Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4011,2,Mod(1,4011)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4011, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 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("4011.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4011 = 3 \cdot 7 \cdot 191 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4011.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: | \(32.0279962507\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 4011.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.79513 | −1.97645 | −0.988226 | − | 0.153002i | \(-0.951106\pi\) | ||||
−0.988226 | + | 0.153002i | \(0.951106\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 5.81272 | 2.90636 | ||||||||
\(5\) | 0.438876 | 0.196271 | 0.0981357 | − | 0.995173i | \(-0.468712\pi\) | ||||
0.0981357 | + | 0.995173i | \(0.468712\pi\) | |||||||
\(6\) | 2.79513 | 1.14111 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | −10.6570 | −3.76783 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −1.22671 | −0.387921 | ||||||||
\(11\) | −5.11393 | −1.54191 | −0.770954 | − | 0.636891i | \(-0.780220\pi\) | ||||
−0.770954 | + | 0.636891i | \(0.780220\pi\) | |||||||
\(12\) | −5.81272 | −1.67799 | ||||||||
\(13\) | 3.57639 | 0.991913 | 0.495957 | − | 0.868347i | \(-0.334817\pi\) | ||||
0.495957 | + | 0.868347i | \(0.334817\pi\) | |||||||
\(14\) | 2.79513 | 0.747029 | ||||||||
\(15\) | −0.438876 | −0.113317 | ||||||||
\(16\) | 18.1623 | 4.54058 | ||||||||
\(17\) | −3.22421 | −0.781985 | −0.390992 | − | 0.920394i | \(-0.627868\pi\) | ||||
−0.390992 | + | 0.920394i | \(0.627868\pi\) | |||||||
\(18\) | −2.79513 | −0.658817 | ||||||||
\(19\) | 4.20197 | 0.963997 | 0.481999 | − | 0.876172i | \(-0.339911\pi\) | ||||
0.481999 | + | 0.876172i | \(0.339911\pi\) | |||||||
\(20\) | 2.55107 | 0.570436 | ||||||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 14.2941 | 3.04751 | ||||||||
\(23\) | 5.74699 | 1.19833 | 0.599165 | − | 0.800626i | \(-0.295499\pi\) | ||||
0.599165 | + | 0.800626i | \(0.295499\pi\) | |||||||
\(24\) | 10.6570 | 2.17536 | ||||||||
\(25\) | −4.80739 | −0.961478 | ||||||||
\(26\) | −9.99647 | −1.96047 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −5.81272 | −1.09850 | ||||||||
\(29\) | 4.80783 | 0.892791 | 0.446396 | − | 0.894836i | \(-0.352707\pi\) | ||||
0.446396 | + | 0.894836i | \(0.352707\pi\) | |||||||
\(30\) | 1.22671 | 0.223966 | ||||||||
\(31\) | 4.33839 | 0.779198 | 0.389599 | − | 0.920985i | \(-0.372614\pi\) | ||||
0.389599 | + | 0.920985i | \(0.372614\pi\) | |||||||
\(32\) | −29.4518 | −5.20640 | ||||||||
\(33\) | 5.11393 | 0.890221 | ||||||||
\(34\) | 9.01206 | 1.54556 | ||||||||
\(35\) | −0.438876 | −0.0741836 | ||||||||
\(36\) | 5.81272 | 0.968787 | ||||||||
\(37\) | −1.07132 | −0.176123 | −0.0880617 | − | 0.996115i | \(-0.528067\pi\) | ||||
−0.0880617 | + | 0.996115i | \(0.528067\pi\) | |||||||
\(38\) | −11.7450 | −1.90529 | ||||||||
\(39\) | −3.57639 | −0.572681 | ||||||||
\(40\) | −4.67712 | −0.739518 | ||||||||
\(41\) | −4.91241 | −0.767190 | −0.383595 | − | 0.923501i | \(-0.625314\pi\) | ||||
−0.383595 | + | 0.923501i | \(0.625314\pi\) | |||||||
\(42\) | −2.79513 | −0.431297 | ||||||||
\(43\) | −9.33741 | −1.42394 | −0.711971 | − | 0.702209i | \(-0.752197\pi\) | ||||
−0.711971 | + | 0.702209i | \(0.752197\pi\) | |||||||
\(44\) | −29.7259 | −4.48134 | ||||||||
\(45\) | 0.438876 | 0.0654238 | ||||||||
\(46\) | −16.0635 | −2.36844 | ||||||||
\(47\) | −4.27628 | −0.623759 | −0.311880 | − | 0.950122i | \(-0.600959\pi\) | ||||
−0.311880 | + | 0.950122i | \(0.600959\pi\) | |||||||
\(48\) | −18.1623 | −2.62150 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 13.4372 | 1.90031 | ||||||||
\(51\) | 3.22421 | 0.451479 | ||||||||
\(52\) | 20.7886 | 2.88286 | ||||||||
\(53\) | 2.74214 | 0.376663 | 0.188331 | − | 0.982106i | \(-0.439692\pi\) | ||||
0.188331 | + | 0.982106i | \(0.439692\pi\) | |||||||
\(54\) | 2.79513 | 0.380368 | ||||||||
\(55\) | −2.24438 | −0.302632 | ||||||||
\(56\) | 10.6570 | 1.42411 | ||||||||
\(57\) | −4.20197 | −0.556564 | ||||||||
\(58\) | −13.4385 | −1.76456 | ||||||||
\(59\) | 10.0082 | 1.30296 | 0.651478 | − | 0.758667i | \(-0.274149\pi\) | ||||
0.651478 | + | 0.758667i | \(0.274149\pi\) | |||||||
\(60\) | −2.55107 | −0.329341 | ||||||||
\(61\) | −2.23200 | −0.285779 | −0.142889 | − | 0.989739i | \(-0.545639\pi\) | ||||
−0.142889 | + | 0.989739i | \(0.545639\pi\) | |||||||
\(62\) | −12.1263 | −1.54005 | ||||||||
\(63\) | −1.00000 | −0.125988 | ||||||||
\(64\) | 45.9970 | 5.74962 | ||||||||
\(65\) | 1.56959 | 0.194684 | ||||||||
\(66\) | −14.2941 | −1.75948 | ||||||||
\(67\) | −2.87342 | −0.351044 | −0.175522 | − | 0.984476i | \(-0.556161\pi\) | ||||
−0.175522 | + | 0.984476i | \(0.556161\pi\) | |||||||
\(68\) | −18.7414 | −2.27273 | ||||||||
\(69\) | −5.74699 | −0.691856 | ||||||||
\(70\) | 1.22671 | 0.146620 | ||||||||
\(71\) | −8.53382 | −1.01278 | −0.506389 | − | 0.862305i | \(-0.669020\pi\) | ||||
−0.506389 | + | 0.862305i | \(0.669020\pi\) | |||||||
\(72\) | −10.6570 | −1.25594 | ||||||||
\(73\) | −1.54704 | −0.181067 | −0.0905337 | − | 0.995893i | \(-0.528857\pi\) | ||||
−0.0905337 | + | 0.995893i | \(0.528857\pi\) | |||||||
\(74\) | 2.99446 | 0.348099 | ||||||||
\(75\) | 4.80739 | 0.555109 | ||||||||
\(76\) | 24.4249 | 2.80172 | ||||||||
\(77\) | 5.11393 | 0.582786 | ||||||||
\(78\) | 9.99647 | 1.13188 | ||||||||
\(79\) | −7.00338 | −0.787942 | −0.393971 | − | 0.919123i | \(-0.628899\pi\) | ||||
−0.393971 | + | 0.919123i | \(0.628899\pi\) | |||||||
\(80\) | 7.97101 | 0.891186 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 13.7308 | 1.51631 | ||||||||
\(83\) | 6.26712 | 0.687906 | 0.343953 | − | 0.938987i | \(-0.388234\pi\) | ||||
0.343953 | + | 0.938987i | \(0.388234\pi\) | |||||||
\(84\) | 5.81272 | 0.634220 | ||||||||
\(85\) | −1.41503 | −0.153481 | ||||||||
\(86\) | 26.0992 | 2.81435 | ||||||||
\(87\) | −4.80783 | −0.515453 | ||||||||
\(88\) | 54.4994 | 5.80965 | ||||||||
\(89\) | 14.6086 | 1.54851 | 0.774254 | − | 0.632875i | \(-0.218125\pi\) | ||||
0.774254 | + | 0.632875i | \(0.218125\pi\) | |||||||
\(90\) | −1.22671 | −0.129307 | ||||||||
\(91\) | −3.57639 | −0.374908 | ||||||||
\(92\) | 33.4056 | 3.48278 | ||||||||
\(93\) | −4.33839 | −0.449870 | ||||||||
\(94\) | 11.9527 | 1.23283 | ||||||||
\(95\) | 1.84414 | 0.189205 | ||||||||
\(96\) | 29.4518 | 3.00592 | ||||||||
\(97\) | 9.32022 | 0.946325 | 0.473163 | − | 0.880975i | \(-0.343112\pi\) | ||||
0.473163 | + | 0.880975i | \(0.343112\pi\) | |||||||
\(98\) | −2.79513 | −0.282350 | ||||||||
\(99\) | −5.11393 | −0.513969 | ||||||||
\(100\) | −27.9440 | −2.79440 | ||||||||
\(101\) | −7.51014 | −0.747287 | −0.373643 | − | 0.927572i | \(-0.621892\pi\) | ||||
−0.373643 | + | 0.927572i | \(0.621892\pi\) | |||||||
\(102\) | −9.01206 | −0.892327 | ||||||||
\(103\) | 8.52683 | 0.840174 | 0.420087 | − | 0.907484i | \(-0.362000\pi\) | ||||
0.420087 | + | 0.907484i | \(0.362000\pi\) | |||||||
\(104\) | −38.1138 | −3.73736 | ||||||||
\(105\) | 0.438876 | 0.0428299 | ||||||||
\(106\) | −7.66464 | −0.744455 | ||||||||
\(107\) | −5.66320 | −0.547482 | −0.273741 | − | 0.961803i | \(-0.588261\pi\) | ||||
−0.273741 | + | 0.961803i | \(0.588261\pi\) | |||||||
\(108\) | −5.81272 | −0.559330 | ||||||||
\(109\) | −5.12266 | −0.490662 | −0.245331 | − | 0.969439i | \(-0.578897\pi\) | ||||
−0.245331 | + | 0.969439i | \(0.578897\pi\) | |||||||
\(110\) | 6.27333 | 0.598139 | ||||||||
\(111\) | 1.07132 | 0.101685 | ||||||||
\(112\) | −18.1623 | −1.71618 | ||||||||
\(113\) | −16.4236 | −1.54500 | −0.772501 | − | 0.635014i | \(-0.780994\pi\) | ||||
−0.772501 | + | 0.635014i | \(0.780994\pi\) | |||||||
\(114\) | 11.7450 | 1.10002 | ||||||||
\(115\) | 2.52222 | 0.235198 | ||||||||
\(116\) | 27.9466 | 2.59477 | ||||||||
\(117\) | 3.57639 | 0.330638 | ||||||||
\(118\) | −27.9742 | −2.57523 | ||||||||
\(119\) | 3.22421 | 0.295563 | ||||||||
\(120\) | 4.67712 | 0.426961 | ||||||||
\(121\) | 15.1523 | 1.37748 | ||||||||
\(122\) | 6.23873 | 0.564828 | ||||||||
\(123\) | 4.91241 | 0.442937 | ||||||||
\(124\) | 25.2179 | 2.26463 | ||||||||
\(125\) | −4.30423 | −0.384982 | ||||||||
\(126\) | 2.79513 | 0.249010 | ||||||||
\(127\) | −1.64221 | −0.145722 | −0.0728612 | − | 0.997342i | \(-0.523213\pi\) | ||||
−0.0728612 | + | 0.997342i | \(0.523213\pi\) | |||||||
\(128\) | −69.6636 | −6.15745 | ||||||||
\(129\) | 9.33741 | 0.822113 | ||||||||
\(130\) | −4.38721 | −0.384784 | ||||||||
\(131\) | 9.47030 | 0.827424 | 0.413712 | − | 0.910408i | \(-0.364232\pi\) | ||||
0.413712 | + | 0.910408i | \(0.364232\pi\) | |||||||
\(132\) | 29.7259 | 2.58730 | ||||||||
\(133\) | −4.20197 | −0.364357 | ||||||||
\(134\) | 8.03156 | 0.693821 | ||||||||
\(135\) | −0.438876 | −0.0377725 | ||||||||
\(136\) | 34.3605 | 2.94639 | ||||||||
\(137\) | 13.2603 | 1.13291 | 0.566453 | − | 0.824094i | \(-0.308315\pi\) | ||||
0.566453 | + | 0.824094i | \(0.308315\pi\) | |||||||
\(138\) | 16.0635 | 1.36742 | ||||||||
\(139\) | −11.9000 | −1.00935 | −0.504674 | − | 0.863310i | \(-0.668387\pi\) | ||||
−0.504674 | + | 0.863310i | \(0.668387\pi\) | |||||||
\(140\) | −2.55107 | −0.215604 | ||||||||
\(141\) | 4.27628 | 0.360128 | ||||||||
\(142\) | 23.8531 | 2.00171 | ||||||||
\(143\) | −18.2894 | −1.52944 | ||||||||
\(144\) | 18.1623 | 1.51353 | ||||||||
\(145\) | 2.11004 | 0.175229 | ||||||||
\(146\) | 4.32417 | 0.357871 | ||||||||
\(147\) | −1.00000 | −0.0824786 | ||||||||
\(148\) | −6.22727 | −0.511878 | ||||||||
\(149\) | 15.4284 | 1.26394 | 0.631970 | − | 0.774993i | \(-0.282247\pi\) | ||||
0.631970 | + | 0.774993i | \(0.282247\pi\) | |||||||
\(150\) | −13.4372 | −1.09715 | ||||||||
\(151\) | 22.9567 | 1.86819 | 0.934096 | − | 0.357021i | \(-0.116208\pi\) | ||||
0.934096 | + | 0.357021i | \(0.116208\pi\) | |||||||
\(152\) | −44.7805 | −3.63218 | ||||||||
\(153\) | −3.22421 | −0.260662 | ||||||||
\(154\) | −14.2941 | −1.15185 | ||||||||
\(155\) | 1.90402 | 0.152934 | ||||||||
\(156\) | −20.7886 | −1.66442 | ||||||||
\(157\) | −3.11364 | −0.248496 | −0.124248 | − | 0.992251i | \(-0.539652\pi\) | ||||
−0.124248 | + | 0.992251i | \(0.539652\pi\) | |||||||
\(158\) | 19.5753 | 1.55733 | ||||||||
\(159\) | −2.74214 | −0.217466 | ||||||||
\(160\) | −12.9257 | −1.02187 | ||||||||
\(161\) | −5.74699 | −0.452926 | ||||||||
\(162\) | −2.79513 | −0.219606 | ||||||||
\(163\) | −17.4205 | −1.36448 | −0.682240 | − | 0.731128i | \(-0.738994\pi\) | ||||
−0.682240 | + | 0.731128i | \(0.738994\pi\) | |||||||
\(164\) | −28.5545 | −2.22973 | ||||||||
\(165\) | 2.24438 | 0.174725 | ||||||||
\(166\) | −17.5174 | −1.35961 | ||||||||
\(167\) | −15.2151 | −1.17738 | −0.588690 | − | 0.808359i | \(-0.700356\pi\) | ||||
−0.588690 | + | 0.808359i | \(0.700356\pi\) | |||||||
\(168\) | −10.6570 | −0.822208 | ||||||||
\(169\) | −0.209405 | −0.0161081 | ||||||||
\(170\) | 3.95518 | 0.303348 | ||||||||
\(171\) | 4.20197 | 0.321332 | ||||||||
\(172\) | −54.2758 | −4.13849 | ||||||||
\(173\) | 3.49995 | 0.266096 | 0.133048 | − | 0.991110i | \(-0.457524\pi\) | ||||
0.133048 | + | 0.991110i | \(0.457524\pi\) | |||||||
\(174\) | 13.4385 | 1.01877 | ||||||||
\(175\) | 4.80739 | 0.363404 | ||||||||
\(176\) | −92.8808 | −7.00115 | ||||||||
\(177\) | −10.0082 | −0.752262 | ||||||||
\(178\) | −40.8329 | −3.06055 | ||||||||
\(179\) | 15.8138 | 1.18198 | 0.590988 | − | 0.806680i | \(-0.298738\pi\) | ||||
0.590988 | + | 0.806680i | \(0.298738\pi\) | |||||||
\(180\) | 2.55107 | 0.190145 | ||||||||
\(181\) | −11.7949 | −0.876705 | −0.438352 | − | 0.898803i | \(-0.644438\pi\) | ||||
−0.438352 | + | 0.898803i | \(0.644438\pi\) | |||||||
\(182\) | 9.99647 | 0.740988 | ||||||||
\(183\) | 2.23200 | 0.164994 | ||||||||
\(184\) | −61.2459 | −4.51510 | ||||||||
\(185\) | −0.470175 | −0.0345680 | ||||||||
\(186\) | 12.1263 | 0.889147 | ||||||||
\(187\) | 16.4884 | 1.20575 | ||||||||
\(188\) | −24.8568 | −1.81287 | ||||||||
\(189\) | 1.00000 | 0.0727393 | ||||||||
\(190\) | −5.15461 | −0.373955 | ||||||||
\(191\) | 1.00000 | 0.0723575 | ||||||||
\(192\) | −45.9970 | −3.31955 | ||||||||
\(193\) | 13.9096 | 1.00123 | 0.500616 | − | 0.865669i | \(-0.333107\pi\) | ||||
0.500616 | + | 0.865669i | \(0.333107\pi\) | |||||||
\(194\) | −26.0512 | −1.87037 | ||||||||
\(195\) | −1.56959 | −0.112401 | ||||||||
\(196\) | 5.81272 | 0.415195 | ||||||||
\(197\) | 15.3562 | 1.09409 | 0.547043 | − | 0.837104i | \(-0.315753\pi\) | ||||
0.547043 | + | 0.837104i | \(0.315753\pi\) | |||||||
\(198\) | 14.2941 | 1.01584 | ||||||||
\(199\) | 4.34907 | 0.308297 | 0.154149 | − | 0.988048i | \(-0.450737\pi\) | ||||
0.154149 | + | 0.988048i | \(0.450737\pi\) | |||||||
\(200\) | 51.2325 | 3.62269 | ||||||||
\(201\) | 2.87342 | 0.202675 | ||||||||
\(202\) | 20.9918 | 1.47698 | ||||||||
\(203\) | −4.80783 | −0.337443 | ||||||||
\(204\) | 18.7414 | 1.31216 | ||||||||
\(205\) | −2.15594 | −0.150577 | ||||||||
\(206\) | −23.8336 | −1.66056 | ||||||||
\(207\) | 5.74699 | 0.399443 | ||||||||
\(208\) | 64.9556 | 4.50386 | ||||||||
\(209\) | −21.4886 | −1.48639 | ||||||||
\(210\) | −1.22671 | −0.0846513 | ||||||||
\(211\) | −17.4608 | −1.20205 | −0.601026 | − | 0.799230i | \(-0.705241\pi\) | ||||
−0.601026 | + | 0.799230i | \(0.705241\pi\) | |||||||
\(212\) | 15.9393 | 1.09472 | ||||||||
\(213\) | 8.53382 | 0.584728 | ||||||||
\(214\) | 15.8293 | 1.08207 | ||||||||
\(215\) | −4.09797 | −0.279479 | ||||||||
\(216\) | 10.6570 | 0.725120 | ||||||||
\(217\) | −4.33839 | −0.294509 | ||||||||
\(218\) | 14.3185 | 0.969769 | ||||||||
\(219\) | 1.54704 | 0.104539 | ||||||||
\(220\) | −13.0460 | −0.879560 | ||||||||
\(221\) | −11.5310 | −0.775661 | ||||||||
\(222\) | −2.99446 | −0.200975 | ||||||||
\(223\) | −1.32547 | −0.0887600 | −0.0443800 | − | 0.999015i | \(-0.514131\pi\) | ||||
−0.0443800 | + | 0.999015i | \(0.514131\pi\) | |||||||
\(224\) | 29.4518 | 1.96783 | ||||||||
\(225\) | −4.80739 | −0.320493 | ||||||||
\(226\) | 45.9060 | 3.05362 | ||||||||
\(227\) | −25.1595 | −1.66990 | −0.834948 | − | 0.550329i | \(-0.814502\pi\) | ||||
−0.834948 | + | 0.550329i | \(0.814502\pi\) | |||||||
\(228\) | −24.4249 | −1.61758 | ||||||||
\(229\) | 18.6387 | 1.23168 | 0.615841 | − | 0.787870i | \(-0.288816\pi\) | ||||
0.615841 | + | 0.787870i | \(0.288816\pi\) | |||||||
\(230\) | −7.04991 | −0.464857 | ||||||||
\(231\) | −5.11393 | −0.336472 | ||||||||
\(232\) | −51.2372 | −3.36389 | ||||||||
\(233\) | −16.1829 | −1.06018 | −0.530089 | − | 0.847942i | \(-0.677842\pi\) | ||||
−0.530089 | + | 0.847942i | \(0.677842\pi\) | |||||||
\(234\) | −9.99647 | −0.653490 | ||||||||
\(235\) | −1.87676 | −0.122426 | ||||||||
\(236\) | 58.1749 | 3.78686 | ||||||||
\(237\) | 7.00338 | 0.454919 | ||||||||
\(238\) | −9.01206 | −0.584165 | ||||||||
\(239\) | 23.6342 | 1.52877 | 0.764386 | − | 0.644759i | \(-0.223042\pi\) | ||||
0.764386 | + | 0.644759i | \(0.223042\pi\) | |||||||
\(240\) | −7.97101 | −0.514526 | ||||||||
\(241\) | 27.7039 | 1.78457 | 0.892283 | − | 0.451477i | \(-0.149103\pi\) | ||||
0.892283 | + | 0.451477i | \(0.149103\pi\) | |||||||
\(242\) | −42.3525 | −2.72252 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −12.9740 | −0.830577 | ||||||||
\(245\) | 0.438876 | 0.0280388 | ||||||||
\(246\) | −13.7308 | −0.875444 | ||||||||
\(247\) | 15.0279 | 0.956201 | ||||||||
\(248\) | −46.2344 | −2.93589 | ||||||||
\(249\) | −6.26712 | −0.397163 | ||||||||
\(250\) | 12.0309 | 0.760898 | ||||||||
\(251\) | −30.2060 | −1.90658 | −0.953292 | − | 0.302051i | \(-0.902329\pi\) | ||||
−0.953292 | + | 0.302051i | \(0.902329\pi\) | |||||||
\(252\) | −5.81272 | −0.366167 | ||||||||
\(253\) | −29.3897 | −1.84771 | ||||||||
\(254\) | 4.59018 | 0.288013 | ||||||||
\(255\) | 1.41503 | 0.0886125 | ||||||||
\(256\) | 102.725 | 6.42028 | ||||||||
\(257\) | 7.54089 | 0.470388 | 0.235194 | − | 0.971948i | \(-0.424428\pi\) | ||||
0.235194 | + | 0.971948i | \(0.424428\pi\) | |||||||
\(258\) | −26.0992 | −1.62487 | ||||||||
\(259\) | 1.07132 | 0.0665684 | ||||||||
\(260\) | 9.12362 | 0.565823 | ||||||||
\(261\) | 4.80783 | 0.297597 | ||||||||
\(262\) | −26.4707 | −1.63536 | ||||||||
\(263\) | −26.8503 | −1.65566 | −0.827829 | − | 0.560981i | \(-0.810424\pi\) | ||||
−0.827829 | + | 0.560981i | \(0.810424\pi\) | |||||||
\(264\) | −54.4994 | −3.35420 | ||||||||
\(265\) | 1.20346 | 0.0739281 | ||||||||
\(266\) | 11.7450 | 0.720133 | ||||||||
\(267\) | −14.6086 | −0.894032 | ||||||||
\(268\) | −16.7024 | −1.02026 | ||||||||
\(269\) | 23.8803 | 1.45601 | 0.728003 | − | 0.685574i | \(-0.240449\pi\) | ||||
0.728003 | + | 0.685574i | \(0.240449\pi\) | |||||||
\(270\) | 1.22671 | 0.0746554 | ||||||||
\(271\) | 15.7654 | 0.957682 | 0.478841 | − | 0.877902i | \(-0.341057\pi\) | ||||
0.478841 | + | 0.877902i | \(0.341057\pi\) | |||||||
\(272\) | −58.5590 | −3.55066 | ||||||||
\(273\) | 3.57639 | 0.216453 | ||||||||
\(274\) | −37.0643 | −2.23913 | ||||||||
\(275\) | 24.5846 | 1.48251 | ||||||||
\(276\) | −33.4056 | −2.01078 | ||||||||
\(277\) | 9.60378 | 0.577035 | 0.288518 | − | 0.957475i | \(-0.406838\pi\) | ||||
0.288518 | + | 0.957475i | \(0.406838\pi\) | |||||||
\(278\) | 33.2621 | 1.99493 | ||||||||
\(279\) | 4.33839 | 0.259733 | ||||||||
\(280\) | 4.67712 | 0.279511 | ||||||||
\(281\) | 0.905900 | 0.0540415 | 0.0270207 | − | 0.999635i | \(-0.491398\pi\) | ||||
0.0270207 | + | 0.999635i | \(0.491398\pi\) | |||||||
\(282\) | −11.9527 | −0.711775 | ||||||||
\(283\) | −16.6169 | −0.987774 | −0.493887 | − | 0.869526i | \(-0.664424\pi\) | ||||
−0.493887 | + | 0.869526i | \(0.664424\pi\) | |||||||
\(284\) | −49.6047 | −2.94350 | ||||||||
\(285\) | −1.84414 | −0.109238 | ||||||||
\(286\) | 51.1212 | 3.02286 | ||||||||
\(287\) | 4.91241 | 0.289971 | ||||||||
\(288\) | −29.4518 | −1.73547 | ||||||||
\(289\) | −6.60449 | −0.388500 | ||||||||
\(290\) | −5.89783 | −0.346333 | ||||||||
\(291\) | −9.32022 | −0.546361 | ||||||||
\(292\) | −8.99252 | −0.526248 | ||||||||
\(293\) | 23.1218 | 1.35079 | 0.675394 | − | 0.737457i | \(-0.263973\pi\) | ||||
0.675394 | + | 0.737457i | \(0.263973\pi\) | |||||||
\(294\) | 2.79513 | 0.163015 | ||||||||
\(295\) | 4.39236 | 0.255733 | ||||||||
\(296\) | 11.4171 | 0.663603 | ||||||||
\(297\) | 5.11393 | 0.296740 | ||||||||
\(298\) | −43.1242 | −2.49812 | ||||||||
\(299\) | 20.5535 | 1.18864 | ||||||||
\(300\) | 27.9440 | 1.61335 | ||||||||
\(301\) | 9.33741 | 0.538199 | ||||||||
\(302\) | −64.1669 | −3.69239 | ||||||||
\(303\) | 7.51014 | 0.431446 | ||||||||
\(304\) | 76.3174 | 4.37710 | ||||||||
\(305\) | −0.979573 | −0.0560902 | ||||||||
\(306\) | 9.01206 | 0.515185 | ||||||||
\(307\) | −16.7370 | −0.955231 | −0.477616 | − | 0.878569i | \(-0.658499\pi\) | ||||
−0.477616 | + | 0.878569i | \(0.658499\pi\) | |||||||
\(308\) | 29.7259 | 1.69379 | ||||||||
\(309\) | −8.52683 | −0.485075 | ||||||||
\(310\) | −5.32196 | −0.302267 | ||||||||
\(311\) | −11.2635 | −0.638697 | −0.319349 | − | 0.947637i | \(-0.603464\pi\) | ||||
−0.319349 | + | 0.947637i | \(0.603464\pi\) | |||||||
\(312\) | 38.1138 | 2.15777 | ||||||||
\(313\) | 14.7439 | 0.833372 | 0.416686 | − | 0.909050i | \(-0.363191\pi\) | ||||
0.416686 | + | 0.909050i | \(0.363191\pi\) | |||||||
\(314\) | 8.70302 | 0.491140 | ||||||||
\(315\) | −0.438876 | −0.0247279 | ||||||||
\(316\) | −40.7087 | −2.29004 | ||||||||
\(317\) | 16.4851 | 0.925897 | 0.462949 | − | 0.886385i | \(-0.346791\pi\) | ||||
0.462949 | + | 0.886385i | \(0.346791\pi\) | |||||||
\(318\) | 7.66464 | 0.429812 | ||||||||
\(319\) | −24.5869 | −1.37660 | ||||||||
\(320\) | 20.1870 | 1.12849 | ||||||||
\(321\) | 5.66320 | 0.316089 | ||||||||
\(322\) | 16.0635 | 0.895186 | ||||||||
\(323\) | −13.5480 | −0.753831 | ||||||||
\(324\) | 5.81272 | 0.322929 | ||||||||
\(325\) | −17.1931 | −0.953702 | ||||||||
\(326\) | 48.6925 | 2.69683 | ||||||||
\(327\) | 5.12266 | 0.283284 | ||||||||
\(328\) | 52.3518 | 2.89064 | ||||||||
\(329\) | 4.27628 | 0.235759 | ||||||||
\(330\) | −6.27333 | −0.345335 | ||||||||
\(331\) | 21.8658 | 1.20185 | 0.600926 | − | 0.799304i | \(-0.294798\pi\) | ||||
0.600926 | + | 0.799304i | \(0.294798\pi\) | |||||||
\(332\) | 36.4291 | 1.99930 | ||||||||
\(333\) | −1.07132 | −0.0587078 | ||||||||
\(334\) | 42.5281 | 2.32704 | ||||||||
\(335\) | −1.26107 | −0.0688999 | ||||||||
\(336\) | 18.1623 | 0.990835 | ||||||||
\(337\) | 15.0985 | 0.822468 | 0.411234 | − | 0.911530i | \(-0.365098\pi\) | ||||
0.411234 | + | 0.911530i | \(0.365098\pi\) | |||||||
\(338\) | 0.585313 | 0.0318368 | ||||||||
\(339\) | 16.4236 | 0.892007 | ||||||||
\(340\) | −8.22517 | −0.446072 | ||||||||
\(341\) | −22.1862 | −1.20145 | ||||||||
\(342\) | −11.7450 | −0.635098 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 99.5092 | 5.36517 | ||||||||
\(345\) | −2.52222 | −0.135792 | ||||||||
\(346\) | −9.78280 | −0.525926 | ||||||||
\(347\) | 29.6008 | 1.58906 | 0.794528 | − | 0.607228i | \(-0.207718\pi\) | ||||
0.794528 | + | 0.607228i | \(0.207718\pi\) | |||||||
\(348\) | −27.9466 | −1.49809 | ||||||||
\(349\) | 15.4311 | 0.826007 | 0.413003 | − | 0.910729i | \(-0.364480\pi\) | ||||
0.413003 | + | 0.910729i | \(0.364480\pi\) | |||||||
\(350\) | −13.4372 | −0.718251 | ||||||||
\(351\) | −3.57639 | −0.190894 | ||||||||
\(352\) | 150.615 | 8.02779 | ||||||||
\(353\) | 26.4653 | 1.40861 | 0.704303 | − | 0.709899i | \(-0.251260\pi\) | ||||
0.704303 | + | 0.709899i | \(0.251260\pi\) | |||||||
\(354\) | 27.9742 | 1.48681 | ||||||||
\(355\) | −3.74529 | −0.198779 | ||||||||
\(356\) | 84.9157 | 4.50053 | ||||||||
\(357\) | −3.22421 | −0.170643 | ||||||||
\(358\) | −44.2015 | −2.33612 | ||||||||
\(359\) | −3.45254 | −0.182218 | −0.0911090 | − | 0.995841i | \(-0.529041\pi\) | ||||
−0.0911090 | + | 0.995841i | \(0.529041\pi\) | |||||||
\(360\) | −4.67712 | −0.246506 | ||||||||
\(361\) | −1.34348 | −0.0707097 | ||||||||
\(362\) | 32.9681 | 1.73276 | ||||||||
\(363\) | −15.1523 | −0.795289 | ||||||||
\(364\) | −20.7886 | −1.08962 | ||||||||
\(365\) | −0.678960 | −0.0355384 | ||||||||
\(366\) | −6.23873 | −0.326104 | ||||||||
\(367\) | −8.10264 | −0.422954 | −0.211477 | − | 0.977383i | \(-0.567827\pi\) | ||||
−0.211477 | + | 0.977383i | \(0.567827\pi\) | |||||||
\(368\) | 104.379 | 5.44111 | ||||||||
\(369\) | −4.91241 | −0.255730 | ||||||||
\(370\) | 1.31420 | 0.0683219 | ||||||||
\(371\) | −2.74214 | −0.142365 | ||||||||
\(372\) | −25.2179 | −1.30749 | ||||||||
\(373\) | −25.1694 | −1.30322 | −0.651612 | − | 0.758553i | \(-0.725907\pi\) | ||||
−0.651612 | + | 0.758553i | \(0.725907\pi\) | |||||||
\(374\) | −46.0871 | −2.38310 | ||||||||
\(375\) | 4.30423 | 0.222269 | ||||||||
\(376\) | 45.5725 | 2.35022 | ||||||||
\(377\) | 17.1947 | 0.885572 | ||||||||
\(378\) | −2.79513 | −0.143766 | ||||||||
\(379\) | 19.5024 | 1.00177 | 0.500884 | − | 0.865514i | \(-0.333008\pi\) | ||||
0.500884 | + | 0.865514i | \(0.333008\pi\) | |||||||
\(380\) | 10.7195 | 0.549898 | ||||||||
\(381\) | 1.64221 | 0.0841329 | ||||||||
\(382\) | −2.79513 | −0.143011 | ||||||||
\(383\) | −1.30425 | −0.0666442 | −0.0333221 | − | 0.999445i | \(-0.510609\pi\) | ||||
−0.0333221 | + | 0.999445i | \(0.510609\pi\) | |||||||
\(384\) | 69.6636 | 3.55501 | ||||||||
\(385\) | 2.24438 | 0.114384 | ||||||||
\(386\) | −38.8790 | −1.97889 | ||||||||
\(387\) | −9.33741 | −0.474647 | ||||||||
\(388\) | 54.1759 | 2.75036 | ||||||||
\(389\) | 15.4885 | 0.785298 | 0.392649 | − | 0.919688i | \(-0.371559\pi\) | ||||
0.392649 | + | 0.919688i | \(0.371559\pi\) | |||||||
\(390\) | 4.38721 | 0.222155 | ||||||||
\(391\) | −18.5295 | −0.937076 | ||||||||
\(392\) | −10.6570 | −0.538262 | ||||||||
\(393\) | −9.47030 | −0.477713 | ||||||||
\(394\) | −42.9226 | −2.16241 | ||||||||
\(395\) | −3.07362 | −0.154651 | ||||||||
\(396\) | −29.7259 | −1.49378 | ||||||||
\(397\) | 31.4407 | 1.57796 | 0.788982 | − | 0.614416i | \(-0.210608\pi\) | ||||
0.788982 | + | 0.614416i | \(0.210608\pi\) | |||||||
\(398\) | −12.1562 | −0.609335 | ||||||||
\(399\) | 4.20197 | 0.210361 | ||||||||
\(400\) | −87.3133 | −4.36566 | ||||||||
\(401\) | −13.9712 | −0.697691 | −0.348845 | − | 0.937180i | \(-0.613426\pi\) | ||||
−0.348845 | + | 0.937180i | \(0.613426\pi\) | |||||||
\(402\) | −8.03156 | −0.400578 | ||||||||
\(403\) | 15.5158 | 0.772897 | ||||||||
\(404\) | −43.6544 | −2.17189 | ||||||||
\(405\) | 0.438876 | 0.0218079 | ||||||||
\(406\) | 13.4385 | 0.666941 | ||||||||
\(407\) | 5.47864 | 0.271566 | ||||||||
\(408\) | −34.3605 | −1.70110 | ||||||||
\(409\) | 37.8302 | 1.87058 | 0.935291 | − | 0.353881i | \(-0.115138\pi\) | ||||
0.935291 | + | 0.353881i | \(0.115138\pi\) | |||||||
\(410\) | 6.02613 | 0.297609 | ||||||||
\(411\) | −13.2603 | −0.654083 | ||||||||
\(412\) | 49.5641 | 2.44185 | ||||||||
\(413\) | −10.0082 | −0.492471 | ||||||||
\(414\) | −16.0635 | −0.789480 | ||||||||
\(415\) | 2.75049 | 0.135016 | ||||||||
\(416\) | −105.331 | −5.16430 | ||||||||
\(417\) | 11.9000 | 0.582747 | ||||||||
\(418\) | 60.0632 | 2.93779 | ||||||||
\(419\) | 25.8137 | 1.26108 | 0.630541 | − | 0.776156i | \(-0.282833\pi\) | ||||
0.630541 | + | 0.776156i | \(0.282833\pi\) | |||||||
\(420\) | 2.55107 | 0.124479 | ||||||||
\(421\) | −1.96823 | −0.0959257 | −0.0479629 | − | 0.998849i | \(-0.515273\pi\) | ||||
−0.0479629 | + | 0.998849i | \(0.515273\pi\) | |||||||
\(422\) | 48.8051 | 2.37580 | ||||||||
\(423\) | −4.27628 | −0.207920 | ||||||||
\(424\) | −29.2231 | −1.41920 | ||||||||
\(425\) | 15.5000 | 0.751861 | ||||||||
\(426\) | −23.8531 | −1.15569 | ||||||||
\(427\) | 2.23200 | 0.108014 | ||||||||
\(428\) | −32.9186 | −1.59118 | ||||||||
\(429\) | 18.2894 | 0.883022 | ||||||||
\(430\) | 11.4543 | 0.552377 | ||||||||
\(431\) | −2.67916 | −0.129050 | −0.0645252 | − | 0.997916i | \(-0.520553\pi\) | ||||
−0.0645252 | + | 0.997916i | \(0.520553\pi\) | |||||||
\(432\) | −18.1623 | −0.873835 | ||||||||
\(433\) | 41.3542 | 1.98736 | 0.993678 | − | 0.112267i | \(-0.0358113\pi\) | ||||
0.993678 | + | 0.112267i | \(0.0358113\pi\) | |||||||
\(434\) | 12.1263 | 0.582083 | ||||||||
\(435\) | −2.11004 | −0.101169 | ||||||||
\(436\) | −29.7766 | −1.42604 | ||||||||
\(437\) | 24.1486 | 1.15519 | ||||||||
\(438\) | −4.32417 | −0.206617 | ||||||||
\(439\) | −13.0448 | −0.622592 | −0.311296 | − | 0.950313i | \(-0.600763\pi\) | ||||
−0.311296 | + | 0.950313i | \(0.600763\pi\) | |||||||
\(440\) | 23.9185 | 1.14027 | ||||||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | 32.2307 | 1.53306 | ||||||||
\(443\) | 19.3856 | 0.921039 | 0.460520 | − | 0.887650i | \(-0.347663\pi\) | ||||
0.460520 | + | 0.887650i | \(0.347663\pi\) | |||||||
\(444\) | 6.22727 | 0.295533 | ||||||||
\(445\) | 6.41137 | 0.303928 | ||||||||
\(446\) | 3.70485 | 0.175430 | ||||||||
\(447\) | −15.4284 | −0.729736 | ||||||||
\(448\) | −45.9970 | −2.17315 | ||||||||
\(449\) | 3.45777 | 0.163182 | 0.0815912 | − | 0.996666i | \(-0.474000\pi\) | ||||
0.0815912 | + | 0.996666i | \(0.474000\pi\) | |||||||
\(450\) | 13.4372 | 0.633438 | ||||||||
\(451\) | 25.1217 | 1.18294 | ||||||||
\(452\) | −95.4658 | −4.49033 | ||||||||
\(453\) | −22.9567 | −1.07860 | ||||||||
\(454\) | 70.3240 | 3.30047 | ||||||||
\(455\) | −1.56959 | −0.0735837 | ||||||||
\(456\) | 44.7805 | 2.09704 | ||||||||
\(457\) | 7.35649 | 0.344122 | 0.172061 | − | 0.985086i | \(-0.444957\pi\) | ||||
0.172061 | + | 0.985086i | \(0.444957\pi\) | |||||||
\(458\) | −52.0976 | −2.43436 | ||||||||
\(459\) | 3.22421 | 0.150493 | ||||||||
\(460\) | 14.6609 | 0.683570 | ||||||||
\(461\) | −29.9546 | −1.39512 | −0.697562 | − | 0.716524i | \(-0.745732\pi\) | ||||
−0.697562 | + | 0.716524i | \(0.745732\pi\) | |||||||
\(462\) | 14.2941 | 0.665021 | ||||||||
\(463\) | 7.60887 | 0.353614 | 0.176807 | − | 0.984246i | \(-0.443423\pi\) | ||||
0.176807 | + | 0.984246i | \(0.443423\pi\) | |||||||
\(464\) | 87.3213 | 4.05379 | ||||||||
\(465\) | −1.90402 | −0.0882967 | ||||||||
\(466\) | 45.2333 | 2.09539 | ||||||||
\(467\) | 6.61993 | 0.306334 | 0.153167 | − | 0.988200i | \(-0.451053\pi\) | ||||
0.153167 | + | 0.988200i | \(0.451053\pi\) | |||||||
\(468\) | 20.7886 | 0.960953 | ||||||||
\(469\) | 2.87342 | 0.132682 | ||||||||
\(470\) | 5.24577 | 0.241969 | ||||||||
\(471\) | 3.11364 | 0.143469 | ||||||||
\(472\) | −106.658 | −4.90932 | ||||||||
\(473\) | 47.7509 | 2.19559 | ||||||||
\(474\) | −19.5753 | −0.899125 | ||||||||
\(475\) | −20.2005 | −0.926861 | ||||||||
\(476\) | 18.7414 | 0.859012 | ||||||||
\(477\) | 2.74214 | 0.125554 | ||||||||
\(478\) | −66.0606 | −3.02154 | ||||||||
\(479\) | 26.5899 | 1.21492 | 0.607462 | − | 0.794349i | \(-0.292188\pi\) | ||||
0.607462 | + | 0.794349i | \(0.292188\pi\) | |||||||
\(480\) | 12.9257 | 0.589976 | ||||||||
\(481\) | −3.83145 | −0.174699 | ||||||||
\(482\) | −77.4359 | −3.52711 | ||||||||
\(483\) | 5.74699 | 0.261497 | ||||||||
\(484\) | 88.0760 | 4.00346 | ||||||||
\(485\) | 4.09043 | 0.185737 | ||||||||
\(486\) | 2.79513 | 0.126789 | ||||||||
\(487\) | 16.4158 | 0.743872 | 0.371936 | − | 0.928258i | \(-0.378694\pi\) | ||||
0.371936 | + | 0.928258i | \(0.378694\pi\) | |||||||
\(488\) | 23.7866 | 1.07677 | ||||||||
\(489\) | 17.4205 | 0.787783 | ||||||||
\(490\) | −1.22671 | −0.0554173 | ||||||||
\(491\) | 23.8212 | 1.07503 | 0.537517 | − | 0.843253i | \(-0.319362\pi\) | ||||
0.537517 | + | 0.843253i | \(0.319362\pi\) | |||||||
\(492\) | 28.5545 | 1.28734 | ||||||||
\(493\) | −15.5014 | −0.698149 | ||||||||
\(494\) | −42.0048 | −1.88989 | ||||||||
\(495\) | −2.24438 | −0.100877 | ||||||||
\(496\) | 78.7952 | 3.53801 | ||||||||
\(497\) | 8.53382 | 0.382794 | ||||||||
\(498\) | 17.5174 | 0.784973 | ||||||||
\(499\) | −35.0320 | −1.56825 | −0.784123 | − | 0.620605i | \(-0.786887\pi\) | ||||
−0.784123 | + | 0.620605i | \(0.786887\pi\) | |||||||
\(500\) | −25.0193 | −1.11890 | ||||||||
\(501\) | 15.2151 | 0.679761 | ||||||||
\(502\) | 84.4294 | 3.76827 | ||||||||
\(503\) | −39.5216 | −1.76218 | −0.881090 | − | 0.472949i | \(-0.843190\pi\) | ||||
−0.881090 | + | 0.472949i | \(0.843190\pi\) | |||||||
\(504\) | 10.6570 | 0.474702 | ||||||||
\(505\) | −3.29602 | −0.146671 | ||||||||
\(506\) | 82.1479 | 3.65192 | ||||||||
\(507\) | 0.209405 | 0.00929999 | ||||||||
\(508\) | −9.54571 | −0.423522 | ||||||||
\(509\) | −18.6767 | −0.827832 | −0.413916 | − | 0.910315i | \(-0.635839\pi\) | ||||
−0.413916 | + | 0.910315i | \(0.635839\pi\) | |||||||
\(510\) | −3.95518 | −0.175138 | ||||||||
\(511\) | 1.54704 | 0.0684371 | ||||||||
\(512\) | −147.801 | −6.53193 | ||||||||
\(513\) | −4.20197 | −0.185521 | ||||||||
\(514\) | −21.0777 | −0.929698 | ||||||||
\(515\) | 3.74222 | 0.164902 | ||||||||
\(516\) | 54.2758 | 2.38936 | ||||||||
\(517\) | 21.8686 | 0.961779 | ||||||||
\(518\) | −2.99446 | −0.131569 | ||||||||
\(519\) | −3.49995 | −0.153631 | ||||||||
\(520\) | −16.7272 | −0.733538 | ||||||||
\(521\) | 4.03970 | 0.176983 | 0.0884913 | − | 0.996077i | \(-0.471795\pi\) | ||||
0.0884913 | + | 0.996077i | \(0.471795\pi\) | |||||||
\(522\) | −13.4385 | −0.588186 | ||||||||
\(523\) | 1.66124 | 0.0726411 | 0.0363205 | − | 0.999340i | \(-0.488436\pi\) | ||||
0.0363205 | + | 0.999340i | \(0.488436\pi\) | |||||||
\(524\) | 55.0482 | 2.40479 | ||||||||
\(525\) | −4.80739 | −0.209812 | ||||||||
\(526\) | 75.0498 | 3.27233 | ||||||||
\(527\) | −13.9879 | −0.609321 | ||||||||
\(528\) | 92.8808 | 4.04212 | ||||||||
\(529\) | 10.0279 | 0.435994 | ||||||||
\(530\) | −3.36383 | −0.146115 | ||||||||
\(531\) | 10.0082 | 0.434319 | ||||||||
\(532\) | −24.4249 | −1.05895 | ||||||||
\(533\) | −17.5687 | −0.760986 | ||||||||
\(534\) | 40.8329 | 1.76701 | ||||||||
\(535\) | −2.48544 | −0.107455 | ||||||||
\(536\) | 30.6221 | 1.32267 | ||||||||
\(537\) | −15.8138 | −0.682414 | ||||||||
\(538\) | −66.7484 | −2.87773 | ||||||||
\(539\) | −5.11393 | −0.220273 | ||||||||
\(540\) | −2.55107 | −0.109780 | ||||||||
\(541\) | −11.7976 | −0.507218 | −0.253609 | − | 0.967307i | \(-0.581618\pi\) | ||||
−0.253609 | + | 0.967307i | \(0.581618\pi\) | |||||||
\(542\) | −44.0664 | −1.89281 | ||||||||
\(543\) | 11.7949 | 0.506166 | ||||||||
\(544\) | 94.9588 | 4.07133 | ||||||||
\(545\) | −2.24821 | −0.0963029 | ||||||||
\(546\) | −9.99647 | −0.427809 | ||||||||
\(547\) | −0.354746 | −0.0151678 | −0.00758392 | − | 0.999971i | \(-0.502414\pi\) | ||||
−0.00758392 | + | 0.999971i | \(0.502414\pi\) | |||||||
\(548\) | 77.0786 | 3.29263 | ||||||||
\(549\) | −2.23200 | −0.0952596 | ||||||||
\(550\) | −68.7172 | −2.93011 | ||||||||
\(551\) | 20.2023 | 0.860648 | ||||||||
\(552\) | 61.2459 | 2.60680 | ||||||||
\(553\) | 7.00338 | 0.297814 | ||||||||
\(554\) | −26.8438 | −1.14048 | ||||||||
\(555\) | 0.470175 | 0.0199578 | ||||||||
\(556\) | −69.1716 | −2.93353 | ||||||||
\(557\) | −35.3669 | −1.49854 | −0.749272 | − | 0.662262i | \(-0.769597\pi\) | ||||
−0.749272 | + | 0.662262i | \(0.769597\pi\) | |||||||
\(558\) | −12.1263 | −0.513349 | ||||||||
\(559\) | −33.3943 | −1.41243 | ||||||||
\(560\) | −7.97101 | −0.336837 | ||||||||
\(561\) | −16.4884 | −0.696139 | ||||||||
\(562\) | −2.53210 | −0.106810 | ||||||||
\(563\) | 17.7533 | 0.748213 | 0.374107 | − | 0.927386i | \(-0.377949\pi\) | ||||
0.374107 | + | 0.927386i | \(0.377949\pi\) | |||||||
\(564\) | 24.8568 | 1.04666 | ||||||||
\(565\) | −7.20792 | −0.303240 | ||||||||
\(566\) | 46.4464 | 1.95229 | ||||||||
\(567\) | −1.00000 | −0.0419961 | ||||||||
\(568\) | 90.9453 | 3.81598 | ||||||||
\(569\) | 33.1380 | 1.38922 | 0.694609 | − | 0.719387i | \(-0.255577\pi\) | ||||
0.694609 | + | 0.719387i | \(0.255577\pi\) | |||||||
\(570\) | 5.15461 | 0.215903 | ||||||||
\(571\) | 9.18992 | 0.384586 | 0.192293 | − | 0.981338i | \(-0.438408\pi\) | ||||
0.192293 | + | 0.981338i | \(0.438408\pi\) | |||||||
\(572\) | −106.311 | −4.44510 | ||||||||
\(573\) | −1.00000 | −0.0417756 | ||||||||
\(574\) | −13.7308 | −0.573113 | ||||||||
\(575\) | −27.6280 | −1.15217 | ||||||||
\(576\) | 45.9970 | 1.91654 | ||||||||
\(577\) | −16.5673 | −0.689707 | −0.344853 | − | 0.938657i | \(-0.612071\pi\) | ||||
−0.344853 | + | 0.938657i | \(0.612071\pi\) | |||||||
\(578\) | 18.4604 | 0.767851 | ||||||||
\(579\) | −13.9096 | −0.578062 | ||||||||
\(580\) | 12.2651 | 0.509280 | ||||||||
\(581\) | −6.26712 | −0.260004 | ||||||||
\(582\) | 26.0512 | 1.07986 | ||||||||
\(583\) | −14.0231 | −0.580779 | ||||||||
\(584\) | 16.4869 | 0.682232 | ||||||||
\(585\) | 1.56959 | 0.0648947 | ||||||||
\(586\) | −64.6283 | −2.66977 | ||||||||
\(587\) | −7.92173 | −0.326965 | −0.163482 | − | 0.986546i | \(-0.552273\pi\) | ||||
−0.163482 | + | 0.986546i | \(0.552273\pi\) | |||||||
\(588\) | −5.81272 | −0.239713 | ||||||||
\(589\) | 18.2298 | 0.751145 | ||||||||
\(590\) | −12.2772 | −0.505444 | ||||||||
\(591\) | −15.3562 | −0.631671 | ||||||||
\(592\) | −19.4576 | −0.799702 | ||||||||
\(593\) | 42.4401 | 1.74280 | 0.871402 | − | 0.490570i | \(-0.163211\pi\) | ||||
0.871402 | + | 0.490570i | \(0.163211\pi\) | |||||||
\(594\) | −14.2941 | −0.586493 | ||||||||
\(595\) | 1.41503 | 0.0580105 | ||||||||
\(596\) | 89.6808 | 3.67347 | ||||||||
\(597\) | −4.34907 | −0.177995 | ||||||||
\(598\) | −57.4496 | −2.34929 | ||||||||
\(599\) | 5.29945 | 0.216530 | 0.108265 | − | 0.994122i | \(-0.465471\pi\) | ||||
0.108265 | + | 0.994122i | \(0.465471\pi\) | |||||||
\(600\) | −51.2325 | −2.09156 | ||||||||
\(601\) | 45.4937 | 1.85573 | 0.927864 | − | 0.372918i | \(-0.121643\pi\) | ||||
0.927864 | + | 0.372918i | \(0.121643\pi\) | |||||||
\(602\) | −26.0992 | −1.06373 | ||||||||
\(603\) | −2.87342 | −0.117015 | ||||||||
\(604\) | 133.441 | 5.42964 | ||||||||
\(605\) | 6.64998 | 0.270360 | ||||||||
\(606\) | −20.9918 | −0.852732 | ||||||||
\(607\) | −27.4040 | −1.11229 | −0.556147 | − | 0.831084i | \(-0.687721\pi\) | ||||
−0.556147 | + | 0.831084i | \(0.687721\pi\) | |||||||
\(608\) | −123.756 | −5.01895 | ||||||||
\(609\) | 4.80783 | 0.194823 | ||||||||
\(610\) | 2.73803 | 0.110860 | ||||||||
\(611\) | −15.2937 | −0.618715 | ||||||||
\(612\) | −18.7414 | −0.757577 | ||||||||
\(613\) | 3.40430 | 0.137498 | 0.0687492 | − | 0.997634i | \(-0.478099\pi\) | ||||
0.0687492 | + | 0.997634i | \(0.478099\pi\) | |||||||
\(614\) | 46.7820 | 1.88797 | ||||||||
\(615\) | 2.15594 | 0.0869360 | ||||||||
\(616\) | −54.4994 | −2.19584 | ||||||||
\(617\) | 40.4112 | 1.62689 | 0.813447 | − | 0.581639i | \(-0.197588\pi\) | ||||
0.813447 | + | 0.581639i | \(0.197588\pi\) | |||||||
\(618\) | 23.8336 | 0.958726 | ||||||||
\(619\) | 32.6621 | 1.31280 | 0.656400 | − | 0.754413i | \(-0.272078\pi\) | ||||
0.656400 | + | 0.754413i | \(0.272078\pi\) | |||||||
\(620\) | 11.0675 | 0.444482 | ||||||||
\(621\) | −5.74699 | −0.230619 | ||||||||
\(622\) | 31.4830 | 1.26235 | ||||||||
\(623\) | −14.6086 | −0.585281 | ||||||||
\(624\) | −64.9556 | −2.60030 | ||||||||
\(625\) | 22.1479 | 0.885917 | ||||||||
\(626\) | −41.2109 | −1.64712 | ||||||||
\(627\) | 21.4886 | 0.858170 | ||||||||
\(628\) | −18.0987 | −0.722218 | ||||||||
\(629\) | 3.45415 | 0.137726 | ||||||||
\(630\) | 1.22671 | 0.0488735 | ||||||||
\(631\) | −5.47414 | −0.217922 | −0.108961 | − | 0.994046i | \(-0.534752\pi\) | ||||
−0.108961 | + | 0.994046i | \(0.534752\pi\) | |||||||
\(632\) | 74.6353 | 2.96883 | ||||||||
\(633\) | 17.4608 | 0.694005 | ||||||||
\(634\) | −46.0780 | −1.82999 | ||||||||
\(635\) | −0.720726 | −0.0286012 | ||||||||
\(636\) | −15.9393 | −0.632036 | ||||||||
\(637\) | 3.57639 | 0.141702 | ||||||||
\(638\) | 68.7235 | 2.72079 | ||||||||
\(639\) | −8.53382 | −0.337593 | ||||||||
\(640\) | −30.5737 | −1.20853 | ||||||||
\(641\) | −12.9623 | −0.511982 | −0.255991 | − | 0.966679i | \(-0.582402\pi\) | ||||
−0.255991 | + | 0.966679i | \(0.582402\pi\) | |||||||
\(642\) | −15.8293 | −0.624734 | ||||||||
\(643\) | 36.6812 | 1.44656 | 0.723282 | − | 0.690553i | \(-0.242633\pi\) | ||||
0.723282 | + | 0.690553i | \(0.242633\pi\) | |||||||
\(644\) | −33.4056 | −1.31637 | ||||||||
\(645\) | 4.09797 | 0.161357 | ||||||||
\(646\) | 37.8684 | 1.48991 | ||||||||
\(647\) | −10.3424 | −0.406600 | −0.203300 | − | 0.979116i | \(-0.565167\pi\) | ||||
−0.203300 | + | 0.979116i | \(0.565167\pi\) | |||||||
\(648\) | −10.6570 | −0.418648 | ||||||||
\(649\) | −51.1812 | −2.00904 | ||||||||
\(650\) | 48.0569 | 1.88495 | ||||||||
\(651\) | 4.33839 | 0.170035 | ||||||||
\(652\) | −101.261 | −3.96567 | ||||||||
\(653\) | 14.7202 | 0.576046 | 0.288023 | − | 0.957623i | \(-0.407002\pi\) | ||||
0.288023 | + | 0.957623i | \(0.407002\pi\) | |||||||
\(654\) | −14.3185 | −0.559897 | ||||||||
\(655\) | 4.15629 | 0.162400 | ||||||||
\(656\) | −89.2208 | −3.48349 | ||||||||
\(657\) | −1.54704 | −0.0603558 | ||||||||
\(658\) | −11.9527 | −0.465966 | ||||||||
\(659\) | −20.1513 | −0.784985 | −0.392493 | − | 0.919755i | \(-0.628387\pi\) | ||||
−0.392493 | + | 0.919755i | \(0.628387\pi\) | |||||||
\(660\) | 13.0460 | 0.507814 | ||||||||
\(661\) | −32.8745 | −1.27867 | −0.639334 | − | 0.768929i | \(-0.720790\pi\) | ||||
−0.639334 | + | 0.768929i | \(0.720790\pi\) | |||||||
\(662\) | −61.1176 | −2.37540 | ||||||||
\(663\) | 11.5310 | 0.447828 | ||||||||
\(664\) | −66.7890 | −2.59192 | ||||||||
\(665\) | −1.84414 | −0.0715128 | ||||||||
\(666\) | 2.99446 | 0.116033 | ||||||||
\(667\) | 27.6305 | 1.06986 | ||||||||
\(668\) | −88.4412 | −3.42189 | ||||||||
\(669\) | 1.32547 | 0.0512456 | ||||||||
\(670\) | 3.52486 | 0.136177 | ||||||||
\(671\) | 11.4143 | 0.440645 | ||||||||
\(672\) | −29.4518 | −1.13613 | ||||||||
\(673\) | −22.5830 | −0.870511 | −0.435256 | − | 0.900307i | \(-0.643342\pi\) | ||||
−0.435256 | + | 0.900307i | \(0.643342\pi\) | |||||||
\(674\) | −42.2022 | −1.62557 | ||||||||
\(675\) | 4.80739 | 0.185036 | ||||||||
\(676\) | −1.21721 | −0.0468159 | ||||||||
\(677\) | 24.5641 | 0.944074 | 0.472037 | − | 0.881579i | \(-0.343519\pi\) | ||||
0.472037 | + | 0.881579i | \(0.343519\pi\) | |||||||
\(678\) | −45.9060 | −1.76301 | ||||||||
\(679\) | −9.32022 | −0.357677 | ||||||||
\(680\) | 15.0800 | 0.578292 | ||||||||
\(681\) | 25.1595 | 0.964115 | ||||||||
\(682\) | 62.0133 | 2.37461 | ||||||||
\(683\) | −17.5757 | −0.672516 | −0.336258 | − | 0.941770i | \(-0.609161\pi\) | ||||
−0.336258 | + | 0.941770i | \(0.609161\pi\) | |||||||
\(684\) | 24.4249 | 0.933908 | ||||||||
\(685\) | 5.81964 | 0.222357 | ||||||||
\(686\) | 2.79513 | 0.106718 | ||||||||
\(687\) | −18.6387 | −0.711112 | ||||||||
\(688\) | −169.589 | −6.46552 | ||||||||
\(689\) | 9.80699 | 0.373617 | ||||||||
\(690\) | 7.04991 | 0.268385 | ||||||||
\(691\) | −10.6386 | −0.404713 | −0.202357 | − | 0.979312i | \(-0.564860\pi\) | ||||
−0.202357 | + | 0.979312i | \(0.564860\pi\) | |||||||
\(692\) | 20.3442 | 0.773372 | ||||||||
\(693\) | 5.11393 | 0.194262 | ||||||||
\(694\) | −82.7380 | −3.14069 | ||||||||
\(695\) | −5.22264 | −0.198106 | ||||||||
\(696\) | 51.2372 | 1.94214 | ||||||||
\(697\) | 15.8386 | 0.599931 | ||||||||
\(698\) | −43.1318 | −1.63256 | ||||||||
\(699\) | 16.1829 | 0.612094 | ||||||||
\(700\) | 27.9440 | 1.05618 | ||||||||
\(701\) | 36.6179 | 1.38304 | 0.691520 | − | 0.722357i | \(-0.256941\pi\) | ||||
0.691520 | + | 0.722357i | \(0.256941\pi\) | |||||||
\(702\) | 9.99647 | 0.377292 | ||||||||
\(703\) | −4.50163 | −0.169782 | ||||||||
\(704\) | −235.225 | −8.86539 | ||||||||
\(705\) | 1.87676 | 0.0706827 | ||||||||
\(706\) | −73.9739 | −2.78404 | ||||||||
\(707\) | 7.51014 | 0.282448 | ||||||||
\(708\) | −58.1749 | −2.18635 | ||||||||
\(709\) | 39.8295 | 1.49583 | 0.747914 | − | 0.663796i | \(-0.231056\pi\) | ||||
0.747914 | + | 0.663796i | \(0.231056\pi\) | |||||||
\(710\) | 10.4686 | 0.392878 | ||||||||
\(711\) | −7.00338 | −0.262647 | ||||||||
\(712\) | −155.684 | −5.83452 | ||||||||
\(713\) | 24.9327 | 0.933736 | ||||||||
\(714\) | 9.01206 | 0.337268 | ||||||||
\(715\) | −8.02680 | −0.300185 | ||||||||
\(716\) | 91.9211 | 3.43525 | ||||||||
\(717\) | −23.6342 | −0.882636 | ||||||||
\(718\) | 9.65027 | 0.360145 | ||||||||
\(719\) | 42.6300 | 1.58983 | 0.794915 | − | 0.606721i | \(-0.207516\pi\) | ||||
0.794915 | + | 0.606721i | \(0.207516\pi\) | |||||||
\(720\) | 7.97101 | 0.297062 | ||||||||
\(721\) | −8.52683 | −0.317556 | ||||||||
\(722\) | 3.75521 | 0.139754 | ||||||||
\(723\) | −27.7039 | −1.03032 | ||||||||
\(724\) | −68.5602 | −2.54802 | ||||||||
\(725\) | −23.1131 | −0.858399 | ||||||||
\(726\) | 42.3525 | 1.57185 | ||||||||
\(727\) | −41.1125 | −1.52478 | −0.762388 | − | 0.647120i | \(-0.775973\pi\) | ||||
−0.762388 | + | 0.647120i | \(0.775973\pi\) | |||||||
\(728\) | 38.1138 | 1.41259 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 1.89778 | 0.0702399 | ||||||||
\(731\) | 30.1057 | 1.11350 | ||||||||
\(732\) | 12.9740 | 0.479534 | ||||||||
\(733\) | −18.4931 | −0.683058 | −0.341529 | − | 0.939871i | \(-0.610945\pi\) | ||||
−0.341529 | + | 0.939871i | \(0.610945\pi\) | |||||||
\(734\) | 22.6479 | 0.835949 | ||||||||
\(735\) | −0.438876 | −0.0161882 | ||||||||
\(736\) | −169.259 | −6.23898 | ||||||||
\(737\) | 14.6945 | 0.541277 | ||||||||
\(738\) | 13.7308 | 0.505438 | ||||||||
\(739\) | 10.0368 | 0.369209 | 0.184605 | − | 0.982813i | \(-0.440900\pi\) | ||||
0.184605 | + | 0.982813i | \(0.440900\pi\) | |||||||
\(740\) | −2.73300 | −0.100467 | ||||||||
\(741\) | −15.0279 | −0.552063 | ||||||||
\(742\) | 7.66464 | 0.281378 | ||||||||
\(743\) | 19.6515 | 0.720943 | 0.360471 | − | 0.932770i | \(-0.382616\pi\) | ||||
0.360471 | + | 0.932770i | \(0.382616\pi\) | |||||||
\(744\) | 46.2344 | 1.69504 | ||||||||
\(745\) | 6.77114 | 0.248075 | ||||||||
\(746\) | 70.3517 | 2.57576 | ||||||||
\(747\) | 6.26712 | 0.229302 | ||||||||
\(748\) | 95.8423 | 3.50434 | ||||||||
\(749\) | 5.66320 | 0.206929 | ||||||||
\(750\) | −12.0309 | −0.439305 | ||||||||
\(751\) | −48.9085 | −1.78470 | −0.892348 | − | 0.451347i | \(-0.850944\pi\) | ||||
−0.892348 | + | 0.451347i | \(0.850944\pi\) | |||||||
\(752\) | −77.6671 | −2.83223 | ||||||||
\(753\) | 30.2060 | 1.10077 | ||||||||
\(754\) | −48.0613 | −1.75029 | ||||||||
\(755\) | 10.0752 | 0.366673 | ||||||||
\(756\) | 5.81272 | 0.211407 | ||||||||
\(757\) | 32.5184 | 1.18190 | 0.590950 | − | 0.806708i | \(-0.298753\pi\) | ||||
0.590950 | + | 0.806708i | \(0.298753\pi\) | |||||||
\(758\) | −54.5115 | −1.97995 | ||||||||
\(759\) | 29.3897 | 1.06678 | ||||||||
\(760\) | −19.6531 | −0.712893 | ||||||||
\(761\) | 29.9107 | 1.08426 | 0.542131 | − | 0.840294i | \(-0.317618\pi\) | ||||
0.542131 | + | 0.840294i | \(0.317618\pi\) | |||||||
\(762\) | −4.59018 | −0.166285 | ||||||||
\(763\) | 5.12266 | 0.185453 | ||||||||
\(764\) | 5.81272 | 0.210297 | ||||||||
\(765\) | −1.41503 | −0.0511604 | ||||||||
\(766\) | 3.64555 | 0.131719 | ||||||||
\(767\) | 35.7933 | 1.29242 | ||||||||
\(768\) | −102.725 | −3.70675 | ||||||||
\(769\) | 35.5130 | 1.28063 | 0.640316 | − | 0.768112i | \(-0.278803\pi\) | ||||
0.640316 | + | 0.768112i | \(0.278803\pi\) | |||||||
\(770\) | −6.27333 | −0.226075 | ||||||||
\(771\) | −7.54089 | −0.271578 | ||||||||
\(772\) | 80.8525 | 2.90994 | ||||||||
\(773\) | 23.6448 | 0.850445 | 0.425222 | − | 0.905089i | \(-0.360196\pi\) | ||||
0.425222 | + | 0.905089i | \(0.360196\pi\) | |||||||
\(774\) | 26.0992 | 0.938118 | ||||||||
\(775\) | −20.8563 | −0.749181 | ||||||||
\(776\) | −99.3260 | −3.56560 | ||||||||
\(777\) | −1.07132 | −0.0384333 | ||||||||
\(778\) | −43.2923 | −1.55210 | ||||||||
\(779\) | −20.6418 | −0.739569 | ||||||||
\(780\) | −9.12362 | −0.326678 | ||||||||
\(781\) | 43.6414 | 1.56161 | ||||||||
\(782\) | 51.7922 | 1.85208 | ||||||||
\(783\) | −4.80783 | −0.171818 | ||||||||
\(784\) | 18.1623 | 0.648654 | ||||||||
\(785\) | −1.36650 | −0.0487726 | ||||||||
\(786\) | 26.4707 | 0.944177 | ||||||||
\(787\) | 18.0330 | 0.642807 | 0.321403 | − | 0.946942i | \(-0.395845\pi\) | ||||
0.321403 | + | 0.946942i | \(0.395845\pi\) | |||||||
\(788\) | 89.2616 | 3.17981 | ||||||||
\(789\) | 26.8503 | 0.955894 | ||||||||
\(790\) | 8.59115 | 0.305659 | ||||||||
\(791\) | 16.4236 | 0.583956 | ||||||||
\(792\) | 54.4994 | 1.93655 | ||||||||
\(793\) | −7.98252 | −0.283468 | ||||||||
\(794\) | −87.8807 | −3.11877 | ||||||||
\(795\) | −1.20346 | −0.0426824 | ||||||||
\(796\) | 25.2799 | 0.896023 | ||||||||
\(797\) | 35.9599 | 1.27377 | 0.636883 | − | 0.770960i | \(-0.280223\pi\) | ||||
0.636883 | + | 0.770960i | \(0.280223\pi\) | |||||||
\(798\) | −11.7450 | −0.415769 | ||||||||
\(799\) | 13.7876 | 0.487770 | ||||||||
\(800\) | 141.586 | 5.00584 | ||||||||
\(801\) | 14.6086 | 0.516169 | ||||||||
\(802\) | 39.0514 | 1.37895 | ||||||||
\(803\) | 7.91146 | 0.279189 | ||||||||
\(804\) | 16.7024 | 0.589048 | ||||||||
\(805\) | −2.52222 | −0.0888964 | ||||||||
\(806\) | −43.3686 | −1.52759 | ||||||||
\(807\) | −23.8803 | −0.840626 | ||||||||
\(808\) | 80.0358 | 2.81565 | ||||||||
\(809\) | 7.15677 | 0.251619 | 0.125809 | − | 0.992054i | \(-0.459847\pi\) | ||||
0.125809 | + | 0.992054i | \(0.459847\pi\) | |||||||
\(810\) | −1.22671 | −0.0431023 | ||||||||
\(811\) | −52.8781 | −1.85680 | −0.928400 | − | 0.371583i | \(-0.878815\pi\) | ||||
−0.928400 | + | 0.371583i | \(0.878815\pi\) | |||||||
\(812\) | −27.9466 | −0.980733 | ||||||||
\(813\) | −15.7654 | −0.552918 | ||||||||
\(814\) | −15.3135 | −0.536737 | ||||||||
\(815\) | −7.64545 | −0.267809 | ||||||||
\(816\) | 58.5590 | 2.04998 | ||||||||
\(817\) | −39.2355 | −1.37268 | ||||||||
\(818\) | −105.740 | −3.69711 | ||||||||
\(819\) | −3.57639 | −0.124969 | ||||||||
\(820\) | −12.5319 | −0.437633 | ||||||||
\(821\) | 15.2852 | 0.533457 | 0.266728 | − | 0.963772i | \(-0.414057\pi\) | ||||
0.266728 | + | 0.963772i | \(0.414057\pi\) | |||||||
\(822\) | 37.0643 | 1.29276 | ||||||||
\(823\) | 5.78334 | 0.201595 | 0.100797 | − | 0.994907i | \(-0.467861\pi\) | ||||
0.100797 | + | 0.994907i | \(0.467861\pi\) | |||||||
\(824\) | −90.8708 | −3.16563 | ||||||||
\(825\) | −24.5846 | −0.855928 | ||||||||
\(826\) | 27.9742 | 0.973346 | ||||||||
\(827\) | 44.9937 | 1.56459 | 0.782293 | − | 0.622911i | \(-0.214050\pi\) | ||||
0.782293 | + | 0.622911i | \(0.214050\pi\) | |||||||
\(828\) | 33.4056 | 1.16093 | ||||||||
\(829\) | −43.7872 | −1.52079 | −0.760396 | − | 0.649459i | \(-0.774995\pi\) | ||||
−0.760396 | + | 0.649459i | \(0.774995\pi\) | |||||||
\(830\) | −7.68797 | −0.266853 | ||||||||
\(831\) | −9.60378 | −0.333152 | ||||||||
\(832\) | 164.503 | 5.70313 | ||||||||
\(833\) | −3.22421 | −0.111712 | ||||||||
\(834\) | −33.2621 | −1.15177 | ||||||||
\(835\) | −6.67755 | −0.231086 | ||||||||
\(836\) | −124.907 | −4.32000 | ||||||||
\(837\) | −4.33839 | −0.149957 | ||||||||
\(838\) | −72.1525 | −2.49247 | ||||||||
\(839\) | −12.7852 | −0.441396 | −0.220698 | − | 0.975342i | \(-0.570833\pi\) | ||||
−0.220698 | + | 0.975342i | \(0.570833\pi\) | |||||||
\(840\) | −4.67712 | −0.161376 | ||||||||
\(841\) | −5.88478 | −0.202924 | ||||||||
\(842\) | 5.50145 | 0.189593 | ||||||||
\(843\) | −0.905900 | −0.0312009 | ||||||||
\(844\) | −101.495 | −3.49360 | ||||||||
\(845\) | −0.0919028 | −0.00316155 | ||||||||
\(846\) | 11.9527 | 0.410943 | ||||||||
\(847\) | −15.1523 | −0.520639 | ||||||||
\(848\) | 49.8037 | 1.71027 | ||||||||
\(849\) | 16.6169 | 0.570292 | ||||||||
\(850\) | −43.3245 | −1.48602 | ||||||||
\(851\) | −6.15684 | −0.211054 | ||||||||
\(852\) | 49.6047 | 1.69943 | ||||||||
\(853\) | −23.1114 | −0.791320 | −0.395660 | − | 0.918397i | \(-0.629484\pi\) | ||||
−0.395660 | + | 0.918397i | \(0.629484\pi\) | |||||||
\(854\) | −6.23873 | −0.213485 | ||||||||
\(855\) | 1.84414 | 0.0630684 | ||||||||
\(856\) | 60.3529 | 2.06282 | ||||||||
\(857\) | −16.9975 | −0.580624 | −0.290312 | − | 0.956932i | \(-0.593759\pi\) | ||||
−0.290312 | + | 0.956932i | \(0.593759\pi\) | |||||||
\(858\) | −51.1212 | −1.74525 | ||||||||
\(859\) | −13.9685 | −0.476598 | −0.238299 | − | 0.971192i | \(-0.576590\pi\) | ||||
−0.238299 | + | 0.971192i | \(0.576590\pi\) | |||||||
\(860\) | −23.8204 | −0.812267 | ||||||||
\(861\) | −4.91241 | −0.167415 | ||||||||
\(862\) | 7.48858 | 0.255062 | ||||||||
\(863\) | 44.5075 | 1.51505 | 0.757526 | − | 0.652805i | \(-0.226408\pi\) | ||||
0.757526 | + | 0.652805i | \(0.226408\pi\) | |||||||
\(864\) | 29.4518 | 1.00197 | ||||||||
\(865\) | 1.53604 | 0.0522271 | ||||||||
\(866\) | −115.590 | −3.92791 | ||||||||
\(867\) | 6.60449 | 0.224300 | ||||||||
\(868\) | −25.2179 | −0.855950 | ||||||||
\(869\) | 35.8148 | 1.21493 | ||||||||
\(870\) | 5.89783 | 0.199955 | ||||||||
\(871\) | −10.2765 | −0.348205 | ||||||||
\(872\) | 54.5924 | 1.84873 | ||||||||
\(873\) | 9.32022 | 0.315442 | ||||||||
\(874\) | −67.4985 | −2.28317 | ||||||||
\(875\) | 4.30423 | 0.145510 | ||||||||
\(876\) | 8.99252 | 0.303829 | ||||||||
\(877\) | 7.27246 | 0.245573 | 0.122787 | − | 0.992433i | \(-0.460817\pi\) | ||||
0.122787 | + | 0.992433i | \(0.460817\pi\) | |||||||
\(878\) | 36.4617 | 1.23052 | ||||||||
\(879\) | −23.1218 | −0.779878 | ||||||||
\(880\) | −40.7632 | −1.37413 | ||||||||
\(881\) | −3.49977 | −0.117910 | −0.0589551 | − | 0.998261i | \(-0.518777\pi\) | ||||
−0.0589551 | + | 0.998261i | \(0.518777\pi\) | |||||||
\(882\) | −2.79513 | −0.0941168 | ||||||||
\(883\) | 39.2050 | 1.31935 | 0.659677 | − | 0.751549i | \(-0.270693\pi\) | ||||
0.659677 | + | 0.751549i | \(0.270693\pi\) | |||||||
\(884\) | −67.0267 | −2.25435 | ||||||||
\(885\) | −4.39236 | −0.147648 | ||||||||
\(886\) | −54.1853 | −1.82039 | ||||||||
\(887\) | 2.50017 | 0.0839476 | 0.0419738 | − | 0.999119i | \(-0.486635\pi\) | ||||
0.0419738 | + | 0.999119i | \(0.486635\pi\) | |||||||
\(888\) | −11.4171 | −0.383131 | ||||||||
\(889\) | 1.64221 | 0.0550779 | ||||||||
\(890\) | −17.9206 | −0.600699 | ||||||||
\(891\) | −5.11393 | −0.171323 | ||||||||
\(892\) | −7.70459 | −0.257969 | ||||||||
\(893\) | −17.9688 | −0.601302 | ||||||||
\(894\) | 43.1242 | 1.44229 | ||||||||
\(895\) | 6.94029 | 0.231988 | ||||||||
\(896\) | 69.6636 | 2.32730 | ||||||||
\(897\) | −20.5535 | −0.686261 | ||||||||
\(898\) | −9.66491 | −0.322522 | ||||||||
\(899\) | 20.8582 | 0.695661 | ||||||||
\(900\) | −27.9440 | −0.931467 | ||||||||
\(901\) | −8.84124 | −0.294544 | ||||||||
\(902\) | −70.2184 | −2.33802 | ||||||||
\(903\) | −9.33741 | −0.310730 | ||||||||
\(904\) | 175.027 | 5.82131 | ||||||||
\(905\) | −5.17648 | −0.172072 | ||||||||
\(906\) | 64.1669 | 2.13180 | ||||||||
\(907\) | 59.1752 | 1.96488 | 0.982441 | − | 0.186575i | \(-0.0597389\pi\) | ||||
0.982441 | + | 0.186575i | \(0.0597389\pi\) | |||||||
\(908\) | −146.245 | −4.85332 | ||||||||
\(909\) | −7.51014 | −0.249096 | ||||||||
\(910\) | 4.38721 | 0.145435 | ||||||||
\(911\) | −43.1779 | −1.43055 | −0.715274 | − | 0.698844i | \(-0.753698\pi\) | ||||
−0.715274 | + | 0.698844i | \(0.753698\pi\) | |||||||
\(912\) | −76.3174 | −2.52712 | ||||||||
\(913\) | −32.0496 | −1.06069 | ||||||||
\(914\) | −20.5623 | −0.680140 | ||||||||
\(915\) | 0.979573 | 0.0323837 | ||||||||
\(916\) | 108.342 | 3.57972 | ||||||||
\(917\) | −9.47030 | −0.312737 | ||||||||
\(918\) | −9.01206 | −0.297442 | ||||||||
\(919\) | 8.46844 | 0.279348 | 0.139674 | − | 0.990198i | \(-0.455395\pi\) | ||||
0.139674 | + | 0.990198i | \(0.455395\pi\) | |||||||
\(920\) | −26.8794 | −0.886186 | ||||||||
\(921\) | 16.7370 | 0.551503 | ||||||||
\(922\) | 83.7268 | 2.75740 | ||||||||
\(923\) | −30.5203 | −1.00459 | ||||||||
\(924\) | −29.7259 | −0.977909 | ||||||||
\(925\) | 5.15023 | 0.169339 | ||||||||
\(926\) | −21.2678 | −0.698902 | ||||||||
\(927\) | 8.52683 | 0.280058 | ||||||||
\(928\) | −141.599 | −4.64823 | ||||||||
\(929\) | 7.16519 | 0.235082 | 0.117541 | − | 0.993068i | \(-0.462499\pi\) | ||||
0.117541 | + | 0.993068i | \(0.462499\pi\) | |||||||
\(930\) | 5.32196 | 0.174514 | ||||||||
\(931\) | 4.20197 | 0.137714 | ||||||||
\(932\) | −94.0668 | −3.08126 | ||||||||
\(933\) | 11.2635 | 0.368752 | ||||||||
\(934\) | −18.5035 | −0.605454 | ||||||||
\(935\) | 7.23635 | 0.236654 | ||||||||
\(936\) | −38.1138 | −1.24579 | ||||||||
\(937\) | 24.8796 | 0.812780 | 0.406390 | − | 0.913700i | \(-0.366787\pi\) | ||||
0.406390 | + | 0.913700i | \(0.366787\pi\) | |||||||
\(938\) | −8.03156 | −0.262240 | ||||||||
\(939\) | −14.7439 | −0.481148 | ||||||||
\(940\) | −10.9091 | −0.355815 | ||||||||
\(941\) | 13.9563 | 0.454962 | 0.227481 | − | 0.973782i | \(-0.426951\pi\) | ||||
0.227481 | + | 0.973782i | \(0.426951\pi\) | |||||||
\(942\) | −8.70302 | −0.283560 | ||||||||
\(943\) | −28.2316 | −0.919347 | ||||||||
\(944\) | 181.772 | 5.91617 | ||||||||
\(945\) | 0.438876 | 0.0142766 | ||||||||
\(946\) | −133.470 | −4.33947 | ||||||||
\(947\) | −11.6927 | −0.379963 | −0.189981 | − | 0.981788i | \(-0.560843\pi\) | ||||
−0.189981 | + | 0.981788i | \(0.560843\pi\) | |||||||
\(948\) | 40.7087 | 1.32216 | ||||||||
\(949\) | −5.53283 | −0.179603 | ||||||||
\(950\) | 56.4629 | 1.83190 | ||||||||
\(951\) | −16.4851 | −0.534567 | ||||||||
\(952\) | −34.3605 | −1.11363 | ||||||||
\(953\) | 0.621506 | 0.0201325 | 0.0100663 | − | 0.999949i | \(-0.496796\pi\) | ||||
0.0100663 | + | 0.999949i | \(0.496796\pi\) | |||||||
\(954\) | −7.66464 | −0.248152 | ||||||||
\(955\) | 0.438876 | 0.0142017 | ||||||||
\(956\) | 137.379 | 4.44316 | ||||||||
\(957\) | 24.5869 | 0.794782 | ||||||||
\(958\) | −74.3221 | −2.40124 | ||||||||
\(959\) | −13.2603 | −0.428198 | ||||||||
\(960\) | −20.1870 | −0.651532 | ||||||||
\(961\) | −12.1784 | −0.392851 | ||||||||
\(962\) | 10.7094 | 0.345284 | ||||||||
\(963\) | −5.66320 | −0.182494 | ||||||||
\(964\) | 161.035 | 5.18659 | ||||||||
\(965\) | 6.10458 | 0.196513 | ||||||||
\(966\) | −16.0635 | −0.516836 | ||||||||
\(967\) | 23.1558 | 0.744641 | 0.372320 | − | 0.928104i | \(-0.378562\pi\) | ||||
0.372320 | + | 0.928104i | \(0.378562\pi\) | |||||||
\(968\) | −161.479 | −5.19012 | ||||||||
\(969\) | 13.5480 | 0.435225 | ||||||||
\(970\) | −11.4333 | −0.367100 | ||||||||
\(971\) | 57.5786 | 1.84779 | 0.923893 | − | 0.382650i | \(-0.124989\pi\) | ||||
0.923893 | + | 0.382650i | \(0.124989\pi\) | |||||||
\(972\) | −5.81272 | −0.186443 | ||||||||
\(973\) | 11.9000 | 0.381498 | ||||||||
\(974\) | −45.8843 | −1.47023 | ||||||||
\(975\) | 17.1931 | 0.550620 | ||||||||
\(976\) | −40.5383 | −1.29760 | ||||||||
\(977\) | −32.8905 | −1.05226 | −0.526130 | − | 0.850404i | \(-0.676358\pi\) | ||||
−0.526130 | + | 0.850404i | \(0.676358\pi\) | |||||||
\(978\) | −48.6925 | −1.55702 | ||||||||
\(979\) | −74.7074 | −2.38766 | ||||||||
\(980\) | 2.55107 | 0.0814908 | ||||||||
\(981\) | −5.12266 | −0.163554 | ||||||||
\(982\) | −66.5832 | −2.12475 | ||||||||
\(983\) | −10.1993 | −0.325307 | −0.162653 | − | 0.986683i | \(-0.552005\pi\) | ||||
−0.162653 | + | 0.986683i | \(0.552005\pi\) | |||||||
\(984\) | −52.3518 | −1.66891 | ||||||||
\(985\) | 6.73949 | 0.214738 | ||||||||
\(986\) | 43.3284 | 1.37986 | ||||||||
\(987\) | −4.27628 | −0.136115 | ||||||||
\(988\) | 87.3529 | 2.77907 | ||||||||
\(989\) | −53.6620 | −1.70635 | ||||||||
\(990\) | 6.27333 | 0.199380 | ||||||||
\(991\) | −13.5660 | −0.430939 | −0.215469 | − | 0.976511i | \(-0.569128\pi\) | ||||
−0.215469 | + | 0.976511i | \(0.569128\pi\) | |||||||
\(992\) | −127.774 | −4.05682 | ||||||||
\(993\) | −21.8658 | −0.693890 | ||||||||
\(994\) | −23.8531 | −0.756574 | ||||||||
\(995\) | 1.90870 | 0.0605099 | ||||||||
\(996\) | −36.4291 | −1.15430 | ||||||||
\(997\) | −32.0886 | −1.01626 | −0.508128 | − | 0.861282i | \(-0.669662\pi\) | ||||
−0.508128 | + | 0.861282i | \(0.669662\pi\) | |||||||
\(998\) | 97.9188 | 3.09956 | ||||||||
\(999\) | 1.07132 | 0.0338949 |
(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 | 4011.2.a.j.1.1 | ✓ | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
4011.2.a.j.1.1 | ✓ | 26 | 1.1 | even | 1 | trivial |