2159 | −1.56113 | ||||||||
\(283\) | −1.92640 | −0.114513 | −0.0572564 | − | 0.998360i | \(-0.518235\pi\) | ||||
−0.0572564 | + | 0.998360i | \(0.518235\pi\) | |||||||
\(284\) | 8.88877 | 0.527452 | ||||||||
\(285\) | −43.0486 | −2.54998 | ||||||||
\(286\) | −15.4079 | −0.911090 | ||||||||
\(287\) | 11.5392 | 0.681140 | ||||||||
\(288\) | 6.82778 | 0.402331 | ||||||||
\(289\) | 18.9532 | 1.11489 | ||||||||
\(290\) | 20.9057 | 1.22763 | ||||||||
\(291\) | 40.5864 | 2.37922 | ||||||||
\(292\) | −5.44770 | −0.318803 | ||||||||
\(293\) | −13.3569 | −0.780321 | −0.390160 | − | 0.920747i | \(-0.627580\pi\) | ||||
−0.390160 | + | 0.920747i | \(0.627580\pi\) | |||||||
\(294\) | 4.75951 | 0.277580 | ||||||||
\(295\) | 4.49748 | 0.261853 | ||||||||
\(296\) | −10.9865 | −0.638578 | ||||||||
\(297\) | 43.1153 | 2.50181 | ||||||||
\(298\) | −19.7560 | −1.14443 | ||||||||
\(299\) | 4.28832 | 0.248000 | ||||||||
\(300\) | 2.85586 | 0.164883 | ||||||||
\(301\) | 21.5034 | 1.23943 | ||||||||
\(302\) | 3.09790 | 0.178264 | ||||||||
\(303\) | −53.6822 | −3.08396 | ||||||||
\(304\) | 6.79081 | 0.389480 | ||||||||
\(305\) | −8.68171 | −0.497113 | ||||||||
\(306\) | 40.9400 | 2.34039 | ||||||||
\(307\) | −6.71898 | −0.383473 | −0.191736 | − | 0.981446i | \(-0.561412\pi\) | ||||
−0.191736 | + | 0.981446i | \(0.561412\pi\) | |||||||
\(308\) | 8.41236 | 0.479339 | ||||||||
\(309\) | −38.6571 | −2.19912 | ||||||||
\(310\) | −3.94477 | −0.224048 | ||||||||
\(311\) | −14.3771 | −0.815250 | −0.407625 | − | 0.913149i | \(-0.633643\pi\) | ||||
−0.407625 | + | 0.913149i | \(0.633643\pi\) | |||||||
\(312\) | −13.4436 | −0.761093 | ||||||||
\(313\) | −1.09589 | −0.0619435 | −0.0309718 | − | 0.999520i | \(-0.509860\pi\) | ||||
−0.0309718 | + | 0.999520i | \(0.509860\pi\) | |||||||
\(314\) | −13.4885 | −0.761197 | ||||||||
\(315\) | −32.3259 | −1.82136 | ||||||||
\(316\) | −12.0384 | −0.677212 | ||||||||
\(317\) | 10.9286 | 0.613814 | 0.306907 | − | 0.951740i | \(-0.400706\pi\) | ||||
0.306907 | + | 0.951740i | \(0.400706\pi\) | |||||||
\(318\) | −34.5750 | −1.93887 | ||||||||
\(319\) | −37.1461 | −2.07978 | ||||||||
\(320\) | 2.02213 | 0.113041 | ||||||||
\(321\) | −31.3902 | −1.75203 | ||||||||
\(322\) | −2.34132 | −0.130477 | ||||||||
\(323\) | 40.7184 | 2.26563 | ||||||||
\(324\) | 17.1352 | 0.951958 | ||||||||
\(325\) | −3.90657 | −0.216698 | ||||||||
\(326\) | 17.8366 | 0.987876 | ||||||||
\(327\) | −28.9214 | −1.59936 | ||||||||
\(328\) | −4.92852 | −0.272132 | ||||||||
\(329\) | −19.5793 | −1.07944 | ||||||||
\(330\) | 22.7769 | 1.25383 | ||||||||
\(331\) | 6.91316 | 0.379982 | 0.189991 | − | 0.981786i | \(-0.439154\pi\) | ||||
0.189991 | + | 0.981786i | \(0.439154\pi\) | |||||||
\(332\) | 1.70720 | 0.0936950 | ||||||||
\(333\) | −75.0135 | −4.11072 | ||||||||
\(334\) | 9.99391 | 0.546842 | ||||||||
\(335\) | −10.0618 | −0.549737 | ||||||||
\(336\) | 7.33987 | 0.400423 | ||||||||
\(337\) | −7.10751 | −0.387171 | −0.193585 | − | 0.981083i | \(-0.562012\pi\) | ||||
−0.193585 | + | 0.981083i | \(0.562012\pi\) | |||||||
\(338\) | 5.38968 | 0.293160 | ||||||||
\(339\) | 36.3143 | 1.97232 | ||||||||
\(340\) | 12.1249 | 0.657565 | ||||||||
\(341\) | 7.00920 | 0.379570 | ||||||||
\(342\) | 46.3662 | 2.50720 | ||||||||
\(343\) | 19.9439 | 1.07687 | ||||||||
\(344\) | −9.18429 | −0.495184 | ||||||||
\(345\) | −6.33924 | −0.341293 | ||||||||
\(346\) | 5.77748 | 0.310599 | ||||||||
\(347\) | −20.8014 | −1.11668 | −0.558340 | − | 0.829613i | \(-0.688561\pi\) | ||||
−0.558340 | + | 0.829613i | \(0.688561\pi\) | |||||||
\(348\) | −32.4103 | −1.73738 | ||||||||
\(349\) | 8.76047 | 0.468937 | 0.234469 | − | 0.972124i | \(-0.424665\pi\) | ||||
0.234469 | + | 0.972124i | \(0.424665\pi\) | |||||||
\(350\) | 2.13290 | 0.114008 | ||||||||
\(351\) | −51.4591 | −2.74668 | ||||||||
\(352\) | −3.59300 | −0.191507 | ||||||||
\(353\) | 22.1071 | 1.17664 | 0.588320 | − | 0.808628i | \(-0.299790\pi\) | ||||
0.588320 | + | 0.808628i | \(0.299790\pi\) | |||||||
\(354\) | −6.97248 | −0.370583 | ||||||||
\(355\) | 17.9743 | 0.953975 | ||||||||
\(356\) | 18.2344 | 0.966421 | ||||||||
\(357\) | 44.0106 | 2.32929 | ||||||||
\(358\) | 6.59095 | 0.348342 | ||||||||
\(359\) | 10.0410 | 0.529942 | 0.264971 | − | 0.964256i | \(-0.414638\pi\) | ||||
0.264971 | + | 0.964256i | \(0.414638\pi\) | |||||||
\(360\) | 13.8067 | 0.727676 | ||||||||
\(361\) | 27.1152 | 1.42711 | ||||||||
\(362\) | 25.0328 | 1.31570 | ||||||||
\(363\) | −5.98658 | −0.314214 | ||||||||
\(364\) | −10.0403 | −0.526256 | ||||||||
\(365\) | −11.0160 | −0.576603 | ||||||||
\(366\) | 13.4593 | 0.703530 | ||||||||
\(367\) | 10.2317 | 0.534092 | 0.267046 | − | 0.963684i | \(-0.413952\pi\) | ||||
0.267046 | + | 0.963684i | \(0.413952\pi\) | |||||||
\(368\) | 1.00000 | 0.0521286 | ||||||||
\(369\) | −33.6509 | −1.75179 | ||||||||
\(370\) | −22.2162 | −1.15496 | ||||||||
\(371\) | −25.8223 | −1.34063 | ||||||||
\(372\) | 6.11560 | 0.317079 | ||||||||
\(373\) | 32.6683 | 1.69150 | 0.845751 | − | 0.533577i | \(-0.179153\pi\) | ||||
0.845751 | + | 0.533577i | \(0.179153\pi\) | |||||||
\(374\) | −21.5440 | −1.11401 | ||||||||
\(375\) | 37.4711 | 1.93500 | ||||||||
\(376\) | 8.36252 | 0.431264 | ||||||||
\(377\) | 44.3346 | 2.28335 | ||||||||
\(378\) | 28.0954 | 1.44507 | ||||||||
\(379\) | 25.9716 | 1.33407 | 0.667037 | − | 0.745025i | \(-0.267562\pi\) | ||||
0.667037 | + | 0.745025i | \(0.267562\pi\) | |||||||
\(380\) | 13.7319 | 0.704433 | ||||||||
\(381\) | 30.4552 | 1.56027 | ||||||||
\(382\) | 7.84380 | 0.401324 | ||||||||
\(383\) | 19.0461 | 0.973212 | 0.486606 | − | 0.873621i | \(-0.338235\pi\) | ||||
0.486606 | + | 0.873621i | \(0.338235\pi\) | |||||||
\(384\) | −3.13493 | −0.159979 | ||||||||
\(385\) | 17.0109 | 0.866956 | ||||||||
\(386\) | 23.3871 | 1.19037 | ||||||||
\(387\) | −62.7083 | −3.18764 | ||||||||
\(388\) | −12.9465 | −0.657260 | ||||||||
\(389\) | −13.1330 | −0.665870 | −0.332935 | − | 0.942950i | \(-0.608039\pi\) | ||||
−0.332935 | + | 0.942950i | \(0.608039\pi\) | |||||||
\(390\) | −27.1847 | −1.37655 | ||||||||
\(391\) | 5.99610 | 0.303236 | ||||||||
\(392\) | −1.51822 | −0.0766816 | ||||||||
\(393\) | −3.13493 | −0.158136 | ||||||||
\(394\) | −19.8122 | −0.998125 | ||||||||
\(395\) | −24.3432 | −1.22484 | ||||||||
\(396\) | −24.5322 | −1.23279 | ||||||||
\(397\) | −10.8982 | −0.546965 | −0.273482 | − | 0.961877i | \(-0.588176\pi\) | ||||
−0.273482 | + | 0.961877i | \(0.588176\pi\) | |||||||
\(398\) | 6.30432 | 0.316007 | ||||||||
\(399\) | 49.8437 | 2.49531 | ||||||||
\(400\) | −0.910980 | −0.0455490 | ||||||||
\(401\) | −2.95607 | −0.147619 | −0.0738094 | − | 0.997272i | \(-0.523516\pi\) | ||||
−0.0738094 | + | 0.997272i | \(0.523516\pi\) | |||||||
\(402\) | 15.5990 | 0.778006 | ||||||||
\(403\) | −8.36563 | −0.416722 | ||||||||
\(404\) | 17.1239 | 0.851946 | ||||||||
\(405\) | 34.6497 | 1.72176 | ||||||||
\(406\) | −24.2057 | −1.20131 | ||||||||
\(407\) | 39.4745 | 1.95668 | ||||||||
\(408\) | −18.7973 | −0.930607 | ||||||||
\(409\) | 0.901560 | 0.0445793 | 0.0222896 | − | 0.999752i | \(-0.492904\pi\) | ||||
0.0222896 | + | 0.999752i | \(0.492904\pi\) | |||||||
\(410\) | −9.96612 | −0.492192 | ||||||||
\(411\) | 9.59547 | 0.473310 | ||||||||
\(412\) | 12.3311 | 0.607509 | ||||||||
\(413\) | −5.20739 | −0.256239 | ||||||||
\(414\) | 6.82778 | 0.335567 | ||||||||
\(415\) | 3.45219 | 0.169461 | ||||||||
\(416\) | 4.28832 | 0.210252 | ||||||||
\(417\) | −44.0267 | −2.15600 | ||||||||
\(418\) | −24.3994 | −1.19341 | ||||||||
\(419\) | 11.8234 | 0.577611 | 0.288806 | − | 0.957388i | \(-0.406742\pi\) | ||||
0.288806 | + | 0.957388i | \(0.406742\pi\) | |||||||
\(420\) | 14.8422 | 0.724225 | ||||||||
\(421\) | −37.1874 | −1.81240 | −0.906201 | − | 0.422848i | \(-0.861030\pi\) | ||||
−0.906201 | + | 0.422848i | \(0.861030\pi\) | |||||||
\(422\) | −16.9750 | −0.826330 | ||||||||
\(423\) | 57.0975 | 2.77617 | ||||||||
\(424\) | 11.0290 | 0.535614 | ||||||||
\(425\) | −5.46233 | −0.264962 | ||||||||
\(426\) | −27.8657 | −1.35010 | ||||||||
\(427\) | 10.0521 | 0.486455 | ||||||||
\(428\) | 10.0130 | 0.483999 | ||||||||
\(429\) | 48.3028 | 2.33208 | ||||||||
\(430\) | −18.5719 | −0.895614 | ||||||||
\(431\) | 14.1521 | 0.681681 | 0.340841 | − | 0.940121i | \(-0.389288\pi\) | ||||
0.340841 | + | 0.940121i | \(0.389288\pi\) | |||||||
\(432\) | −11.9998 | −0.577342 | ||||||||
\(433\) | 14.0268 | 0.674087 | 0.337044 | − | 0.941489i | \(-0.390573\pi\) | ||||
0.337044 | + | 0.941489i | \(0.390573\pi\) | |||||||
\(434\) | 4.56744 | 0.219244 | ||||||||
\(435\) | −65.5380 | −3.14231 | ||||||||
\(436\) | 9.22553 | 0.441823 | ||||||||
\(437\) | 6.79081 | 0.324849 | ||||||||
\(438\) | 17.0782 | 0.816026 | ||||||||
\(439\) | 4.50747 | 0.215130 | 0.107565 | − | 0.994198i | \(-0.465695\pi\) | ||||
0.107565 | + | 0.994198i | \(0.465695\pi\) | |||||||
\(440\) | −7.26552 | −0.346370 | ||||||||
\(441\) | −10.3661 | −0.493622 | ||||||||
\(442\) | 25.7132 | 1.22305 | ||||||||
\(443\) | 32.9971 | 1.56774 | 0.783870 | − | 0.620925i | \(-0.213243\pi\) | ||||
0.783870 | + | 0.620925i | \(0.213243\pi\) | |||||||
\(444\) | 34.4420 | 1.63454 | ||||||||
\(445\) | 36.8724 | 1.74792 | ||||||||
\(446\) | −4.11278 | −0.194746 | ||||||||
\(447\) | 61.9336 | 2.92936 | ||||||||
\(448\) | −2.34132 | −0.110617 | ||||||||
\(449\) | −12.3225 | −0.581535 | −0.290767 | − | 0.956794i | \(-0.593911\pi\) | ||||
−0.290767 | + | 0.956794i | \(0.593911\pi\) | |||||||
\(450\) | −6.21997 | −0.293212 | ||||||||
\(451\) | 17.7082 | 0.833845 | ||||||||
\(452\) | −11.5838 | −0.544855 | ||||||||
\(453\) | −9.71168 | −0.456295 | ||||||||
\(454\) | 25.3339 | 1.18898 | ||||||||
\(455\) | −20.3029 | −0.951814 | ||||||||
\(456\) | −21.2887 | −0.996936 | ||||||||
\(457\) | 13.9556 | 0.652814 | 0.326407 | − | 0.945229i | \(-0.394162\pi\) | ||||
0.326407 | + | 0.945229i | \(0.394162\pi\) | |||||||
\(458\) | −10.9457 | −0.511460 | ||||||||
\(459\) | −71.9521 | −3.35844 | ||||||||
\(460\) | 2.02213 | 0.0942824 | ||||||||
\(461\) | 31.8816 | 1.48487 | 0.742437 | − | 0.669916i | \(-0.233670\pi\) | ||||
0.742437 | + | 0.669916i | \(0.233670\pi\) | |||||||
\(462\) | −26.3722 | −1.22694 | ||||||||
\(463\) | 1.86016 | 0.0864488 | 0.0432244 | − | 0.999065i | \(-0.486237\pi\) | ||||
0.0432244 | + | 0.999065i | \(0.486237\pi\) | |||||||
\(464\) | 10.3385 | 0.479951 | ||||||||
\(465\) | 12.3666 | 0.573485 | ||||||||
\(466\) | 18.9687 | 0.878706 | ||||||||
\(467\) | −33.5702 | −1.55345 | −0.776723 | − | 0.629843i | \(-0.783119\pi\) | ||||
−0.776723 | + | 0.629843i | \(0.783119\pi\) | |||||||
\(468\) | 29.2797 | 1.35345 | ||||||||
\(469\) | 11.6501 | 0.537951 | ||||||||
\(470\) | 16.9101 | 0.780006 | ||||||||
\(471\) | 42.2853 | 1.94841 | ||||||||
\(472\) | 2.22413 | 0.102374 | ||||||||
\(473\) | 32.9991 | 1.51730 | ||||||||
\(474\) | 37.7395 | 1.73343 | ||||||||
\(475\) | −6.18630 | −0.283847 | ||||||||
\(476\) | −14.0388 | −0.643467 | ||||||||
\(477\) | 75.3034 | 3.44790 | ||||||||
\(478\) | 6.77067 | 0.309683 | ||||||||
\(479\) | −30.8222 | −1.40830 | −0.704151 | − | 0.710050i | \(-0.748672\pi\) | ||||
−0.704151 | + | 0.710050i | \(0.748672\pi\) | |||||||
\(480\) | −6.33924 | −0.289345 | ||||||||
\(481\) | −47.1137 | −2.14820 | ||||||||
\(482\) | 11.6269 | 0.529592 | ||||||||
\(483\) | 7.33987 | 0.333976 | ||||||||
\(484\) | 1.90964 | 0.0868018 | ||||||||
\(485\) | −26.1796 | −1.18875 | ||||||||
\(486\) | −17.7183 | −0.803720 | ||||||||
\(487\) | 8.91092 | 0.403792 | 0.201896 | − | 0.979407i | \(-0.435290\pi\) | ||||
0.201896 | + | 0.979407i | \(0.435290\pi\) | |||||||
\(488\) | −4.29334 | −0.194351 | ||||||||
\(489\) | −55.9164 | −2.52863 | ||||||||
\(490\) | −3.07004 | −0.138690 | ||||||||
\(491\) | 32.9441 | 1.48675 | 0.743373 | − | 0.668877i | \(-0.233225\pi\) | ||||
0.743373 | + | 0.668877i | \(0.233225\pi\) | |||||||
\(492\) | 15.4506 | 0.696565 | ||||||||
\(493\) | 61.9904 | 2.79191 | ||||||||
\(494\) | 29.1212 | 1.31022 | ||||||||
\(495\) | −49.6074 | −2.22969 | ||||||||
\(496\) | −1.95079 | −0.0875933 | ||||||||
\(497\) | −20.8115 | −0.933522 | ||||||||
\(498\) | −5.35196 | −0.239827 | ||||||||
\(499\) | 20.2249 | 0.905392 | 0.452696 | − | 0.891665i | \(-0.350462\pi\) | ||||
0.452696 | + | 0.891665i | \(0.350462\pi\) | |||||||
\(500\) | −11.9528 | −0.534545 | ||||||||
\(501\) | −31.3302 | −1.39973 | ||||||||
\(502\) | −13.2512 | −0.591432 | ||||||||
\(503\) | 2.02131 | 0.0901258 | 0.0450629 | − | 0.998984i | \(-0.485651\pi\) | ||||
0.0450629 | + | 0.998984i | \(0.485651\pi\) | |||||||
\(504\) | −15.9860 | −0.712074 | ||||||||
\(505\) | 34.6268 | 1.54087 | ||||||||
\(506\) | −3.59300 | −0.159728 | ||||||||
\(507\) | −16.8963 | −0.750390 | ||||||||
\(508\) | −9.71481 | −0.431025 | ||||||||
\(509\) | −12.8645 | −0.570209 | −0.285104 | − | 0.958496i | \(-0.592028\pi\) | ||||
−0.285104 | + | 0.958496i | \(0.592028\pi\) | |||||||
\(510\) | −38.0107 | −1.68314 | ||||||||
\(511\) | 12.7548 | 0.564240 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −81.4886 | −3.59781 | ||||||||
\(514\) | 3.10580 | 0.136991 | ||||||||
\(515\) | 24.9351 | 1.09877 | ||||||||
\(516\) | 28.7921 | 1.26750 | ||||||||
\(517\) | −30.0465 | −1.32144 | ||||||||
\(518\) | 25.7230 | 1.13020 | ||||||||
\(519\) | −18.1120 | −0.795028 | ||||||||
\(520\) | 8.67155 | 0.380273 | ||||||||
\(521\) | 6.78749 | 0.297365 | 0.148683 | − | 0.988885i | \(-0.452497\pi\) | ||||
0.148683 | + | 0.988885i | \(0.452497\pi\) | |||||||
\(522\) | 70.5888 | 3.08959 | ||||||||
\(523\) | −0.834817 | −0.0365040 | −0.0182520 | − | 0.999833i | \(-0.505810\pi\) | ||||
−0.0182520 | + | 0.999833i | \(0.505810\pi\) | |||||||
\(524\) | 1.00000 | 0.0436852 | ||||||||
\(525\) | −6.68648 | −0.291822 | ||||||||
\(526\) | 8.07948 | 0.352282 | ||||||||
\(527\) | −11.6972 | −0.509536 | ||||||||
\(528\) | 11.2638 | 0.490194 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | 22.3020 | 0.968738 | ||||||||
\(531\) | 15.1858 | 0.659009 | ||||||||
\(532\) | −15.8995 | −0.689330 | ||||||||
\(533\) | −21.1351 | −0.915461 | ||||||||
\(534\) | −57.1635 | −2.47371 | ||||||||
\(535\) | 20.2477 | 0.875384 | ||||||||
\(536\) | −4.97586 | −0.214924 | ||||||||
\(537\) | −20.6622 | −0.891638 | ||||||||
\(538\) | −6.52400 | −0.281270 | ||||||||
\(539\) | 5.45496 | 0.234962 | ||||||||
\(540\) | −24.2652 | −1.04421 | ||||||||
\(541\) | 9.76004 | 0.419617 | 0.209808 | − | 0.977743i | \(-0.432716\pi\) | ||||
0.209808 | + | 0.977743i | \(0.432716\pi\) | |||||||
\(542\) | −4.00252 | −0.171923 | ||||||||
\(543\) | −78.4762 | −3.36774 | ||||||||
\(544\) | 5.99610 | 0.257080 | ||||||||
\(545\) | 18.6552 | 0.799103 | ||||||||
\(546\) | 31.4757 | 1.34704 | ||||||||
\(547\) | −3.52187 | −0.150584 | −0.0752921 | − | 0.997162i | \(-0.523989\pi\) | ||||
−0.0752921 | + | 0.997162i | \(0.523989\pi\) | |||||||
\(548\) | −3.06082 | −0.130752 | ||||||||
\(549\) | −29.3140 | −1.25109 | ||||||||
\(550\) | 3.27315 | 0.139568 | ||||||||
\(551\) | 70.2066 | 2.99090 | ||||||||
\(552\) | −3.13493 | −0.133431 | ||||||||
\(553\) | 28.1857 | 1.19858 | ||||||||
\(554\) | −9.12487 | −0.387679 | ||||||||
\(555\) | 69.6462 | 2.95632 | ||||||||
\(556\) | 14.0439 | 0.595595 | ||||||||
\(557\) | 34.5875 | 1.46552 | 0.732759 | − | 0.680488i | \(-0.238232\pi\) | ||||
0.732759 | + | 0.680488i | \(0.238232\pi\) | |||||||
\(558\) | −13.3196 | −0.563864 | ||||||||
\(559\) | −39.3852 | −1.66582 | ||||||||
\(560\) | −4.73446 | −0.200067 | ||||||||
\(561\) | 67.5388 | 2.85149 | ||||||||
\(562\) | 18.9942 | 0.801222 | ||||||||
\(563\) | −44.6306 | −1.88095 | −0.940477 | − | 0.339856i | \(-0.889622\pi\) | ||||
−0.940477 | + | 0.339856i | \(0.889622\pi\) | |||||||
\(564\) | −26.2159 | −1.10389 | ||||||||
\(565\) | −23.4239 | −0.985452 | ||||||||
\(566\) | −1.92640 | −0.0809728 | ||||||||
\(567\) | −40.1191 | −1.68484 | ||||||||
\(568\) | 8.88877 | 0.372965 | ||||||||
\(569\) | −12.6249 | −0.529265 | −0.264632 | − | 0.964349i | \(-0.585251\pi\) | ||||
−0.264632 | + | 0.964349i | \(0.585251\pi\) | |||||||
\(570\) | −43.0486 | −1.80311 | ||||||||
\(571\) | 11.4046 | 0.477267 | 0.238633 | − | 0.971110i | \(-0.423301\pi\) | ||||
0.238633 | + | 0.971110i | \(0.423301\pi\) | |||||||
\(572\) | −15.4079 | −0.644238 | ||||||||
\(573\) | −24.5898 | −1.02725 | ||||||||
\(574\) | 11.5392 | 0.481639 | ||||||||
\(575\) | −0.910980 | −0.0379905 | ||||||||
\(576\) | 6.82778 | 0.284491 | ||||||||
\(577\) | 16.0144 | 0.666687 | 0.333343 | − | 0.942805i | \(-0.391823\pi\) | ||||
0.333343 | + | 0.942805i | \(0.391823\pi\) | |||||||
\(578\) | 18.9532 | 0.788348 | ||||||||
\(579\) | −73.3170 | −3.04695 | ||||||||
\(580\) | 20.9057 | 0.868064 | ||||||||
\(581\) | −3.99711 | −0.165828 | ||||||||
\(582\) | 40.5864 | 1.68236 | ||||||||
\(583\) | −39.6271 | −1.64119 | ||||||||
\(584\) | −5.44770 | −0.225428 | ||||||||
\(585\) | 59.2074 | 2.44793 | ||||||||
\(586\) | −13.3569 | −0.551770 | ||||||||
\(587\) | 4.72074 | 0.194846 | 0.0974229 | − | 0.995243i | \(-0.468940\pi\) | ||||
0.0974229 | + | 0.995243i | \(0.468940\pi\) | |||||||
\(588\) | 4.75951 | 0.196279 | ||||||||
\(589\) | −13.2475 | −0.545853 | ||||||||
\(590\) | 4.49748 | 0.185158 | ||||||||
\(591\) | 62.1099 | 2.55486 | ||||||||
\(592\) | −10.9865 | −0.451543 | ||||||||
\(593\) | −24.8948 | −1.02231 | −0.511154 | − | 0.859489i | \(-0.670782\pi\) | ||||
−0.511154 | + | 0.859489i | \(0.670782\pi\) | |||||||
\(594\) | 43.1153 | 1.76904 | ||||||||
\(595\) | −28.3883 | −1.16381 | ||||||||
\(596\) | −19.7560 | −0.809237 | ||||||||
\(597\) | −19.7636 | −0.808870 | ||||||||
\(598\) | 4.28832 | 0.175362 | ||||||||
\(599\) | 8.29688 | 0.339001 | 0.169501 | − | 0.985530i | \(-0.445785\pi\) | ||||
0.169501 | + | 0.985530i | \(0.445785\pi\) | |||||||
\(600\) | 2.85586 | 0.116590 | ||||||||
\(601\) | 28.6966 | 1.17056 | 0.585279 | − | 0.810832i | \(-0.300985\pi\) | ||||
0.585279 | + | 0.810832i | \(0.300985\pi\) | |||||||
\(602\) | 21.5034 | 0.876412 | ||||||||
\(603\) | −33.9741 | −1.38353 | ||||||||
\(604\) | 3.09790 | 0.126052 | ||||||||
\(605\) | 3.86154 | 0.156994 | ||||||||
\(606\) | −53.6822 | −2.18069 | ||||||||
\(607\) | −31.4413 | −1.27616 | −0.638082 | − | 0.769969i | \(-0.720272\pi\) | ||||
−0.638082 | + | 0.769969i | \(0.720272\pi\) | |||||||
\(608\) | 6.79081 | 0.275404 | ||||||||
\(609\) | 75.8830 | 3.07493 | ||||||||
\(610\) | −8.68171 | −0.351512 | ||||||||
\(611\) | 35.8612 | 1.45079 | ||||||||
\(612\) | 40.9400 | 1.65490 | ||||||||
\(613\) | 18.7248 | 0.756288 | 0.378144 | − | 0.925747i | \(-0.376562\pi\) | ||||
0.378144 | + | 0.925747i | \(0.376562\pi\) | |||||||
\(614\) | −6.71898 | −0.271156 | ||||||||
\(615\) | 31.2431 | 1.25984 | ||||||||
\(616\) | 8.41236 | 0.338944 | ||||||||
\(617\) | −29.2830 | −1.17889 | −0.589444 | − | 0.807809i | \(-0.700653\pi\) | ||||
−0.589444 | + | 0.807809i | \(0.700653\pi\) | |||||||
\(618\) | −38.6571 | −1.55501 | ||||||||
\(619\) | −29.3188 | −1.17842 | −0.589212 | − | 0.807978i | \(-0.700562\pi\) | ||||
−0.589212 | + | 0.807978i | \(0.700562\pi\) | |||||||
\(620\) | −3.94477 | −0.158426 | ||||||||
\(621\) | −11.9998 | −0.481536 | ||||||||
\(622\) | −14.3771 | −0.576469 | ||||||||
\(623\) | −42.6925 | −1.71044 | ||||||||
\(624\) | −13.4436 | −0.538174 | ||||||||
\(625\) | −19.6152 | −0.784609 | ||||||||
\(626\) | −1.09589 | −0.0438007 | ||||||||
\(627\) | 76.4903 | 3.05473 | ||||||||
\(628\) | −13.4885 | −0.538248 | ||||||||
\(629\) | −65.8762 | −2.62666 | ||||||||
\(630\) | −32.3259 | −1.28789 | ||||||||
\(631\) | −43.6294 | −1.73686 | −0.868429 | − | 0.495813i | \(-0.834870\pi\) | ||||
−0.868429 | + | 0.495813i | \(0.834870\pi\) | |||||||
\(632\) | −12.0384 | −0.478861 | ||||||||
\(633\) | 53.2154 | 2.11512 | ||||||||
\(634\) | 10.9286 | 0.434032 | ||||||||
\(635\) | −19.6446 | −0.779573 | ||||||||
\(636\) | −34.5750 | −1.37099 | ||||||||
\(637\) | −6.51060 | −0.257960 | ||||||||
\(638\) | −37.1461 | −1.47063 | ||||||||
\(639\) | 60.6906 | 2.40088 | ||||||||
\(640\) | 2.02213 | 0.0799318 | ||||||||
\(641\) | −20.1519 | −0.795953 | −0.397977 | − | 0.917396i | \(-0.630287\pi\) | ||||
−0.397977 | + | 0.917396i | \(0.630287\pi\) | |||||||
\(642\) | −31.3902 | −1.23887 | ||||||||
\(643\) | −32.5778 | −1.28474 | −0.642372 | − | 0.766393i | \(-0.722050\pi\) | ||||
−0.642372 | + | 0.766393i | \(0.722050\pi\) | |||||||
\(644\) | −2.34132 | −0.0922610 | ||||||||
\(645\) | 58.2214 | 2.29247 | ||||||||
\(646\) | 40.7184 | 1.60204 | ||||||||
\(647\) | 8.70611 | 0.342273 | 0.171136 | − | 0.985247i | \(-0.445256\pi\) | ||||
0.171136 | + | 0.985247i | \(0.445256\pi\) | |||||||
\(648\) | 17.1352 | 0.673136 | ||||||||
\(649\) | −7.99128 | −0.313685 | ||||||||
\(650\) | −3.90657 | −0.153228 | ||||||||
\(651\) | −14.3186 | −0.561190 | ||||||||
\(652\) | 17.8366 | 0.698534 | ||||||||
\(653\) | 3.91741 | 0.153300 | 0.0766500 | − | 0.997058i | \(-0.475578\pi\) | ||||
0.0766500 | + | 0.997058i | \(0.475578\pi\) | |||||||
\(654\) | −28.9214 | −1.13092 | ||||||||
\(655\) | 2.02213 | 0.0790113 | ||||||||
\(656\) | −4.92852 | −0.192426 | ||||||||
\(657\) | −37.1957 | −1.45114 | ||||||||
\(658\) | −19.5793 | −0.763282 | ||||||||
\(659\) | 8.23215 | 0.320679 | 0.160340 | − | 0.987062i | \(-0.448741\pi\) | ||||
0.160340 | + | 0.987062i | \(0.448741\pi\) | |||||||
\(660\) | 22.7769 | 0.886589 | ||||||||
\(661\) | −5.15459 | −0.200490 | −0.100245 | − | 0.994963i | \(-0.531963\pi\) | ||||
−0.100245 | + | 0.994963i | \(0.531963\pi\) | |||||||
\(662\) | 6.91316 | 0.268688 | ||||||||
\(663\) | −80.6090 | −3.13059 | ||||||||
\(664\) | 1.70720 | 0.0662524 | ||||||||
\(665\) | −32.1508 | −1.24676 | ||||||||
\(666\) | −75.0135 | −2.90672 | ||||||||
\(667\) | 10.3385 | 0.400307 | ||||||||
\(668\) | 9.99391 | 0.386676 | ||||||||
\(669\) | 12.8933 | 0.498482 | ||||||||
\(670\) | −10.0618 | −0.388723 | ||||||||
\(671\) | 15.4260 | 0.595513 | ||||||||
\(672\) | 7.33987 | 0.283142 | ||||||||
\(673\) | −18.1232 | −0.698596 | −0.349298 | − | 0.937012i | \(-0.613580\pi\) | ||||
−0.349298 | + | 0.937012i | \(0.613580\pi\) | |||||||
\(674\) | −7.10751 | −0.273771 | ||||||||
\(675\) | 10.9316 | 0.420758 | ||||||||
\(676\) | 5.38968 | 0.207295 | ||||||||
\(677\) | −24.4218 | −0.938608 | −0.469304 | − | 0.883037i | \(-0.655495\pi\) | ||||
−0.469304 | + | 0.883037i | \(0.655495\pi\) | |||||||
\(678\) | 36.3143 | 1.39464 | ||||||||
\(679\) | 30.3120 | 1.16327 | ||||||||
\(680\) | 12.1249 | 0.464969 | ||||||||
\(681\) | −79.4200 | −3.04338 | ||||||||
\(682\) | 7.00920 | 0.268396 | ||||||||
\(683\) | 6.20507 | 0.237430 | 0.118715 | − | 0.992928i | \(-0.462122\pi\) | ||||
0.118715 | + | 0.992928i | \(0.462122\pi\) | |||||||
\(684\) | 46.3662 | 1.77286 | ||||||||
\(685\) | −6.18939 | −0.236485 | ||||||||
\(686\) | 19.9439 | 0.761461 | ||||||||
\(687\) | 34.3141 | 1.30916 | ||||||||
\(688\) | −9.18429 | −0.350148 | ||||||||
\(689\) | 47.2957 | 1.80182 | ||||||||
\(690\) | −6.33924 | −0.241331 | ||||||||
\(691\) | 37.0076 | 1.40784 | 0.703918 | − | 0.710282i | \(-0.251432\pi\) | ||||
0.703918 | + | 0.710282i | \(0.251432\pi\) | |||||||
\(692\) | 5.77748 | 0.219627 | ||||||||
\(693\) | 57.4378 | 2.18188 | ||||||||
\(694\) | −20.8014 | −0.789611 | ||||||||
\(695\) | 28.3987 | 1.07722 | ||||||||
\(696\) | −32.4103 | −1.22851 | ||||||||
\(697\) | −29.5519 | −1.11936 | ||||||||
\(698\) | 8.76047 | 0.331589 | ||||||||
\(699\) | −59.4654 | −2.24919 | ||||||||
\(700\) | 2.13290 | 0.0806159 | ||||||||
\(701\) | −17.4901 | −0.660593 | −0.330296 | − | 0.943877i | \(-0.607149\pi\) | ||||
−0.330296 | + | 0.943877i | \(0.607149\pi\) | |||||||
\(702\) | −51.4591 | −1.94220 | ||||||||
\(703\) | −74.6074 | −2.81387 | ||||||||
\(704\) | −3.59300 | −0.135416 | ||||||||
\(705\) | −53.0120 | −1.99655 | ||||||||
\(706\) | 22.1071 | 0.832010 | ||||||||
\(707\) | −40.0926 | −1.50784 | ||||||||
\(708\) | −6.97248 | −0.262042 | ||||||||
\(709\) | 0.0586086 | 0.00220109 | 0.00110055 | − | 0.999999i | \(-0.499650\pi\) | ||||
0.00110055 | + | 0.999999i | \(0.499650\pi\) | |||||||
\(710\) | 17.9743 | 0.674562 | ||||||||
\(711\) | −82.1955 | −3.08257 | ||||||||
\(712\) | 18.2344 | 0.683363 | ||||||||
\(713\) | −1.95079 | −0.0730578 | ||||||||
\(714\) | 44.0106 | 1.64705 | ||||||||
\(715\) | −31.1569 | −1.16520 | ||||||||
\(716\) | 6.59095 | 0.246315 | ||||||||
\(717\) | −21.2256 | −0.792684 | ||||||||
\(718\) | 10.0410 | 0.374725 | ||||||||
\(719\) | −1.21839 | −0.0454384 | −0.0227192 | − | 0.999742i | \(-0.507232\pi\) | ||||
−0.0227192 | + | 0.999742i | \(0.507232\pi\) | |||||||
\(720\) | 13.8067 | 0.514544 | ||||||||
\(721\) | −28.8710 | −1.07521 | ||||||||
\(722\) | 27.1152 | 1.00912 | ||||||||
\(723\) | −36.4496 | −1.35557 | ||||||||
\(724\) | 25.0328 | 0.930338 | ||||||||
\(725\) | −9.41813 | −0.349781 | ||||||||
\(726\) | −5.98658 | −0.222183 | ||||||||
\(727\) | −33.3268 | −1.23602 | −0.618011 | − | 0.786169i | \(-0.712061\pi\) | ||||
−0.618011 | + | 0.786169i | \(0.712061\pi\) | |||||||
\(728\) | −10.0403 | −0.372119 | ||||||||
\(729\) | 4.13995 | 0.153332 | ||||||||
\(730\) | −11.0160 | −0.407720 | ||||||||
\(731\) | −55.0699 | −2.03683 | ||||||||
\(732\) | 13.4593 | 0.497471 | ||||||||
\(733\) | −2.91060 | −0.107505 | −0.0537527 | − | 0.998554i | \(-0.517118\pi\) | ||||
−0.0537527 | + | 0.998554i | \(0.517118\pi\) | |||||||
\(734\) | 10.2317 | 0.377660 | ||||||||
\(735\) | 9.62435 | 0.355000 | ||||||||
\(736\) | 1.00000 | 0.0368605 | ||||||||
\(737\) | 17.8783 | 0.658554 | ||||||||
\(738\) | −33.6509 | −1.23871 | ||||||||
\(739\) | 25.8562 | 0.951137 | 0.475568 | − | 0.879679i | \(-0.342242\pi\) | ||||
0.475568 | + | 0.879679i | \(0.342242\pi\) | |||||||
\(740\) | −22.2162 | −0.816684 | ||||||||
\(741\) | −91.2928 | −3.35373 | ||||||||
\(742\) | −25.8223 | −0.947968 | ||||||||
\(743\) | 12.8688 | 0.472109 | 0.236055 | − | 0.971740i | \(-0.424146\pi\) | ||||
0.236055 | + | 0.971740i | \(0.424146\pi\) | |||||||
\(744\) | 6.11560 | 0.224209 | ||||||||
\(745\) | −39.9492 | −1.46363 | ||||||||
\(746\) | 32.6683 | 1.19607 | ||||||||
\(747\) | 11.6564 | 0.426486 | ||||||||
\(748\) | −21.5440 | −0.787725 | ||||||||
\(749\) | −23.4437 | −0.856616 | ||||||||
\(750\) | 37.4711 | 1.36825 | ||||||||
\(751\) | 13.0581 | 0.476498 | 0.238249 | − | 0.971204i | \(-0.423427\pi\) | ||||
0.238249 | + | 0.971204i | \(0.423427\pi\) | |||||||
\(752\) | 8.36252 | 0.304950 | ||||||||
\(753\) | 41.5417 | 1.51386 | ||||||||
\(754\) | 44.3346 | 1.61457 | ||||||||
\(755\) | 6.26436 | 0.227983 | ||||||||
\(756\) | 28.0954 | 1.02182 | ||||||||
\(757\) | −38.7414 | −1.40808 | −0.704040 | − | 0.710161i | \(-0.748622\pi\) | ||||
−0.704040 | + | 0.710161i | \(0.748622\pi\) | |||||||
\(758\) | 25.9716 | 0.943333 | ||||||||
\(759\) | 11.2638 | 0.408850 | ||||||||
\(760\) | 13.7319 | 0.498109 | ||||||||
\(761\) | 40.5719 | 1.47073 | 0.735364 | − | 0.677672i | \(-0.237011\pi\) | ||||
0.735364 | + | 0.677672i | \(0.237011\pi\) | |||||||
\(762\) | 30.4552 | 1.10328 | ||||||||
\(763\) | −21.5999 | −0.781969 | ||||||||
\(764\) | 7.84380 | 0.283779 | ||||||||
\(765\) | 82.7862 | 2.99314 | ||||||||
\(766\) | 19.0461 | 0.688165 | ||||||||
\(767\) | 9.53776 | 0.344389 | ||||||||
\(768\) | −3.13493 | −0.113122 | ||||||||
\(769\) | 31.1521 | 1.12337 | 0.561686 | − | 0.827350i | \(-0.310153\pi\) | ||||
0.561686 | + | 0.827350i | \(0.310153\pi\) | |||||||
\(770\) | 17.0109 | 0.613031 | ||||||||
\(771\) | −9.73646 | −0.350650 | ||||||||
\(772\) | 23.3871 | 0.841721 | ||||||||
\(773\) | 29.1632 | 1.04893 | 0.524463 | − | 0.851433i | \(-0.324266\pi\) | ||||
0.524463 | + | 0.851433i | \(0.324266\pi\) | |||||||
\(774\) | −62.7083 | −2.25400 | ||||||||
\(775\) | 1.77714 | 0.0638366 | ||||||||
\(776\) | −12.9465 | −0.464753 | ||||||||
\(777\) | −80.6397 | −2.89293 | ||||||||
\(778\) | −13.1330 | −0.470841 | ||||||||
\(779\) | −33.4687 | −1.19914 | ||||||||
\(780\) | −27.1847 | −0.973368 | ||||||||
\(781\) | −31.9373 | −1.14281 | ||||||||
\(782\) | 5.99610 | 0.214420 | ||||||||
\(783\) | −124.060 | −4.43353 | ||||||||
\(784\) | −1.51822 | −0.0542221 | ||||||||
\(785\) | −27.2754 | −0.973502 | ||||||||
\(786\) | −3.13493 | −0.111819 | ||||||||
\(787\) | −43.5272 | −1.55158 | −0.775789 | − | 0.630993i | \(-0.782648\pi\) | ||||
−0.775789 | + | 0.630993i | \(0.782648\pi\) | |||||||
\(788\) | −19.8122 | −0.705781 | ||||||||
\(789\) | −25.3286 | −0.901722 | ||||||||
\(790\) | −24.3432 | −0.866093 | ||||||||
\(791\) | 27.1213 | 0.964323 | ||||||||
\(792\) | −24.5322 | −0.871714 | ||||||||
\(793\) | −18.4112 | −0.653802 | ||||||||
\(794\) | −10.8982 | −0.386762 | ||||||||
\(795\) | −69.9153 | −2.47964 | ||||||||
\(796\) | 6.30432 | 0.223451 | ||||||||
\(797\) | −34.5512 | −1.22387 | −0.611934 | − | 0.790909i | \(-0.709608\pi\) | ||||
−0.611934 | + | 0.790909i | \(0.709608\pi\) | |||||||
\(798\) | 49.8437 | 1.76445 | ||||||||
\(799\) | 50.1425 | 1.77391 | ||||||||
\(800\) | −0.910980 | −0.0322080 | ||||||||
\(801\) | 124.500 | 4.39901 | ||||||||
\(802\) | −2.95607 | −0.104382 | ||||||||
\(803\) | 19.5736 | 0.690737 | ||||||||
\(804\) | 15.5990 | 0.550133 | ||||||||
\(805\) | −4.73446 | −0.166868 | ||||||||
\(806\) | −8.36563 | −0.294667 | ||||||||
\(807\) | 20.4523 | 0.719955 | ||||||||
\(808\) | 17.1239 | 0.602417 | ||||||||
\(809\) | 25.8947 | 0.910410 | 0.455205 | − | 0.890387i | \(-0.349566\pi\) | ||||
0.455205 | + | 0.890387i | \(0.349566\pi\) | |||||||
\(810\) | 34.6497 | 1.21747 | ||||||||
\(811\) | −46.5567 | −1.63483 | −0.817414 | − | 0.576050i | \(-0.804593\pi\) | ||||
−0.817414 | + | 0.576050i | \(0.804593\pi\) | |||||||
\(812\) | −24.2057 | −0.849452 | ||||||||
\(813\) | 12.5476 | 0.440064 | ||||||||
\(814\) | 39.4745 | 1.38358 | ||||||||
\(815\) | 36.0679 | 1.26340 | ||||||||
\(816\) | −18.7973 | −0.658038 | ||||||||
\(817\) | −62.3688 | −2.18201 | ||||||||
\(818\) | 0.901560 | 0.0315223 | ||||||||
\(819\) | −68.5532 | −2.39544 | ||||||||
\(820\) | −9.96612 | −0.348032 | ||||||||
\(821\) | −1.79173 | −0.0625319 | −0.0312660 | − | 0.999511i | \(-0.509954\pi\) | ||||
−0.0312660 | + | 0.999511i | \(0.509954\pi\) | |||||||
\(822\) | 9.59547 | 0.334680 | ||||||||
\(823\) | −15.5143 | −0.540795 | −0.270398 | − | 0.962749i | \(-0.587155\pi\) | ||||
−0.270398 | + | 0.962749i | \(0.587155\pi\) | |||||||
\(824\) | 12.3311 | 0.429573 | ||||||||
\(825\) | −10.2611 | −0.357246 | ||||||||
\(826\) | −5.20739 | −0.181188 | ||||||||
\(827\) | 10.5268 | 0.366051 | 0.183025 | − | 0.983108i | \(-0.441411\pi\) | ||||
0.183025 | + | 0.983108i | \(0.441411\pi\) | |||||||
\(828\) | 6.82778 | 0.237282 | ||||||||
\(829\) | 13.3937 | 0.465182 | 0.232591 | − | 0.972575i | \(-0.425280\pi\) | ||||
0.232591 | + | 0.972575i | \(0.425280\pi\) | |||||||
\(830\) | 3.45219 | 0.119827 | ||||||||
\(831\) | 28.6058 | 0.992325 | ||||||||
\(832\) | 4.28832 | 0.148671 | ||||||||
\(833\) | −9.10338 | −0.315414 | ||||||||
\(834\) | −44.0267 | −1.52452 | ||||||||
\(835\) | 20.2090 | 0.699362 | ||||||||
\(836\) | −24.3994 | −0.843870 | ||||||||
\(837\) | 23.4092 | 0.809140 | ||||||||
\(838\) | 11.8234 | 0.408433 | ||||||||
\(839\) | 55.2141 | 1.90620 | 0.953101 | − | 0.302651i | \(-0.0978716\pi\) | ||||
0.953101 | + | 0.302651i | \(0.0978716\pi\) | |||||||
\(840\) | 14.8422 | 0.512104 | ||||||||
\(841\) | 77.8838 | 2.68565 | ||||||||
\(842\) | −37.1874 | −1.28156 | ||||||||
\(843\) | −59.5455 | −2.05086 | ||||||||
\(844\) | −16.9750 | −0.584304 | ||||||||
\(845\) | 10.8986 | 0.374925 | ||||||||
\(846\) | 57.0975 | 1.96305 | ||||||||
\(847\) | −4.47108 | −0.153628 | ||||||||
\(848\) | 11.0290 | 0.378736 | ||||||||
\(849\) | 6.03914 | 0.207263 | ||||||||
\(850\) | −5.46233 | −0.187356 | ||||||||
\(851\) | −10.9865 | −0.376613 | ||||||||
\(852\) | −27.8657 | −0.954662 | ||||||||
\(853\) | −21.2306 | −0.726921 | −0.363460 | − | 0.931610i | \(-0.618405\pi\) | ||||
−0.363460 | + | 0.931610i | \(0.618405\pi\) | |||||||
\(854\) | 10.0521 | 0.343976 | ||||||||
\(855\) | 93.7586 | 3.20648 | ||||||||
\(856\) | 10.0130 | 0.342239 | ||||||||
\(857\) | −25.1859 | −0.860335 | −0.430167 | − | 0.902749i | \(-0.641545\pi\) | ||||
−0.430167 | + | 0.902749i | \(0.641545\pi\) | |||||||
\(858\) | 48.3028 | 1.64903 | ||||||||
\(859\) | 43.7711 | 1.49345 | 0.746725 | − | 0.665133i | \(-0.231625\pi\) | ||||
0.746725 | + | 0.665133i | \(0.231625\pi\) | |||||||
\(860\) | −18.5719 | −0.633295 | ||||||||
\(861\) | −36.1747 | −1.23283 | ||||||||
\(862\) | 14.1521 | 0.482022 | ||||||||
\(863\) | −31.9504 | −1.08760 | −0.543802 | − | 0.839214i | \(-0.683016\pi\) | ||||
−0.543802 | + | 0.839214i | \(0.683016\pi\) | |||||||
\(864\) | −11.9998 | −0.408242 | ||||||||
\(865\) | 11.6828 | 0.397228 | ||||||||
\(866\) | 14.0268 | 0.476652 | ||||||||
\(867\) | −59.4168 | −2.01790 | ||||||||
\(868\) | 4.56744 | 0.155029 | ||||||||
\(869\) | 43.2539 | 1.46729 | ||||||||
\(870\) | −65.5380 | −2.22195 | ||||||||
\(871\) | −21.3381 | −0.723013 | ||||||||
\(872\) | 9.22553 | 0.312416 | ||||||||
\(873\) | −88.3960 | −2.99175 | ||||||||
\(874\) | 6.79081 | 0.229703 | ||||||||
\(875\) | 27.9853 | 0.946076 | ||||||||
\(876\) | 17.0782 | 0.577018 | ||||||||
\(877\) | −11.4696 | −0.387300 | −0.193650 | − | 0.981071i | \(-0.562033\pi\) | ||||
−0.193650 | + | 0.981071i | \(0.562033\pi\) | |||||||
\(878\) | 4.50747 | 0.152120 | ||||||||
\(879\) | 41.8731 | 1.41234 | ||||||||
\(880\) | −7.26552 | −0.244921 | ||||||||
\(881\) | −6.45788 | −0.217572 | −0.108786 | − | 0.994065i | \(-0.534696\pi\) | ||||
−0.108786 | + | 0.994065i | \(0.534696\pi\) | |||||||
\(882\) | −10.3661 | −0.349043 | ||||||||
\(883\) | −9.51765 | −0.320294 | −0.160147 | − | 0.987093i | \(-0.551197\pi\) | ||||
−0.160147 | + | 0.987093i | \(0.551197\pi\) | |||||||
\(884\) | 25.7132 | 0.864828 | ||||||||
\(885\) | −14.0993 | −0.473942 | ||||||||
\(886\) | 32.9971 | 1.10856 | ||||||||
\(887\) | −4.27284 | −0.143468 | −0.0717340 | − | 0.997424i | \(-0.522853\pi\) | ||||
−0.0717340 | + | 0.997424i | \(0.522853\pi\) | |||||||
\(888\) | 34.4420 | 1.15580 | ||||||||
\(889\) | 22.7455 | 0.762859 | ||||||||
\(890\) | 36.8724 | 1.23596 | ||||||||
\(891\) | −61.5669 | −2.06257 | ||||||||
\(892\) | −4.11278 | −0.137706 | ||||||||
\(893\) | 56.7883 | 1.90035 | ||||||||
\(894\) | 61.9336 | 2.07137 | ||||||||
\(895\) | 13.3278 | 0.445498 | ||||||||
\(896\) | −2.34132 | −0.0782180 | ||||||||
\(897\) | −13.4436 | −0.448868 | ||||||||
\(898\) | −12.3225 | −0.411207 | ||||||||
\(899\) | −20.1682 | −0.672648 | ||||||||
\(900\) | −6.21997 | −0.207332 | ||||||||
\(901\) | 66.1307 | 2.20313 | ||||||||
\(902\) | 17.7082 | 0.589617 | ||||||||
\(903\) | −67.4115 | −2.24332 | ||||||||
\(904\) | −11.5838 | −0.385270 | ||||||||
\(905\) | 50.6197 | 1.68266 | ||||||||
\(906\) | −9.71168 | −0.322649 | ||||||||
\(907\) | 33.7979 | 1.12224 | 0.561120 | − | 0.827734i | \(-0.310370\pi\) | ||||
0.561120 | + | 0.827734i | \(0.310370\pi\) | |||||||
\(908\) | 25.3339 | 0.840735 | ||||||||
\(909\) | 116.918 | 3.87793 | ||||||||
\(910\) | −20.3029 | −0.673034 | ||||||||
\(911\) | 28.1337 | 0.932112 | 0.466056 | − | 0.884755i | \(-0.345675\pi\) | ||||
0.466056 | + | 0.884755i | \(0.345675\pi\) | |||||||
\(912\) | −21.2887 | −0.704940 | ||||||||
\(913\) | −6.13398 | −0.203005 | ||||||||
\(914\) | 13.9556 | 0.461609 | ||||||||
\(915\) | 27.2165 | 0.899751 | ||||||||
\(916\) | −10.9457 | −0.361657 | ||||||||
\(917\) | −2.34132 | −0.0773172 | ||||||||
\(918\) | −71.9521 | −2.37477 | ||||||||
\(919\) | −9.90635 | −0.326780 | −0.163390 | − | 0.986562i | \(-0.552243\pi\) | ||||
−0.163390 | + | 0.986562i | \(0.552243\pi\) | |||||||
\(920\) | 2.02213 | 0.0666677 | ||||||||
\(921\) | 21.0635 | 0.694067 | ||||||||
\(922\) | 31.8816 | 1.04996 | ||||||||
\(923\) | 38.1179 | 1.25467 | ||||||||
\(924\) | −26.3722 | −0.867580 | ||||||||
\(925\) | 10.0085 | 0.329077 | ||||||||
\(926\) | 1.86016 | 0.0611285 | ||||||||
\(927\) | 84.1939 | 2.76529 | ||||||||
\(928\) | 10.3385 | 0.339377 | ||||||||
\(929\) | −27.2462 | −0.893920 | −0.446960 | − | 0.894554i | \(-0.647493\pi\) | ||||
−0.446960 | + | 0.894554i | \(0.647493\pi\) | |||||||
\(930\) | 12.3666 | 0.405515 | ||||||||
\(931\) | −10.3099 | −0.337895 | ||||||||
\(932\) | 18.9687 | 0.621339 | ||||||||
\(933\) | 45.0712 | 1.47556 | ||||||||
\(934\) | −33.5702 | −1.09845 | ||||||||
\(935\) | −43.5648 | −1.42472 | ||||||||
\(936\) | 29.2797 | 0.957037 | ||||||||
\(937\) | 49.5344 | 1.61822 | 0.809110 | − | 0.587658i | \(-0.199950\pi\) | ||||
0.809110 | + | 0.587658i | \(0.199950\pi\) | |||||||
\(938\) | 11.6501 | 0.380389 | ||||||||
\(939\) | 3.43555 | 0.112115 | ||||||||
\(940\) | 16.9101 | 0.551547 | ||||||||
\(941\) | −43.7960 | −1.42771 | −0.713855 | − | 0.700294i | \(-0.753052\pi\) | ||||
−0.713855 | + | 0.700294i | \(0.753052\pi\) | |||||||
\(942\) | 42.2853 | 1.37773 | ||||||||
\(943\) | −4.92852 | −0.160495 | ||||||||
\(944\) | 2.22413 | 0.0723891 | ||||||||
\(945\) | 56.8127 | 1.84812 | ||||||||
\(946\) | 32.9991 | 1.07289 | ||||||||
\(947\) | −10.6668 | −0.346624 | −0.173312 | − | 0.984867i | \(-0.555447\pi\) | ||||
−0.173312 | + | 0.984867i | \(0.555447\pi\) | |||||||
\(948\) | 37.7395 | 1.22572 | ||||||||
\(949\) | −23.3615 | −0.758346 | ||||||||
\(950\) | −6.18630 | −0.200710 | ||||||||
\(951\) | −34.2605 | −1.11097 | ||||||||
\(952\) | −14.0388 | −0.455000 | ||||||||
\(953\) | 8.99085 | 0.291242 | 0.145621 | − | 0.989340i | \(-0.453482\pi\) | ||||
0.145621 | + | 0.989340i | \(0.453482\pi\) | |||||||
\(954\) | 75.3034 | 2.43804 | ||||||||
\(955\) | 15.8612 | 0.513257 | ||||||||
\(956\) | 6.77067 | 0.218979 | ||||||||
\(957\) | 116.450 | 3.76430 | ||||||||
\(958\) | −30.8222 | −0.995820 | ||||||||
\(959\) | 7.16637 | 0.231414 | ||||||||
\(960\) | −6.33924 | −0.204598 | ||||||||
\(961\) | −27.1944 | −0.877239 | ||||||||
\(962\) | −47.1137 | −1.51901 | ||||||||
\(963\) | 68.3669 | 2.20309 | ||||||||
\(964\) | 11.6269 | 0.374478 | ||||||||
\(965\) | 47.2919 | 1.52238 | ||||||||
\(966\) | 7.33987 | 0.236157 | ||||||||
\(967\) | −27.8019 | −0.894048 | −0.447024 | − | 0.894522i | \(-0.647516\pi\) | ||||
−0.447024 | + | 0.894522i | \(0.647516\pi\) | |||||||
\(968\) | 1.90964 | 0.0613781 | ||||||||
\(969\) | −127.649 | −4.10068 | ||||||||
\(970\) | −26.1796 | −0.840576 | ||||||||
\(971\) | −28.4151 | −0.911884 | −0.455942 | − | 0.890010i | \(-0.650698\pi\) | ||||
−0.455942 | + | 0.890010i | \(0.650698\pi\) | |||||||
\(972\) | −17.7183 | −0.568316 | ||||||||
\(973\) | −32.8813 | −1.05413 | ||||||||
\(974\) | 8.91092 | 0.285524 | ||||||||
\(975\) | 12.2468 | 0.392213 | ||||||||
\(976\) | −4.29334 | −0.137427 | ||||||||
\(977\) | 11.9179 | 0.381289 | 0.190644 | − | 0.981659i | \(-0.438942\pi\) | ||||
0.190644 | + | 0.981659i | \(0.438942\pi\) | |||||||
\(978\) | −55.9164 | −1.78801 | ||||||||
\(979\) | −65.5161 | −2.09390 | ||||||||
\(980\) | −3.07004 | −0.0980688 | ||||||||
\(981\) | 62.9899 | 2.01111 | ||||||||
\(982\) | 32.9441 | 1.05129 | ||||||||
\(983\) | −34.0020 | −1.08450 | −0.542248 | − | 0.840219i | \(-0.682426\pi\) | ||||
−0.542248 | + | 0.840219i | \(0.682426\pi\) | |||||||
\(984\) | 15.4506 | 0.492546 | ||||||||
\(985\) | −40.0629 | −1.27651 | ||||||||
\(986\) | 61.9904 | 1.97418 | ||||||||
\(987\) | 61.3799 | 1.95374 | ||||||||
\(988\) | 29.1212 | 0.926468 | ||||||||
\(989\) | −9.18429 | −0.292043 | ||||||||
\(990\) | −49.6074 | −1.57663 | ||||||||
\(991\) | −5.58472 | −0.177404 | −0.0887022 | − | 0.996058i | \(-0.528272\pi\) | ||||
−0.0887022 | + | 0.996058i | \(0.528272\pi\) | |||||||
\(992\) | −1.95079 | −0.0619378 | ||||||||
\(993\) | −21.6723 | −0.687749 | ||||||||
\(994\) | −20.8115 | −0.660099 | ||||||||
\(995\) | 12.7482 | 0.404144 | ||||||||
\(996\) | −5.35196 | −0.169583 | ||||||||
\(997\) | 14.1073 | 0.446782 | 0.223391 | − | 0.974729i | \(-0.428287\pi\) | ||||
0.223391 | + | 0.974729i | \(0.428287\pi\) | |||||||
\(998\) | 20.2249 | 0.640209 | ||||||||
\(999\) | 131.836 | 4.17111 |
(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 | 6026.2.a.m.1.4 | ✓ | 41 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6026.2.a.m.1.4 | ✓ | 41 | 1.1 | even | 1 | trivial |