Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(76,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.i (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 76.17 | ||
Character | \(\chi\) | \(=\) | 1155.76 |
Dual form | 1155.2.i.d.76.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.23885i | − | 1.58311i | −0.611100 | − | 0.791554i | \(-0.709273\pi\) | ||
0.611100 | − | 0.791554i | \(-0.290727\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −3.01246 | −1.50623 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 2.23885 | 0.914007 | ||||||||
\(7\) | 0.322004 | + | 2.62608i | 0.121706 | + | 0.992566i | ||||
\(8\) | 2.26674i | 0.801415i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.23885 | 0.707987 | ||||||||
\(11\) | −2.55226 | − | 2.11802i | −0.769534 | − | 0.638606i | ||||
\(12\) | − | 3.01246i | − | 0.869622i | ||||||
\(13\) | 0.842387 | 0.233636 | 0.116818 | − | 0.993153i | \(-0.462731\pi\) | ||||
0.116818 | + | 0.993153i | \(0.462731\pi\) | |||||||
\(14\) | 5.87941 | − | 0.720920i | 1.57134 | − | 0.192674i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | −0.950014 | −0.237504 | ||||||||
\(17\) | −3.42003 | −0.829479 | −0.414739 | − | 0.909940i | \(-0.636127\pi\) | ||||
−0.414739 | + | 0.909940i | \(0.636127\pi\) | |||||||
\(18\) | 2.23885i | 0.527702i | ||||||||
\(19\) | 6.30984 | 1.44758 | 0.723788 | − | 0.690022i | \(-0.242399\pi\) | ||||
0.723788 | + | 0.690022i | \(0.242399\pi\) | |||||||
\(20\) | − | 3.01246i | − | 0.673606i | ||||||
\(21\) | −2.62608 | + | 0.322004i | −0.573058 | + | 0.0702671i | ||||
\(22\) | −4.74192 | + | 5.71412i | −1.01098 | + | 1.21826i | ||||
\(23\) | −5.97493 | −1.24586 | −0.622929 | − | 0.782278i | \(-0.714058\pi\) | ||||
−0.622929 | + | 0.782278i | \(0.714058\pi\) | |||||||
\(24\) | −2.26674 | −0.462697 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 1.88598i | − | 0.369871i | ||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.970024 | − | 7.91096i | −0.183317 | − | 1.49503i | ||||
\(29\) | 9.40952i | 1.74730i | 0.486550 | + | 0.873652i | \(0.338255\pi\) | ||||
−0.486550 | + | 0.873652i | \(0.661745\pi\) | |||||||
\(30\) | 2.23885i | 0.408757i | ||||||||
\(31\) | 0.997372i | 0.179133i | 0.995981 | + | 0.0895666i | \(0.0285482\pi\) | ||||
−0.995981 | + | 0.0895666i | \(0.971452\pi\) | |||||||
\(32\) | 6.66043i | 1.17741i | ||||||||
\(33\) | 2.11802 | − | 2.55226i | 0.368699 | − | 0.444291i | ||||
\(34\) | 7.65694i | 1.31315i | ||||||||
\(35\) | −2.62608 | + | 0.322004i | −0.443889 | + | 0.0544286i | ||||
\(36\) | 3.01246 | 0.502076 | ||||||||
\(37\) | 1.41004 | 0.231810 | 0.115905 | − | 0.993260i | \(-0.463023\pi\) | ||||
0.115905 | + | 0.993260i | \(0.463023\pi\) | |||||||
\(38\) | − | 14.1268i | − | 2.29167i | ||||||
\(39\) | 0.842387i | 0.134890i | ||||||||
\(40\) | −2.26674 | −0.358403 | ||||||||
\(41\) | −10.3306 | −1.61337 | −0.806683 | − | 0.590984i | \(-0.798740\pi\) | ||||
−0.806683 | + | 0.590984i | \(0.798740\pi\) | |||||||
\(42\) | 0.720920 | + | 5.87941i | 0.111240 | + | 0.907213i | ||||
\(43\) | 10.0756i | 1.53652i | 0.640140 | + | 0.768258i | \(0.278876\pi\) | ||||
−0.640140 | + | 0.768258i | \(0.721124\pi\) | |||||||
\(44\) | 7.68856 | + | 6.38043i | 1.15909 | + | 0.961886i | ||||
\(45\) | − | 1.00000i | − | 0.149071i | ||||||
\(46\) | 13.3770i | 1.97233i | ||||||||
\(47\) | 8.10188i | 1.18178i | 0.806752 | + | 0.590891i | \(0.201224\pi\) | ||||
−0.806752 | + | 0.590891i | \(0.798776\pi\) | |||||||
\(48\) | − | 0.950014i | − | 0.137123i | ||||||
\(49\) | −6.79263 | + | 1.69122i | −0.970375 | + | 0.241603i | ||||
\(50\) | 2.23885i | 0.316621i | ||||||||
\(51\) | − | 3.42003i | − | 0.478900i | ||||||
\(52\) | −2.53766 | −0.351910 | ||||||||
\(53\) | −3.80872 | −0.523167 | −0.261584 | − | 0.965181i | \(-0.584245\pi\) | ||||
−0.261584 | + | 0.965181i | \(0.584245\pi\) | |||||||
\(54\) | −2.23885 | −0.304669 | ||||||||
\(55\) | 2.11802 | − | 2.55226i | 0.285593 | − | 0.344146i | ||||
\(56\) | −5.95266 | + | 0.729901i | −0.795457 | + | 0.0975371i | ||||
\(57\) | 6.30984i | 0.835759i | ||||||||
\(58\) | 21.0665 | 2.76617 | ||||||||
\(59\) | 10.7490i | 1.39940i | 0.714437 | + | 0.699700i | \(0.246683\pi\) | ||||
−0.714437 | + | 0.699700i | \(0.753317\pi\) | |||||||
\(60\) | 3.01246 | 0.388907 | ||||||||
\(61\) | −3.15296 | −0.403695 | −0.201848 | − | 0.979417i | \(-0.564695\pi\) | ||||
−0.201848 | + | 0.979417i | \(0.564695\pi\) | |||||||
\(62\) | 2.23297 | 0.283587 | ||||||||
\(63\) | −0.322004 | − | 2.62608i | −0.0405687 | − | 0.330855i | ||||
\(64\) | 13.0117 | 1.62646 | ||||||||
\(65\) | 0.842387i | 0.104485i | ||||||||
\(66\) | −5.71412 | − | 4.74192i | −0.703360 | − | 0.583690i | ||||
\(67\) | −11.4139 | −1.39442 | −0.697212 | − | 0.716865i | \(-0.745576\pi\) | ||||
−0.697212 | + | 0.716865i | \(0.745576\pi\) | |||||||
\(68\) | 10.3027 | 1.24939 | ||||||||
\(69\) | − | 5.97493i | − | 0.719297i | ||||||
\(70\) | 0.720920 | + | 5.87941i | 0.0861664 | + | 0.702724i | ||||
\(71\) | −4.24318 | −0.503573 | −0.251786 | − | 0.967783i | \(-0.581018\pi\) | ||||
−0.251786 | + | 0.967783i | \(0.581018\pi\) | |||||||
\(72\) | − | 2.26674i | − | 0.267138i | ||||||
\(73\) | 15.6260 | 1.82889 | 0.914445 | − | 0.404710i | \(-0.132628\pi\) | ||||
0.914445 | + | 0.404710i | \(0.132628\pi\) | |||||||
\(74\) | − | 3.15688i | − | 0.366980i | ||||||
\(75\) | − | 1.00000i | − | 0.115470i | ||||||
\(76\) | −19.0081 | −2.18038 | ||||||||
\(77\) | 4.74025 | − | 7.38445i | 0.540201 | − | 0.841536i | ||||
\(78\) | 1.88598 | 0.213545 | ||||||||
\(79\) | − | 14.3009i | − | 1.60898i | −0.593969 | − | 0.804488i | \(-0.702440\pi\) | ||
0.593969 | − | 0.804488i | \(-0.297560\pi\) | |||||||
\(80\) | − | 0.950014i | − | 0.106215i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 23.1286i | 2.55413i | ||||||||
\(83\) | −0.946456 | −0.103887 | −0.0519435 | − | 0.998650i | \(-0.516542\pi\) | ||||
−0.0519435 | + | 0.998650i | \(0.516542\pi\) | |||||||
\(84\) | 7.91096 | − | 0.970024i | 0.863157 | − | 0.105838i | ||||
\(85\) | − | 3.42003i | − | 0.370954i | ||||||
\(86\) | 22.5578 | 2.43247 | ||||||||
\(87\) | −9.40952 | −1.00881 | ||||||||
\(88\) | 4.80100 | − | 5.78531i | 0.511788 | − | 0.616716i | ||||
\(89\) | − | 17.4593i | − | 1.85068i | −0.379142 | − | 0.925339i | \(-0.623781\pi\) | ||
0.379142 | − | 0.925339i | \(-0.376219\pi\) | |||||||
\(90\) | −2.23885 | −0.235996 | ||||||||
\(91\) | 0.271252 | + | 2.21218i | 0.0284350 | + | 0.231899i | ||||
\(92\) | 17.9992 | 1.87655 | ||||||||
\(93\) | −0.997372 | −0.103423 | ||||||||
\(94\) | 18.1389 | 1.87089 | ||||||||
\(95\) | 6.30984i | 0.647376i | ||||||||
\(96\) | −6.66043 | −0.679777 | ||||||||
\(97\) | 17.6891i | 1.79605i | 0.439943 | + | 0.898026i | \(0.354999\pi\) | ||||
−0.439943 | + | 0.898026i | \(0.645001\pi\) | |||||||
\(98\) | 3.78639 | + | 15.2077i | 0.382483 | + | 1.53621i | ||||
\(99\) | 2.55226 | + | 2.11802i | 0.256511 | + | 0.212869i | ||||
\(100\) | 3.01246 | 0.301246 | ||||||||
\(101\) | 0.702211 | 0.0698727 | 0.0349363 | − | 0.999390i | \(-0.488877\pi\) | ||||
0.0349363 | + | 0.999390i | \(0.488877\pi\) | |||||||
\(102\) | −7.65694 | −0.758150 | ||||||||
\(103\) | − | 7.05904i | − | 0.695548i | −0.937578 | − | 0.347774i | \(-0.886938\pi\) | ||
0.937578 | − | 0.347774i | \(-0.113062\pi\) | |||||||
\(104\) | 1.90948i | 0.187239i | ||||||||
\(105\) | −0.322004 | − | 2.62608i | −0.0314244 | − | 0.256279i | ||||
\(106\) | 8.52715i | 0.828230i | ||||||||
\(107\) | − | 10.5977i | − | 1.02451i | −0.858832 | − | 0.512257i | \(-0.828810\pi\) | ||
0.858832 | − | 0.512257i | \(-0.171190\pi\) | |||||||
\(108\) | 3.01246i | 0.289874i | ||||||||
\(109\) | 8.56633i | 0.820505i | 0.911972 | + | 0.410253i | \(0.134559\pi\) | ||||
−0.911972 | + | 0.410253i | \(0.865441\pi\) | |||||||
\(110\) | −5.71412 | − | 4.74192i | −0.544820 | − | 0.452125i | ||||
\(111\) | 1.41004i | 0.133835i | ||||||||
\(112\) | −0.305909 | − | 2.49482i | −0.0289056 | − | 0.235738i | ||||
\(113\) | −1.51910 | −0.142905 | −0.0714526 | − | 0.997444i | \(-0.522763\pi\) | ||||
−0.0714526 | + | 0.997444i | \(0.522763\pi\) | |||||||
\(114\) | 14.1268 | 1.32310 | ||||||||
\(115\) | − | 5.97493i | − | 0.557165i | ||||||
\(116\) | − | 28.3458i | − | 2.63184i | ||||||
\(117\) | −0.842387 | −0.0778787 | ||||||||
\(118\) | 24.0654 | 2.21540 | ||||||||
\(119\) | −1.10126 | − | 8.98128i | −0.100953 | − | 0.823313i | ||||
\(120\) | − | 2.26674i | − | 0.206924i | ||||||
\(121\) | 2.02802 | + | 10.8114i | 0.184365 | + | 0.982858i | ||||
\(122\) | 7.05901i | 0.639093i | ||||||||
\(123\) | − | 10.3306i | − | 0.931477i | ||||||
\(124\) | − | 3.00454i | − | 0.269816i | ||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | −5.87941 | + | 0.720920i | −0.523780 | + | 0.0642246i | ||||
\(127\) | − | 4.72234i | − | 0.419040i | −0.977804 | − | 0.209520i | \(-0.932810\pi\) | ||
0.977804 | − | 0.209520i | \(-0.0671901\pi\) | |||||||
\(128\) | − | 15.8104i | − | 1.39745i | ||||||
\(129\) | −10.0756 | −0.887108 | ||||||||
\(130\) | 1.88598 | 0.165411 | ||||||||
\(131\) | 9.88715 | 0.863844 | 0.431922 | − | 0.901911i | \(-0.357836\pi\) | ||||
0.431922 | + | 0.901911i | \(0.357836\pi\) | |||||||
\(132\) | −6.38043 | + | 7.68856i | −0.555345 | + | 0.669203i | ||||
\(133\) | 2.03180 | + | 16.5702i | 0.176179 | + | 1.43682i | ||||
\(134\) | 25.5539i | 2.20752i | ||||||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | − | 7.75233i | − | 0.664757i | ||||||
\(137\) | −5.77144 | −0.493087 | −0.246544 | − | 0.969132i | \(-0.579295\pi\) | ||||
−0.246544 | + | 0.969132i | \(0.579295\pi\) | |||||||
\(138\) | −13.3770 | −1.13872 | ||||||||
\(139\) | −9.94116 | −0.843198 | −0.421599 | − | 0.906782i | \(-0.638531\pi\) | ||||
−0.421599 | + | 0.906782i | \(0.638531\pi\) | |||||||
\(140\) | 7.91096 | − | 0.970024i | 0.668599 | − | 0.0819820i | ||||
\(141\) | −8.10188 | −0.682302 | ||||||||
\(142\) | 9.49985i | 0.797210i | ||||||||
\(143\) | −2.14999 | − | 1.78419i | −0.179791 | − | 0.149201i | ||||
\(144\) | 0.950014 | 0.0791678 | ||||||||
\(145\) | −9.40952 | −0.781419 | ||||||||
\(146\) | − | 34.9844i | − | 2.89533i | ||||||
\(147\) | −1.69122 | − | 6.79263i | −0.139489 | − | 0.560246i | ||||
\(148\) | −4.24770 | −0.349159 | ||||||||
\(149\) | − | 12.3780i | − | 1.01405i | −0.861933 | − | 0.507023i | \(-0.830746\pi\) | ||
0.861933 | − | 0.507023i | \(-0.169254\pi\) | |||||||
\(150\) | −2.23885 | −0.182801 | ||||||||
\(151\) | − | 13.3219i | − | 1.08412i | −0.840340 | − | 0.542060i | \(-0.817644\pi\) | ||
0.840340 | − | 0.542060i | \(-0.182356\pi\) | |||||||
\(152\) | 14.3028i | 1.16011i | ||||||||
\(153\) | 3.42003 | 0.276493 | ||||||||
\(154\) | −16.5327 | − | 10.6127i | −1.33224 | − | 0.855197i | ||||
\(155\) | −0.997372 | −0.0801108 | ||||||||
\(156\) | − | 2.53766i | − | 0.203175i | ||||||
\(157\) | 8.99722i | 0.718056i | 0.933327 | + | 0.359028i | \(0.116892\pi\) | ||||
−0.933327 | + | 0.359028i | \(0.883108\pi\) | |||||||
\(158\) | −32.0176 | −2.54718 | ||||||||
\(159\) | − | 3.80872i | − | 0.302051i | ||||||
\(160\) | −6.66043 | −0.526553 | ||||||||
\(161\) | −1.92395 | − | 15.6907i | −0.151629 | − | 1.23660i | ||||
\(162\) | − | 2.23885i | − | 0.175901i | ||||||
\(163\) | −1.25085 | −0.0979742 | −0.0489871 | − | 0.998799i | \(-0.515599\pi\) | ||||
−0.0489871 | + | 0.998799i | \(0.515599\pi\) | |||||||
\(164\) | 31.1204 | 2.43010 | ||||||||
\(165\) | 2.55226 | + | 2.11802i | 0.198693 | + | 0.164887i | ||||
\(166\) | 2.11897i | 0.164464i | ||||||||
\(167\) | 16.5043 | 1.27714 | 0.638572 | − | 0.769562i | \(-0.279525\pi\) | ||||
0.638572 | + | 0.769562i | \(0.279525\pi\) | |||||||
\(168\) | −0.729901 | − | 5.95266i | −0.0563131 | − | 0.459257i | ||||
\(169\) | −12.2904 | −0.945414 | ||||||||
\(170\) | −7.65694 | −0.587260 | ||||||||
\(171\) | −6.30984 | −0.482526 | ||||||||
\(172\) | − | 30.3524i | − | 2.31435i | ||||||
\(173\) | 19.4351 | 1.47762 | 0.738811 | − | 0.673912i | \(-0.235387\pi\) | ||||
0.738811 | + | 0.673912i | \(0.235387\pi\) | |||||||
\(174\) | 21.0665i | 1.59705i | ||||||||
\(175\) | −0.322004 | − | 2.62608i | −0.0243412 | − | 0.198513i | ||||
\(176\) | 2.42468 | + | 2.01214i | 0.182767 | + | 0.151671i | ||||
\(177\) | −10.7490 | −0.807944 | ||||||||
\(178\) | −39.0887 | −2.92982 | ||||||||
\(179\) | 15.1145 | 1.12971 | 0.564856 | − | 0.825189i | \(-0.308932\pi\) | ||||
0.564856 | + | 0.825189i | \(0.308932\pi\) | |||||||
\(180\) | 3.01246i | 0.224535i | ||||||||
\(181\) | − | 10.4440i | − | 0.776298i | −0.921597 | − | 0.388149i | \(-0.873115\pi\) | ||
0.921597 | − | 0.388149i | \(-0.126885\pi\) | |||||||
\(182\) | 4.95274 | − | 0.607294i | 0.367122 | − | 0.0450156i | ||||
\(183\) | − | 3.15296i | − | 0.233074i | ||||||
\(184\) | − | 13.5436i | − | 0.998449i | ||||||
\(185\) | 1.41004i | 0.103669i | ||||||||
\(186\) | 2.23297i | 0.163729i | ||||||||
\(187\) | 8.72879 | + | 7.24368i | 0.638312 | + | 0.529710i | ||||
\(188\) | − | 24.4066i | − | 1.78003i | ||||||
\(189\) | 2.62608 | − | 0.322004i | 0.191019 | − | 0.0234224i | ||||
\(190\) | 14.1268 | 1.02487 | ||||||||
\(191\) | 12.2395 | 0.885622 | 0.442811 | − | 0.896615i | \(-0.353981\pi\) | ||||
0.442811 | + | 0.896615i | \(0.353981\pi\) | |||||||
\(192\) | 13.0117i | 0.939037i | ||||||||
\(193\) | 6.70826i | 0.482871i | 0.970417 | + | 0.241435i | \(0.0776182\pi\) | ||||
−0.970417 | + | 0.241435i | \(0.922382\pi\) | |||||||
\(194\) | 39.6032 | 2.84334 | ||||||||
\(195\) | −0.842387 | −0.0603246 | ||||||||
\(196\) | 20.4625 | − | 5.09473i | 1.46161 | − | 0.363909i | ||||
\(197\) | 7.20052i | 0.513015i | 0.966542 | + | 0.256508i | \(0.0825719\pi\) | ||||
−0.966542 | + | 0.256508i | \(0.917428\pi\) | |||||||
\(198\) | 4.74192 | − | 5.71412i | 0.336994 | − | 0.406085i | ||||
\(199\) | − | 24.0485i | − | 1.70475i | −0.522927 | − | 0.852377i | \(-0.675160\pi\) | ||
0.522927 | − | 0.852377i | \(-0.324840\pi\) | |||||||
\(200\) | − | 2.26674i | − | 0.160283i | ||||||
\(201\) | − | 11.4139i | − | 0.805071i | ||||||
\(202\) | − | 1.57215i | − | 0.110616i | ||||||
\(203\) | −24.7102 | + | 3.02991i | −1.73432 | + | 0.212658i | ||||
\(204\) | 10.3027i | 0.721333i | ||||||||
\(205\) | − | 10.3306i | − | 0.721519i | ||||||
\(206\) | −15.8042 | −1.10113 | ||||||||
\(207\) | 5.97493 | 0.415286 | ||||||||
\(208\) | −0.800280 | −0.0554894 | ||||||||
\(209\) | −16.1043 | − | 13.3643i | −1.11396 | − | 0.924431i | ||||
\(210\) | −5.87941 | + | 0.720920i | −0.405718 | + | 0.0497482i | ||||
\(211\) | 6.53762i | 0.450068i | 0.974351 | + | 0.225034i | \(0.0722493\pi\) | ||||
−0.974351 | + | 0.225034i | \(0.927751\pi\) | |||||||
\(212\) | 11.4736 | 0.788010 | ||||||||
\(213\) | − | 4.24318i | − | 0.290738i | ||||||
\(214\) | −23.7266 | −1.62192 | ||||||||
\(215\) | −10.0756 | −0.687151 | ||||||||
\(216\) | 2.26674 | 0.154232 | ||||||||
\(217\) | −2.61918 | + | 0.321158i | −0.177802 | + | 0.0218016i | ||||
\(218\) | 19.1787 | 1.29895 | ||||||||
\(219\) | 15.6260i | 1.05591i | ||||||||
\(220\) | −6.38043 | + | 7.68856i | −0.430169 | + | 0.518363i | ||||
\(221\) | −2.88099 | −0.193796 | ||||||||
\(222\) | 3.15688 | 0.211876 | ||||||||
\(223\) | 25.7539i | 1.72461i | 0.506388 | + | 0.862305i | \(0.330980\pi\) | ||||
−0.506388 | + | 0.862305i | \(0.669020\pi\) | |||||||
\(224\) | −17.4908 | + | 2.14469i | −1.16866 | + | 0.143298i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 3.40105i | 0.226234i | ||||||||
\(227\) | −7.83215 | −0.519838 | −0.259919 | − | 0.965630i | \(-0.583696\pi\) | ||||
−0.259919 | + | 0.965630i | \(0.583696\pi\) | |||||||
\(228\) | − | 19.0081i | − | 1.25884i | ||||||
\(229\) | 12.8659i | 0.850205i | 0.905145 | + | 0.425102i | \(0.139762\pi\) | ||||
−0.905145 | + | 0.425102i | \(0.860238\pi\) | |||||||
\(230\) | −13.3770 | −0.882052 | ||||||||
\(231\) | 7.38445 | + | 4.74025i | 0.485861 | + | 0.311885i | ||||
\(232\) | −21.3290 | −1.40032 | ||||||||
\(233\) | 17.1634i | 1.12441i | 0.826997 | + | 0.562206i | \(0.190047\pi\) | ||||
−0.826997 | + | 0.562206i | \(0.809953\pi\) | |||||||
\(234\) | 1.88598i | 0.123290i | ||||||||
\(235\) | −8.10188 | −0.528509 | ||||||||
\(236\) | − | 32.3809i | − | 2.10782i | ||||||
\(237\) | 14.3009 | 0.928943 | ||||||||
\(238\) | −20.1078 | + | 2.46557i | −1.30339 | + | 0.159819i | ||||
\(239\) | − | 10.3445i | − | 0.669129i | −0.942373 | − | 0.334564i | \(-0.891411\pi\) | ||
0.942373 | − | 0.334564i | \(-0.108589\pi\) | |||||||
\(240\) | 0.950014 | 0.0613231 | ||||||||
\(241\) | 8.03134 | 0.517344 | 0.258672 | − | 0.965965i | \(-0.416715\pi\) | ||||
0.258672 | + | 0.965965i | \(0.416715\pi\) | |||||||
\(242\) | 24.2052 | − | 4.54044i | 1.55597 | − | 0.291870i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 9.49816 | 0.608057 | ||||||||
\(245\) | −1.69122 | − | 6.79263i | −0.108048 | − | 0.433965i | ||||
\(246\) | −23.1286 | −1.47463 | ||||||||
\(247\) | 5.31533 | 0.338206 | ||||||||
\(248\) | −2.26079 | −0.143560 | ||||||||
\(249\) | − | 0.946456i | − | 0.0599792i | ||||||
\(250\) | −2.23885 | −0.141597 | ||||||||
\(251\) | − | 27.1281i | − | 1.71231i | −0.516717 | − | 0.856156i | \(-0.672846\pi\) | ||
0.516717 | − | 0.856156i | \(-0.327154\pi\) | |||||||
\(252\) | 0.970024 | + | 7.91096i | 0.0611058 | + | 0.498344i | ||||
\(253\) | 15.2495 | + | 12.6550i | 0.958731 | + | 0.795613i | ||||
\(254\) | −10.5726 | −0.663385 | ||||||||
\(255\) | 3.42003 | 0.214171 | ||||||||
\(256\) | −9.37372 | −0.585857 | ||||||||
\(257\) | 23.0643i | 1.43871i | 0.694641 | + | 0.719356i | \(0.255563\pi\) | ||||
−0.694641 | + | 0.719356i | \(0.744437\pi\) | |||||||
\(258\) | 22.5578i | 1.40439i | ||||||||
\(259\) | 0.454040 | + | 3.70289i | 0.0282127 | + | 0.230087i | ||||
\(260\) | − | 2.53766i | − | 0.157379i | ||||||
\(261\) | − | 9.40952i | − | 0.582435i | ||||||
\(262\) | − | 22.1359i | − | 1.36756i | ||||||
\(263\) | 2.49039i | 0.153564i | 0.997048 | + | 0.0767820i | \(0.0244645\pi\) | ||||
−0.997048 | + | 0.0767820i | \(0.975535\pi\) | |||||||
\(264\) | 5.78531 | + | 4.80100i | 0.356061 | + | 0.295481i | ||||
\(265\) | − | 3.80872i | − | 0.233968i | ||||||
\(266\) | 37.0981 | − | 4.54889i | 2.27463 | − | 0.278910i | ||||
\(267\) | 17.4593 | 1.06849 | ||||||||
\(268\) | 34.3837 | 2.10032 | ||||||||
\(269\) | 4.78537i | 0.291769i | 0.989302 | + | 0.145885i | \(0.0466029\pi\) | ||||
−0.989302 | + | 0.145885i | \(0.953397\pi\) | |||||||
\(270\) | − | 2.23885i | − | 0.136252i | ||||||
\(271\) | −12.9173 | −0.784671 | −0.392336 | − | 0.919822i | \(-0.628333\pi\) | ||||
−0.392336 | + | 0.919822i | \(0.628333\pi\) | |||||||
\(272\) | 3.24908 | 0.197004 | ||||||||
\(273\) | −2.21218 | + | 0.271252i | −0.133887 | + | 0.0164169i | ||||
\(274\) | 12.9214i | 0.780610i | ||||||||
\(275\) | 2.55226 | + | 2.11802i | 0.153907 | + | 0.127721i | ||||
\(276\) | 17.9992i | 1.08343i | ||||||||
\(277\) | 5.81500i | 0.349389i | 0.984623 | + | 0.174695i | \(0.0558938\pi\) | ||||
−0.984623 | + | 0.174695i | \(0.944106\pi\) | |||||||
\(278\) | 22.2568i | 1.33487i | ||||||||
\(279\) | − | 0.997372i | − | 0.0597111i | ||||||
\(280\) | −0.729901 | − | 5.95266i | −0.0436199 | − | 0.355739i | ||||
\(281\) | − | 2.47572i | − | 0.147689i | −0.997270 | − | 0.0738446i | \(-0.976473\pi\) | ||
0.997270 | − | 0.0738446i | \(-0.0235269\pi\) | |||||||
\(282\) | 18.1389i | 1.08016i | ||||||||
\(283\) | 26.9187 | 1.60015 | 0.800075 | − | 0.599901i | \(-0.204793\pi\) | ||||
0.800075 | + | 0.599901i | \(0.204793\pi\) | |||||||
\(284\) | 12.7824 | 0.758496 | ||||||||
\(285\) | −6.30984 | −0.373763 | ||||||||
\(286\) | −3.99454 | + | 4.81350i | −0.236202 | + | 0.284628i | ||||
\(287\) | −3.32649 | − | 27.1290i | −0.196357 | − | 1.60137i | ||||
\(288\) | − | 6.66043i | − | 0.392469i | ||||||
\(289\) | −5.30340 | −0.311965 | ||||||||
\(290\) | 21.0665i | 1.23707i | ||||||||
\(291\) | −17.6891 | −1.03695 | ||||||||
\(292\) | −47.0728 | −2.75473 | ||||||||
\(293\) | 5.92944 | 0.346402 | 0.173201 | − | 0.984887i | \(-0.444589\pi\) | ||||
0.173201 | + | 0.984887i | \(0.444589\pi\) | |||||||
\(294\) | −15.2077 | + | 3.78639i | −0.886930 | + | 0.220827i | ||||
\(295\) | −10.7490 | −0.625831 | ||||||||
\(296\) | 3.19621i | 0.185776i | ||||||||
\(297\) | −2.11802 | + | 2.55226i | −0.122900 | + | 0.148097i | ||||
\(298\) | −27.7125 | −1.60534 | ||||||||
\(299\) | −5.03320 | −0.291078 | ||||||||
\(300\) | 3.01246i | 0.173924i | ||||||||
\(301\) | −26.4594 | + | 3.24439i | −1.52509 | + | 0.187003i | ||||
\(302\) | −29.8257 | −1.71628 | ||||||||
\(303\) | 0.702211i | 0.0403410i | ||||||||
\(304\) | −5.99444 | −0.343805 | ||||||||
\(305\) | − | 3.15296i | − | 0.180538i | ||||||
\(306\) | − | 7.65694i | − | 0.437718i | ||||||
\(307\) | 7.12996 | 0.406928 | 0.203464 | − | 0.979082i | \(-0.434780\pi\) | ||||
0.203464 | + | 0.979082i | \(0.434780\pi\) | |||||||
\(308\) | −14.2798 | + | 22.2453i | −0.813667 | + | 1.26755i | ||||
\(309\) | 7.05904 | 0.401575 | ||||||||
\(310\) | 2.23297i | 0.126824i | ||||||||
\(311\) | 34.4437i | 1.95312i | 0.215238 | + | 0.976562i | \(0.430947\pi\) | ||||
−0.215238 | + | 0.976562i | \(0.569053\pi\) | |||||||
\(312\) | −1.90948 | −0.108103 | ||||||||
\(313\) | 6.36649i | 0.359855i | 0.983680 | + | 0.179928i | \(0.0575864\pi\) | ||||
−0.983680 | + | 0.179928i | \(0.942414\pi\) | |||||||
\(314\) | 20.1434 | 1.13676 | ||||||||
\(315\) | 2.62608 | − | 0.322004i | 0.147963 | − | 0.0181429i | ||||
\(316\) | 43.0808i | 2.42349i | ||||||||
\(317\) | −16.9314 | −0.950961 | −0.475480 | − | 0.879726i | \(-0.657726\pi\) | ||||
−0.475480 | + | 0.879726i | \(0.657726\pi\) | |||||||
\(318\) | −8.52715 | −0.478179 | ||||||||
\(319\) | 19.9295 | − | 24.0155i | 1.11584 | − | 1.34461i | ||||
\(320\) | 13.0117i | 0.727375i | ||||||||
\(321\) | 10.5977 | 0.591503 | ||||||||
\(322\) | −35.1291 | + | 4.30744i | −1.95767 | + | 0.240044i | ||||
\(323\) | −21.5798 | −1.20073 | ||||||||
\(324\) | −3.01246 | −0.167359 | ||||||||
\(325\) | −0.842387 | −0.0467272 | ||||||||
\(326\) | 2.80047i | 0.155104i | ||||||||
\(327\) | −8.56633 | −0.473719 | ||||||||
\(328\) | − | 23.4168i | − | 1.29298i | ||||||
\(329\) | −21.2762 | + | 2.60884i | −1.17300 | + | 0.143830i | ||||
\(330\) | 4.74192 | − | 5.71412i | 0.261034 | − | 0.314552i | ||||
\(331\) | −22.2475 | −1.22284 | −0.611418 | − | 0.791308i | \(-0.709400\pi\) | ||||
−0.611418 | + | 0.791308i | \(0.709400\pi\) | |||||||
\(332\) | 2.85116 | 0.156478 | ||||||||
\(333\) | −1.41004 | −0.0772699 | ||||||||
\(334\) | − | 36.9508i | − | 2.02186i | ||||||
\(335\) | − | 11.4139i | − | 0.623605i | ||||||
\(336\) | 2.49482 | − | 0.305909i | 0.136103 | − | 0.0166887i | ||||
\(337\) | 15.7574i | 0.858361i | 0.903219 | + | 0.429180i | \(0.141198\pi\) | ||||
−0.903219 | + | 0.429180i | \(0.858802\pi\) | |||||||
\(338\) | 27.5163i | 1.49669i | ||||||||
\(339\) | − | 1.51910i | − | 0.0825064i | ||||||
\(340\) | 10.3027i | 0.558742i | ||||||||
\(341\) | 2.11245 | − | 2.54555i | 0.114396 | − | 0.137849i | ||||
\(342\) | 14.1268i | 0.763890i | ||||||||
\(343\) | −6.62854 | − | 17.2934i | −0.357907 | − | 0.933757i | ||||
\(344\) | −22.8388 | −1.23139 | ||||||||
\(345\) | 5.97493 | 0.321679 | ||||||||
\(346\) | − | 43.5123i | − | 2.33924i | ||||||
\(347\) | 12.6941i | 0.681454i | 0.940162 | + | 0.340727i | \(0.110673\pi\) | ||||
−0.940162 | + | 0.340727i | \(0.889327\pi\) | |||||||
\(348\) | 28.3458 | 1.51949 | ||||||||
\(349\) | 21.6081 | 1.15665 | 0.578326 | − | 0.815805i | \(-0.303706\pi\) | ||||
0.578326 | + | 0.815805i | \(0.303706\pi\) | |||||||
\(350\) | −5.87941 | + | 0.720920i | −0.314268 | + | 0.0385348i | ||||
\(351\) | − | 0.842387i | − | 0.0449633i | ||||||
\(352\) | 14.1069 | − | 16.9991i | 0.751900 | − | 0.906056i | ||||
\(353\) | 8.18411i | 0.435596i | 0.975994 | + | 0.217798i | \(0.0698874\pi\) | ||||
−0.975994 | + | 0.217798i | \(0.930113\pi\) | |||||||
\(354\) | 24.0654i | 1.27906i | ||||||||
\(355\) | − | 4.24318i | − | 0.225205i | ||||||
\(356\) | 52.5953i | 2.78754i | ||||||||
\(357\) | 8.98128 | − | 1.10126i | 0.475340 | − | 0.0582851i | ||||
\(358\) | − | 33.8392i | − | 1.78846i | ||||||
\(359\) | − | 13.4331i | − | 0.708970i | −0.935062 | − | 0.354485i | \(-0.884656\pi\) | ||
0.935062 | − | 0.354485i | \(-0.115344\pi\) | |||||||
\(360\) | 2.26674 | 0.119468 | ||||||||
\(361\) | 20.8141 | 1.09548 | ||||||||
\(362\) | −23.3826 | −1.22896 | ||||||||
\(363\) | −10.8114 | + | 2.02802i | −0.567453 | + | 0.106443i | ||||
\(364\) | −0.817136 | − | 6.66410i | −0.0428296 | − | 0.349294i | ||||
\(365\) | 15.6260i | 0.817905i | ||||||||
\(366\) | −7.05901 | −0.368980 | ||||||||
\(367\) | − | 19.2541i | − | 1.00506i | −0.864561 | − | 0.502529i | \(-0.832403\pi\) | ||
0.864561 | − | 0.502529i | \(-0.167597\pi\) | |||||||
\(368\) | 5.67627 | 0.295896 | ||||||||
\(369\) | 10.3306 | 0.537789 | ||||||||
\(370\) | 3.15688 | 0.164118 | ||||||||
\(371\) | −1.22642 | − | 10.0020i | −0.0636727 | − | 0.519278i | ||||
\(372\) | 3.00454 | 0.155778 | ||||||||
\(373\) | − | 29.4605i | − | 1.52541i | −0.646748 | − | 0.762704i | \(-0.723872\pi\) | ||
0.646748 | − | 0.762704i | \(-0.276128\pi\) | |||||||
\(374\) | 16.2175 | − | 19.5425i | 0.838588 | − | 1.01052i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | −18.3649 | −0.947097 | ||||||||
\(377\) | 7.92646i | 0.408234i | ||||||||
\(378\) | −0.720920 | − | 5.87941i | −0.0370801 | − | 0.302404i | ||||
\(379\) | −32.0801 | −1.64785 | −0.823923 | − | 0.566701i | \(-0.808219\pi\) | ||||
−0.823923 | + | 0.566701i | \(0.808219\pi\) | |||||||
\(380\) | − | 19.0081i | − | 0.975096i | ||||||
\(381\) | 4.72234 | 0.241933 | ||||||||
\(382\) | − | 27.4025i | − | 1.40203i | ||||||
\(383\) | − | 1.37119i | − | 0.0700644i | −0.999386 | − | 0.0350322i | \(-0.988847\pi\) | ||
0.999386 | − | 0.0350322i | \(-0.0111534\pi\) | |||||||
\(384\) | 15.8104 | 0.806820 | ||||||||
\(385\) | 7.38445 | + | 4.74025i | 0.376346 | + | 0.241585i | ||||
\(386\) | 15.0188 | 0.764436 | ||||||||
\(387\) | − | 10.0756i | − | 0.512172i | ||||||
\(388\) | − | 53.2875i | − | 2.70526i | ||||||
\(389\) | 4.19889 | 0.212892 | 0.106446 | − | 0.994318i | \(-0.466053\pi\) | ||||
0.106446 | + | 0.994318i | \(0.466053\pi\) | |||||||
\(390\) | 1.88598i | 0.0955003i | ||||||||
\(391\) | 20.4344 | 1.03341 | ||||||||
\(392\) | −3.83356 | − | 15.3971i | −0.193624 | − | 0.777673i | ||||
\(393\) | 9.88715i | 0.498741i | ||||||||
\(394\) | 16.1209 | 0.812159 | ||||||||
\(395\) | 14.3009 | 0.719556 | ||||||||
\(396\) | −7.68856 | − | 6.38043i | −0.386365 | − | 0.320629i | ||||
\(397\) | − | 4.12458i | − | 0.207007i | −0.994629 | − | 0.103503i | \(-0.966995\pi\) | ||
0.994629 | − | 0.103503i | \(-0.0330052\pi\) | |||||||
\(398\) | −53.8411 | −2.69881 | ||||||||
\(399\) | −16.5702 | + | 2.03180i | −0.829546 | + | 0.101717i | ||||
\(400\) | 0.950014 | 0.0475007 | ||||||||
\(401\) | 12.2122 | 0.609847 | 0.304923 | − | 0.952377i | \(-0.401369\pi\) | ||||
0.304923 | + | 0.952377i | \(0.401369\pi\) | |||||||
\(402\) | −25.5539 | −1.27451 | ||||||||
\(403\) | 0.840173i | 0.0418520i | ||||||||
\(404\) | −2.11538 | −0.105244 | ||||||||
\(405\) | 1.00000i | 0.0496904i | ||||||||
\(406\) | 6.78351 | + | 55.3225i | 0.336660 | + | 2.74561i | ||||
\(407\) | −3.59879 | − | 2.98650i | −0.178386 | − | 0.148035i | ||||
\(408\) | 7.75233 | 0.383797 | ||||||||
\(409\) | 1.39729 | 0.0690914 | 0.0345457 | − | 0.999403i | \(-0.489002\pi\) | ||||
0.0345457 | + | 0.999403i | \(0.489002\pi\) | |||||||
\(410\) | −23.1286 | −1.14224 | ||||||||
\(411\) | − | 5.77144i | − | 0.284684i | ||||||
\(412\) | 21.2651i | 1.04765i | ||||||||
\(413\) | −28.2278 | + | 3.46122i | −1.38900 | + | 0.170316i | ||||
\(414\) | − | 13.3770i | − | 0.657443i | ||||||
\(415\) | − | 0.946456i | − | 0.0464597i | ||||||
\(416\) | 5.61066i | 0.275085i | ||||||||
\(417\) | − | 9.94116i | − | 0.486821i | ||||||
\(418\) | −29.9208 | + | 36.0552i | −1.46347 | + | 1.76352i | ||||
\(419\) | 13.6032i | 0.664558i | 0.943181 | + | 0.332279i | \(0.107817\pi\) | ||||
−0.943181 | + | 0.332279i | \(0.892183\pi\) | |||||||
\(420\) | 0.970024 | + | 7.91096i | 0.0473323 | + | 0.386016i | ||||
\(421\) | 19.9582 | 0.972703 | 0.486352 | − | 0.873763i | \(-0.338327\pi\) | ||||
0.486352 | + | 0.873763i | \(0.338327\pi\) | |||||||
\(422\) | 14.6368 | 0.712506 | ||||||||
\(423\) | − | 8.10188i | − | 0.393927i | ||||||
\(424\) | − | 8.63338i | − | 0.419274i | ||||||
\(425\) | 3.42003 | 0.165896 | ||||||||
\(426\) | −9.49985 | −0.460269 | ||||||||
\(427\) | −1.01527 | − | 8.27994i | −0.0491322 | − | 0.400694i | ||||
\(428\) | 31.9250i | 1.54315i | ||||||||
\(429\) | 1.78419 | − | 2.14999i | 0.0861415 | − | 0.103802i | ||||
\(430\) | 22.5578i | 1.08783i | ||||||||
\(431\) | − | 11.6976i | − | 0.563454i | −0.959495 | − | 0.281727i | \(-0.909093\pi\) | ||
0.959495 | − | 0.281727i | \(-0.0909072\pi\) | |||||||
\(432\) | 0.950014i | 0.0457076i | ||||||||
\(433\) | − | 22.6313i | − | 1.08759i | −0.839218 | − | 0.543796i | \(-0.816987\pi\) | ||
0.839218 | − | 0.543796i | \(-0.183013\pi\) | |||||||
\(434\) | 0.719025 | + | 5.86396i | 0.0345143 | + | 0.281479i | ||||
\(435\) | − | 9.40952i | − | 0.451152i | ||||||
\(436\) | − | 25.8057i | − | 1.23587i | ||||||
\(437\) | −37.7009 | −1.80348 | ||||||||
\(438\) | 34.9844 | 1.67162 | ||||||||
\(439\) | −8.05202 | −0.384302 | −0.192151 | − | 0.981365i | \(-0.561546\pi\) | ||||
−0.192151 | + | 0.981365i | \(0.561546\pi\) | |||||||
\(440\) | 5.78531 | + | 4.80100i | 0.275804 | + | 0.228879i | ||||
\(441\) | 6.79263 | − | 1.69122i | 0.323458 | − | 0.0805343i | ||||
\(442\) | 6.45011i | 0.306800i | ||||||||
\(443\) | −18.0248 | −0.856384 | −0.428192 | − | 0.903688i | \(-0.640849\pi\) | ||||
−0.428192 | + | 0.903688i | \(0.640849\pi\) | |||||||
\(444\) | − | 4.24770i | − | 0.201587i | ||||||
\(445\) | 17.4593 | 0.827648 | ||||||||
\(446\) | 57.6592 | 2.73024 | ||||||||
\(447\) | 12.3780 | 0.585460 | ||||||||
\(448\) | 4.18982 | + | 34.1698i | 0.197950 | + | 1.61437i | ||||
\(449\) | 32.9988 | 1.55731 | 0.778655 | − | 0.627452i | \(-0.215902\pi\) | ||||
0.778655 | + | 0.627452i | \(0.215902\pi\) | |||||||
\(450\) | − | 2.23885i | − | 0.105540i | ||||||
\(451\) | 26.3663 | + | 21.8803i | 1.24154 | + | 1.03030i | ||||
\(452\) | 4.57623 | 0.215248 | ||||||||
\(453\) | 13.3219 | 0.625917 | ||||||||
\(454\) | 17.5350i | 0.822959i | ||||||||
\(455\) | −2.21218 | + | 0.271252i | −0.103709 | + | 0.0127165i | ||||
\(456\) | −14.3028 | −0.669789 | ||||||||
\(457\) | 1.75226i | 0.0819673i | 0.999160 | + | 0.0409836i | \(0.0130492\pi\) | ||||
−0.999160 | + | 0.0409836i | \(0.986951\pi\) | |||||||
\(458\) | 28.8049 | 1.34597 | ||||||||
\(459\) | 3.42003i | 0.159633i | ||||||||
\(460\) | 17.9992i | 0.839218i | ||||||||
\(461\) | −29.6847 | −1.38255 | −0.691277 | − | 0.722589i | \(-0.742952\pi\) | ||||
−0.691277 | + | 0.722589i | \(0.742952\pi\) | |||||||
\(462\) | 10.6127 | − | 16.5327i | 0.493748 | − | 0.769170i | ||||
\(463\) | 19.0858 | 0.886994 | 0.443497 | − | 0.896276i | \(-0.353738\pi\) | ||||
0.443497 | + | 0.896276i | \(0.353738\pi\) | |||||||
\(464\) | − | 8.93918i | − | 0.414991i | ||||||
\(465\) | − | 0.997372i | − | 0.0462520i | ||||||
\(466\) | 38.4263 | 1.78007 | ||||||||
\(467\) | 7.19573i | 0.332979i | 0.986043 | + | 0.166489i | \(0.0532431\pi\) | ||||
−0.986043 | + | 0.166489i | \(0.946757\pi\) | |||||||
\(468\) | 2.53766 | 0.117303 | ||||||||
\(469\) | −3.67531 | − | 29.9737i | −0.169710 | − | 1.38406i | ||||
\(470\) | 18.1389i | 0.836686i | ||||||||
\(471\) | −8.99722 | −0.414570 | ||||||||
\(472\) | −24.3652 | −1.12150 | ||||||||
\(473\) | 21.3403 | − | 25.7155i | 0.981228 | − | 1.18240i | ||||
\(474\) | − | 32.0176i | − | 1.47062i | ||||||
\(475\) | −6.30984 | −0.289515 | ||||||||
\(476\) | 3.31751 | + | 27.0557i | 0.152058 | + | 1.24010i | ||||
\(477\) | 3.80872 | 0.174389 | ||||||||
\(478\) | −23.1598 | −1.05930 | ||||||||
\(479\) | −19.1149 | −0.873382 | −0.436691 | − | 0.899611i | \(-0.643850\pi\) | ||||
−0.436691 | + | 0.899611i | \(0.643850\pi\) | |||||||
\(480\) | − | 6.66043i | − | 0.304005i | ||||||
\(481\) | 1.18780 | 0.0541592 | ||||||||
\(482\) | − | 17.9810i | − | 0.819011i | ||||||
\(483\) | 15.6907 | − | 1.92395i | 0.713950 | − | 0.0875429i | ||||
\(484\) | −6.10932 | − | 32.5690i | −0.277697 | − | 1.48041i | ||||
\(485\) | −17.6891 | −0.803219 | ||||||||
\(486\) | 2.23885 | 0.101556 | ||||||||
\(487\) | 14.7143 | 0.666768 | 0.333384 | − | 0.942791i | \(-0.391810\pi\) | ||||
0.333384 | + | 0.942791i | \(0.391810\pi\) | |||||||
\(488\) | − | 7.14695i | − | 0.323527i | ||||||
\(489\) | − | 1.25085i | − | 0.0565655i | ||||||
\(490\) | −15.2077 | + | 3.78639i | −0.687013 | + | 0.171052i | ||||
\(491\) | − | 19.2562i | − | 0.869022i | −0.900667 | − | 0.434511i | \(-0.856921\pi\) | ||
0.900667 | − | 0.434511i | \(-0.143079\pi\) | |||||||
\(492\) | 31.1204i | 1.40302i | ||||||||
\(493\) | − | 32.1809i | − | 1.44935i | ||||||
\(494\) | − | 11.9002i | − | 0.535417i | ||||||
\(495\) | −2.11802 | + | 2.55226i | −0.0951977 | + | 0.114715i | ||||
\(496\) | − | 0.947517i | − | 0.0425448i | ||||||
\(497\) | −1.36632 | − | 11.1429i | −0.0612879 | − | 0.499830i | ||||
\(498\) | −2.11897 | −0.0949535 | ||||||||
\(499\) | −10.7689 | −0.482081 | −0.241040 | − | 0.970515i | \(-0.577489\pi\) | ||||
−0.241040 | + | 0.970515i | \(0.577489\pi\) | |||||||
\(500\) | 3.01246i | 0.134721i | ||||||||
\(501\) | 16.5043i | 0.737360i | ||||||||
\(502\) | −60.7359 | −2.71077 | ||||||||
\(503\) | −8.00112 | −0.356752 | −0.178376 | − | 0.983962i | \(-0.557084\pi\) | ||||
−0.178376 | + | 0.983962i | \(0.557084\pi\) | |||||||
\(504\) | 5.95266 | − | 0.729901i | 0.265152 | − | 0.0325124i | ||||
\(505\) | 0.702211i | 0.0312480i | ||||||||
\(506\) | 28.3327 | − | 34.1415i | 1.25954 | − | 1.51777i | ||||
\(507\) | − | 12.2904i | − | 0.545835i | ||||||
\(508\) | 14.2258i | 0.631169i | ||||||||
\(509\) | − | 7.68605i | − | 0.340678i | −0.985385 | − | 0.170339i | \(-0.945514\pi\) | ||
0.985385 | − | 0.170339i | \(-0.0544863\pi\) | |||||||
\(510\) | − | 7.65694i | − | 0.339055i | ||||||
\(511\) | 5.03165 | + | 41.0353i | 0.222587 | + | 1.81529i | ||||
\(512\) | − | 10.6344i | − | 0.469977i | ||||||
\(513\) | − | 6.30984i | − | 0.278586i | ||||||
\(514\) | 51.6376 | 2.27764 | ||||||||
\(515\) | 7.05904 | 0.311059 | ||||||||
\(516\) | 30.3524 | 1.33619 | ||||||||
\(517\) | 17.1599 | − | 20.6781i | 0.754692 | − | 0.909421i | ||||
\(518\) | 8.29023 | − | 1.01653i | 0.364252 | − | 0.0446637i | ||||
\(519\) | 19.4351i | 0.853106i | ||||||||
\(520\) | −1.90948 | −0.0837360 | ||||||||
\(521\) | 41.8300i | 1.83261i | 0.400486 | + | 0.916303i | \(0.368841\pi\) | ||||
−0.400486 | + | 0.916303i | \(0.631159\pi\) | |||||||
\(522\) | −21.0665 | −0.922057 | ||||||||
\(523\) | 8.26292 | 0.361312 | 0.180656 | − | 0.983546i | \(-0.442178\pi\) | ||||
0.180656 | + | 0.983546i | \(0.442178\pi\) | |||||||
\(524\) | −29.7846 | −1.30115 | ||||||||
\(525\) | 2.62608 | − | 0.322004i | 0.114612 | − | 0.0140534i | ||||
\(526\) | 5.57561 | 0.243108 | ||||||||
\(527\) | − | 3.41104i | − | 0.148587i | ||||||
\(528\) | −2.01214 | + | 2.42468i | −0.0875674 | + | 0.105521i | ||||
\(529\) | 12.6998 | 0.552164 | ||||||||
\(530\) | −8.52715 | −0.370396 | ||||||||
\(531\) | − | 10.7490i | − | 0.466467i | ||||||
\(532\) | −6.12070 | − | 49.9169i | −0.265366 | − | 2.16417i | ||||
\(533\) | −8.70235 | −0.376941 | ||||||||
\(534\) | − | 39.0887i | − | 1.69153i | ||||||
\(535\) | 10.5977 | 0.458177 | ||||||||
\(536\) | − | 25.8723i | − | 1.11751i | ||||||
\(537\) | 15.1145i | 0.652240i | ||||||||
\(538\) | 10.7137 | 0.461902 | ||||||||
\(539\) | 20.9186 | + | 10.0705i | 0.901026 | + | 0.433766i | ||||
\(540\) | −3.01246 | −0.129636 | ||||||||
\(541\) | 22.0864i | 0.949569i | 0.880102 | + | 0.474784i | \(0.157474\pi\) | ||||
−0.880102 | + | 0.474784i | \(0.842526\pi\) | |||||||
\(542\) | 28.9200i | 1.24222i | ||||||||
\(543\) | 10.4440 | 0.448196 | ||||||||
\(544\) | − | 22.7789i | − | 0.976635i | ||||||
\(545\) | −8.56633 | −0.366941 | ||||||||
\(546\) | 0.607294 | + | 4.95274i | 0.0259898 | + | 0.211958i | ||||
\(547\) | − | 5.38070i | − | 0.230062i | −0.993362 | − | 0.115031i | \(-0.963303\pi\) | ||
0.993362 | − | 0.115031i | \(-0.0366967\pi\) | |||||||
\(548\) | 17.3862 | 0.742702 | ||||||||
\(549\) | 3.15296 | 0.134565 | ||||||||
\(550\) | 4.74192 | − | 5.71412i | 0.202196 | − | 0.243651i | ||||
\(551\) | 59.3726i | 2.52936i | ||||||||
\(552\) | 13.5436 | 0.576455 | ||||||||
\(553\) | 37.5553 | − | 4.60495i | 1.59702 | − | 0.195822i | ||||
\(554\) | 13.0189 | 0.553121 | ||||||||
\(555\) | −1.41004 | −0.0598530 | ||||||||
\(556\) | 29.9473 | 1.27005 | ||||||||
\(557\) | 8.75524i | 0.370971i | 0.982647 | + | 0.185486i | \(0.0593858\pi\) | ||||
−0.982647 | + | 0.185486i | \(0.940614\pi\) | |||||||
\(558\) | −2.23297 | −0.0945291 | ||||||||
\(559\) | 8.48757i | 0.358986i | ||||||||
\(560\) | 2.49482 | − | 0.305909i | 0.105425 | − | 0.0129270i | ||||
\(561\) | −7.24368 | + | 8.72879i | −0.305828 | + | 0.368530i | ||||
\(562\) | −5.54277 | −0.233808 | ||||||||
\(563\) | 16.7749 | 0.706977 | 0.353488 | − | 0.935439i | \(-0.384995\pi\) | ||||
0.353488 | + | 0.935439i | \(0.384995\pi\) | |||||||
\(564\) | 24.4066 | 1.02770 | ||||||||
\(565\) | − | 1.51910i | − | 0.0639092i | ||||||
\(566\) | − | 60.2669i | − | 2.53321i | ||||||
\(567\) | 0.322004 | + | 2.62608i | 0.0135229 | + | 0.110285i | ||||
\(568\) | − | 9.61820i | − | 0.403571i | ||||||
\(569\) | 11.1514i | 0.467491i | 0.972298 | + | 0.233745i | \(0.0750982\pi\) | ||||
−0.972298 | + | 0.233745i | \(0.924902\pi\) | |||||||
\(570\) | 14.1268i | 0.591706i | ||||||||
\(571\) | − | 11.1466i | − | 0.466469i | −0.972420 | − | 0.233235i | \(-0.925069\pi\) | ||
0.972420 | − | 0.233235i | \(-0.0749310\pi\) | |||||||
\(572\) | 6.47675 | + | 5.37479i | 0.270806 | + | 0.224731i | ||||
\(573\) | 12.2395i | 0.511314i | ||||||||
\(574\) | −60.7378 | + | 7.44752i | −2.53515 | + | 0.310854i | ||||
\(575\) | 5.97493 | 0.249172 | ||||||||
\(576\) | −13.0117 | −0.542153 | ||||||||
\(577\) | 18.4249i | 0.767038i | 0.923533 | + | 0.383519i | \(0.125288\pi\) | ||||
−0.923533 | + | 0.383519i | \(0.874712\pi\) | |||||||
\(578\) | 11.8735i | 0.493873i | ||||||||
\(579\) | −6.70826 | −0.278786 | ||||||||
\(580\) | 28.3458 | 1.17700 | ||||||||
\(581\) | −0.304763 | − | 2.48547i | −0.0126437 | − | 0.103115i | ||||
\(582\) | 39.6032i | 1.64160i | ||||||||
\(583\) | 9.72082 | + | 8.06692i | 0.402595 | + | 0.334098i | ||||
\(584\) | 35.4202i | 1.46570i | ||||||||
\(585\) | − | 0.842387i | − | 0.0348284i | ||||||
\(586\) | − | 13.2751i | − | 0.548391i | ||||||
\(587\) | − | 14.8917i | − | 0.614645i | −0.951605 | − | 0.307323i | \(-0.900567\pi\) | ||
0.951605 | − | 0.307323i | \(-0.0994331\pi\) | |||||||
\(588\) | 5.09473 | + | 20.4625i | 0.210103 | + | 0.843859i | ||||
\(589\) | 6.29326i | 0.259309i | ||||||||
\(590\) | 24.0654i | 0.990757i | ||||||||
\(591\) | −7.20052 | −0.296190 | ||||||||
\(592\) | −1.33956 | −0.0550557 | ||||||||
\(593\) | 15.1514 | 0.622195 | 0.311098 | − | 0.950378i | \(-0.399303\pi\) | ||||
0.311098 | + | 0.950378i | \(0.399303\pi\) | |||||||
\(594\) | 5.71412 | + | 4.74192i | 0.234453 | + | 0.194563i | ||||
\(595\) | 8.98128 | − | 1.10126i | 0.368197 | − | 0.0451474i | ||||
\(596\) | 37.2882i | 1.52739i | ||||||||
\(597\) | 24.0485 | 0.984241 | ||||||||
\(598\) | 11.2686i | 0.460807i | ||||||||
\(599\) | 38.6892 | 1.58080 | 0.790398 | − | 0.612593i | \(-0.209874\pi\) | ||||
0.790398 | + | 0.612593i | \(0.209874\pi\) | |||||||
\(600\) | 2.26674 | 0.0925394 | ||||||||
\(601\) | −40.7993 | −1.66424 | −0.832118 | − | 0.554598i | \(-0.812872\pi\) | ||||
−0.832118 | + | 0.554598i | \(0.812872\pi\) | |||||||
\(602\) | 7.26371 | + | 59.2387i | 0.296047 | + | 2.41439i | ||||
\(603\) | 11.4139 | 0.464808 | ||||||||
\(604\) | 40.1316i | 1.63293i | ||||||||
\(605\) | −10.8114 | + | 2.02802i | −0.439547 | + | 0.0824507i | ||||
\(606\) | 1.57215 | 0.0638641 | ||||||||
\(607\) | −8.74411 | −0.354912 | −0.177456 | − | 0.984129i | \(-0.556787\pi\) | ||||
−0.177456 | + | 0.984129i | \(0.556787\pi\) | |||||||
\(608\) | 42.0262i | 1.70439i | ||||||||
\(609\) | −3.02991 | − | 24.7102i | −0.122778 | − | 1.00131i | ||||
\(610\) | −7.05901 | −0.285811 | ||||||||
\(611\) | 6.82492i | 0.276107i | ||||||||
\(612\) | −10.3027 | −0.416462 | ||||||||
\(613\) | 20.0772i | 0.810911i | 0.914115 | + | 0.405455i | \(0.132887\pi\) | ||||
−0.914115 | + | 0.405455i | \(0.867113\pi\) | |||||||
\(614\) | − | 15.9629i | − | 0.644211i | ||||||
\(615\) | 10.3306 | 0.416569 | ||||||||
\(616\) | 16.7386 | + | 10.7449i | 0.674419 | + | 0.432925i | ||||
\(617\) | −2.92259 | −0.117659 | −0.0588296 | − | 0.998268i | \(-0.518737\pi\) | ||||
−0.0588296 | + | 0.998268i | \(0.518737\pi\) | |||||||
\(618\) | − | 15.8042i | − | 0.635736i | ||||||
\(619\) | − | 33.9078i | − | 1.36287i | −0.731880 | − | 0.681434i | \(-0.761357\pi\) | ||
0.731880 | − | 0.681434i | \(-0.238643\pi\) | |||||||
\(620\) | 3.00454 | 0.120665 | ||||||||
\(621\) | 5.97493i | 0.239766i | ||||||||
\(622\) | 77.1144 | 3.09200 | ||||||||
\(623\) | 45.8494 | − | 5.62195i | 1.83692 | − | 0.225239i | ||||
\(624\) | − | 0.800280i | − | 0.0320368i | ||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 14.2536 | 0.569690 | ||||||||
\(627\) | 13.3643 | − | 16.1043i | 0.533720 | − | 0.643145i | ||||
\(628\) | − | 27.1037i | − | 1.08156i | ||||||
\(629\) | −4.82239 | −0.192281 | ||||||||
\(630\) | −0.720920 | − | 5.87941i | −0.0287221 | − | 0.234241i | ||||
\(631\) | 3.05134 | 0.121472 | 0.0607360 | − | 0.998154i | \(-0.480655\pi\) | ||||
0.0607360 | + | 0.998154i | \(0.480655\pi\) | |||||||
\(632\) | 32.4164 | 1.28946 | ||||||||
\(633\) | −6.53762 | −0.259847 | ||||||||
\(634\) | 37.9068i | 1.50547i | ||||||||
\(635\) | 4.72234 | 0.187400 | ||||||||
\(636\) | 11.4736i | 0.454958i | ||||||||
\(637\) | −5.72202 | + | 1.42466i | −0.226715 | + | 0.0564472i | ||||
\(638\) | −53.7672 | − | 44.6192i | −2.12866 | − | 1.76649i | ||||
\(639\) | 4.24318 | 0.167858 | ||||||||
\(640\) | 15.8104 | 0.624960 | ||||||||
\(641\) | 42.3257 | 1.67176 | 0.835882 | − | 0.548910i | \(-0.184957\pi\) | ||||
0.835882 | + | 0.548910i | \(0.184957\pi\) | |||||||
\(642\) | − | 23.7266i | − | 0.936413i | ||||||
\(643\) | 22.3867i | 0.882847i | 0.897299 | + | 0.441423i | \(0.145526\pi\) | ||||
−0.897299 | + | 0.441423i | \(0.854474\pi\) | |||||||
\(644\) | 5.79582 | + | 47.2675i | 0.228387 | + | 1.86260i | ||||
\(645\) | − | 10.0756i | − | 0.396727i | ||||||
\(646\) | 48.3141i | 1.90089i | ||||||||
\(647\) | 7.10723i | 0.279414i | 0.990193 | + | 0.139707i | \(0.0446161\pi\) | ||||
−0.990193 | + | 0.139707i | \(0.955384\pi\) | |||||||
\(648\) | 2.26674i | 0.0890461i | ||||||||
\(649\) | 22.7665 | − | 27.4342i | 0.893665 | − | 1.07689i | ||||
\(650\) | 1.88598i | 0.0739742i | ||||||||
\(651\) | −0.321158 | − | 2.61918i | −0.0125872 | − | 0.102654i | ||||
\(652\) | 3.76814 | 0.147572 | ||||||||
\(653\) | 22.3253 | 0.873655 | 0.436827 | − | 0.899545i | \(-0.356102\pi\) | ||||
0.436827 | + | 0.899545i | \(0.356102\pi\) | |||||||
\(654\) | 19.1787i | 0.749948i | ||||||||
\(655\) | 9.88715i | 0.386323i | ||||||||
\(656\) | 9.81420 | 0.383180 | ||||||||
\(657\) | −15.6260 | −0.609630 | ||||||||
\(658\) | 5.84081 | + | 47.6343i | 0.227698 | + | 1.85698i | ||||
\(659\) | − | 39.4137i | − | 1.53534i | −0.640846 | − | 0.767670i | \(-0.721416\pi\) | ||
0.640846 | − | 0.767670i | \(-0.278584\pi\) | |||||||
\(660\) | −7.68856 | − | 6.38043i | −0.299277 | − | 0.248358i | ||||
\(661\) | 35.0721i | 1.36414i | 0.731285 | + | 0.682072i | \(0.238921\pi\) | ||||
−0.731285 | + | 0.682072i | \(0.761079\pi\) | |||||||
\(662\) | 49.8090i | 1.93588i | ||||||||
\(663\) | − | 2.88099i | − | 0.111888i | ||||||
\(664\) | − | 2.14537i | − | 0.0832566i | ||||||
\(665\) | −16.5702 | + | 2.03180i | −0.642564 | + | 0.0787896i | ||||
\(666\) | 3.15688i | 0.122327i | ||||||||
\(667\) | − | 56.2212i | − | 2.17690i | ||||||
\(668\) | −49.7186 | −1.92367 | ||||||||
\(669\) | −25.7539 | −0.995705 | ||||||||
\(670\) | −25.5539 | −0.987234 | ||||||||
\(671\) | 8.04716 | + | 6.67802i | 0.310657 | + | 0.257802i | ||||
\(672\) | −2.14469 | − | 17.4908i | −0.0827330 | − | 0.674724i | ||||
\(673\) | 19.1635i | 0.738697i | 0.929291 | + | 0.369349i | \(0.120419\pi\) | ||||
−0.929291 | + | 0.369349i | \(0.879581\pi\) | |||||||
\(674\) | 35.2785 | 1.35888 | ||||||||
\(675\) | 1.00000i | 0.0384900i | ||||||||
\(676\) | 37.0243 | 1.42401 | ||||||||
\(677\) | −36.5750 | −1.40569 | −0.702846 | − | 0.711342i | \(-0.748088\pi\) | ||||
−0.702846 | + | 0.711342i | \(0.748088\pi\) | |||||||
\(678\) | −3.40105 | −0.130616 | ||||||||
\(679\) | −46.4529 | + | 5.69595i | −1.78270 | + | 0.218590i | ||||
\(680\) | 7.75233 | 0.297288 | ||||||||
\(681\) | − | 7.83215i | − | 0.300129i | ||||||
\(682\) | −5.69910 | − | 4.72946i | −0.218230 | − | 0.181100i | ||||
\(683\) | 20.6810 | 0.791337 | 0.395668 | − | 0.918393i | \(-0.370513\pi\) | ||||
0.395668 | + | 0.918393i | \(0.370513\pi\) | |||||||
\(684\) | 19.0081 | 0.726794 | ||||||||
\(685\) | − | 5.77144i | − | 0.220515i | ||||||
\(686\) | −38.7174 | + | 14.8403i | −1.47824 | + | 0.566606i | ||||
\(687\) | −12.8659 | −0.490866 | ||||||||
\(688\) | − | 9.57197i | − | 0.364928i | ||||||
\(689\) | −3.20841 | −0.122231 | ||||||||
\(690\) | − | 13.3770i | − | 0.509253i | ||||||
\(691\) | − | 11.4257i | − | 0.434655i | −0.976099 | − | 0.217327i | \(-0.930266\pi\) | ||
0.976099 | − | 0.217327i | \(-0.0697339\pi\) | |||||||
\(692\) | −58.5474 | −2.22564 | ||||||||
\(693\) | −4.74025 | + | 7.38445i | −0.180067 | + | 0.280512i | ||||
\(694\) | 28.4202 | 1.07881 | ||||||||
\(695\) | − | 9.94116i | − | 0.377090i | ||||||
\(696\) | − | 21.3290i | − | 0.808473i | ||||||
\(697\) | 35.3309 | 1.33825 | ||||||||
\(698\) | − | 48.3772i | − | 1.83111i | ||||||
\(699\) | −17.1634 | −0.649180 | ||||||||
\(700\) | 0.970024 | + | 7.91096i | 0.0366635 | + | 0.299006i | ||||
\(701\) | 7.53673i | 0.284658i | 0.989819 | + | 0.142329i | \(0.0454592\pi\) | ||||
−0.989819 | + | 0.142329i | \(0.954541\pi\) | |||||||
\(702\) | −1.88598 | −0.0711817 | ||||||||
\(703\) | 8.89715 | 0.335563 | ||||||||
\(704\) | −33.2091 | − | 27.5589i | −1.25162 | − | 1.03867i | ||||
\(705\) | − | 8.10188i | − | 0.305135i | ||||||
\(706\) | 18.3230 | 0.689595 | ||||||||
\(707\) | 0.226115 | + | 1.84407i | 0.00850393 | + | 0.0693532i | ||||
\(708\) | 32.3809 | 1.21695 | ||||||||
\(709\) | 10.9203 | 0.410121 | 0.205061 | − | 0.978749i | \(-0.434261\pi\) | ||||
0.205061 | + | 0.978749i | \(0.434261\pi\) | |||||||
\(710\) | −9.49985 | −0.356523 | ||||||||
\(711\) | 14.3009i | 0.536325i | ||||||||
\(712\) | 39.5756 | 1.48316 | ||||||||
\(713\) | − | 5.95923i | − | 0.223175i | ||||||
\(714\) | −2.46557 | − | 20.1078i | −0.0922715 | − | 0.752514i | ||||
\(715\) | 1.78419 | − | 2.14999i | 0.0667249 | − | 0.0804050i | ||||
\(716\) | −45.5319 | −1.70161 | ||||||||
\(717\) | 10.3445 | 0.386322 | ||||||||
\(718\) | −30.0746 | −1.12238 | ||||||||
\(719\) | − | 13.1791i | − | 0.491496i | −0.969334 | − | 0.245748i | \(-0.920966\pi\) | ||
0.969334 | − | 0.245748i | \(-0.0790336\pi\) | |||||||
\(720\) | 0.950014i | 0.0354049i | ||||||||
\(721\) | 18.5376 | − | 2.27304i | 0.690378 | − | 0.0846525i | ||||
\(722\) | − | 46.5997i | − | 1.73426i | ||||||
\(723\) | 8.03134i | 0.298689i | ||||||||
\(724\) | 31.4622i | 1.16928i | ||||||||
\(725\) | − | 9.40952i | − | 0.349461i | ||||||
\(726\) | 4.54044 | + | 24.2052i | 0.168511 | + | 0.898339i | ||||
\(727\) | − | 32.0278i | − | 1.18784i | −0.804522 | − | 0.593922i | \(-0.797579\pi\) | ||
0.804522 | − | 0.593922i | \(-0.202421\pi\) | |||||||
\(728\) | −5.01444 | + | 0.614859i | −0.185848 | + | 0.0227882i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 34.9844 | 1.29483 | ||||||||
\(731\) | − | 34.4589i | − | 1.27451i | ||||||
\(732\) | 9.49816i | 0.351062i | ||||||||
\(733\) | 48.4494 | 1.78952 | 0.894759 | − | 0.446549i | \(-0.147347\pi\) | ||||
0.894759 | + | 0.446549i | \(0.147347\pi\) | |||||||
\(734\) | −43.1071 | −1.59111 | ||||||||
\(735\) | 6.79263 | − | 1.69122i | 0.250550 | − | 0.0623816i | ||||
\(736\) | − | 39.7956i | − | 1.46688i | ||||||
\(737\) | 29.1311 | + | 24.1747i | 1.07306 | + | 0.890487i | ||||
\(738\) | − | 23.1286i | − | 0.851377i | ||||||
\(739\) | 29.2845i | 1.07725i | 0.842546 | + | 0.538624i | \(0.181056\pi\) | ||||
−0.842546 | + | 0.538624i | \(0.818944\pi\) | |||||||
\(740\) | − | 4.24770i | − | 0.156149i | ||||||
\(741\) | 5.31533i | 0.195263i | ||||||||
\(742\) | −22.3930 | + | 2.74578i | −0.822073 | + | 0.100801i | ||||
\(743\) | − | 18.2116i | − | 0.668118i | −0.942552 | − | 0.334059i | \(-0.891581\pi\) | ||
0.942552 | − | 0.334059i | \(-0.108419\pi\) | |||||||
\(744\) | − | 2.26079i | − | 0.0828844i | ||||||
\(745\) | 12.3780 | 0.453495 | ||||||||
\(746\) | −65.9577 | −2.41488 | ||||||||
\(747\) | 0.946456 | 0.0346290 | ||||||||
\(748\) | −26.2951 | − | 21.8213i | −0.961444 | − | 0.797865i | ||||
\(749\) | 27.8303 | − | 3.41249i | 1.01690 | − | 0.124690i | ||||
\(750\) | − | 2.23885i | − | 0.0817513i | ||||||
\(751\) | −31.6089 | −1.15343 | −0.576713 | − | 0.816947i | \(-0.695665\pi\) | ||||
−0.576713 | + | 0.816947i | \(0.695665\pi\) | |||||||
\(752\) | − | 7.69690i | − | 0.280677i | ||||||
\(753\) | 27.1281 | 0.988604 | ||||||||
\(754\) | 17.7462 | 0.646278 | ||||||||
\(755\) | 13.3219 | 0.484833 | ||||||||
\(756\) | −7.91096 | + | 0.970024i | −0.287719 | + | 0.0352794i | ||||
\(757\) | −31.2329 | −1.13518 | −0.567589 | − | 0.823312i | \(-0.692124\pi\) | ||||
−0.567589 | + | 0.823312i | \(0.692124\pi\) | |||||||
\(758\) | 71.8227i | 2.60872i | ||||||||
\(759\) | −12.6550 | + | 15.2495i | −0.459347 | + | 0.553524i | ||||
\(760\) | −14.3028 | −0.518817 | ||||||||
\(761\) | −47.1414 | −1.70887 | −0.854437 | − | 0.519556i | \(-0.826097\pi\) | ||||
−0.854437 | + | 0.519556i | \(0.826097\pi\) | |||||||
\(762\) | − | 10.5726i | − | 0.383005i | ||||||
\(763\) | −22.4959 | + | 2.75839i | −0.814406 | + | 0.0998605i | ||||
\(764\) | −36.8711 | −1.33395 | ||||||||
\(765\) | 3.42003i | 0.123651i | ||||||||
\(766\) | −3.06989 | −0.110920 | ||||||||
\(767\) | 9.05481i | 0.326950i | ||||||||
\(768\) | − | 9.37372i | − | 0.338245i | ||||||
\(769\) | −3.27088 | −0.117951 | −0.0589756 | − | 0.998259i | \(-0.518783\pi\) | ||||
−0.0589756 | + | 0.998259i | \(0.518783\pi\) | |||||||
\(770\) | 10.6127 | − | 16.5327i | 0.382456 | − | 0.595796i | ||||
\(771\) | −23.0643 | −0.830641 | ||||||||
\(772\) | − | 20.2083i | − | 0.727314i | ||||||
\(773\) | − | 0.757839i | − | 0.0272576i | −0.999907 | − | 0.0136288i | \(-0.995662\pi\) | ||
0.999907 | − | 0.0136288i | \(-0.00433831\pi\) | |||||||
\(774\) | −22.5578 | −0.810823 | ||||||||
\(775\) | − | 0.997372i | − | 0.0358266i | ||||||
\(776\) | −40.0965 | −1.43938 | ||||||||
\(777\) | −3.70289 | + | 0.454040i | −0.132841 | + | 0.0162886i | ||||
\(778\) | − | 9.40068i | − | 0.337031i | ||||||
\(779\) | −65.1843 | −2.33547 | ||||||||
\(780\) | 2.53766 | 0.0908627 | ||||||||
\(781\) | 10.8297 | + | 8.98712i | 0.387517 | + | 0.321585i | ||||
\(782\) | − | 45.7497i | − | 1.63600i | ||||||
\(783\) | 9.40952 | 0.336269 | ||||||||
\(784\) | 6.45309 | − | 1.60668i | 0.230468 | − | 0.0573815i | ||||
\(785\) | −8.99722 | −0.321124 | ||||||||
\(786\) | 22.1359 | 0.789560 | ||||||||
\(787\) | −31.1745 | −1.11125 | −0.555626 | − | 0.831433i | \(-0.687521\pi\) | ||||
−0.555626 | + | 0.831433i | \(0.687521\pi\) | |||||||
\(788\) | − | 21.6912i | − | 0.772719i | ||||||
\(789\) | −2.49039 | −0.0886602 | ||||||||
\(790\) | − | 32.0176i | − | 1.13913i | ||||||
\(791\) | −0.489158 | − | 3.98929i | −0.0173924 | − | 0.141843i | ||||
\(792\) | −4.80100 | + | 5.78531i | −0.170596 | + | 0.205572i | ||||
\(793\) | −2.65601 | −0.0943178 | ||||||||
\(794\) | −9.23431 | −0.327714 | ||||||||
\(795\) | 3.80872 | 0.135081 | ||||||||
\(796\) | 72.4452i | 2.56775i | ||||||||
\(797\) | 15.7552i | 0.558079i | 0.960280 | + | 0.279040i | \(0.0900161\pi\) | ||||
−0.960280 | + | 0.279040i | \(0.909984\pi\) | |||||||
\(798\) | 4.54889 | + | 37.0981i | 0.161029 | + | 1.31326i | ||||
\(799\) | − | 27.7087i | − | 0.980263i | ||||||
\(800\) | − | 6.66043i | − | 0.235482i | ||||||
\(801\) | 17.4593i | 0.616892i | ||||||||
\(802\) | − | 27.3412i | − | 0.965453i | ||||||
\(803\) | −39.8817 | − | 33.0962i | −1.40739 | − | 1.16794i | ||||
\(804\) | 34.3837i | 1.21262i | ||||||||
\(805\) | 15.6907 | − | 1.92395i | 0.553023 | − | 0.0678104i | ||||
\(806\) | 1.88102 | 0.0662562 | ||||||||
\(807\) | −4.78537 | −0.168453 | ||||||||
\(808\) | 1.59173i | 0.0559970i | ||||||||
\(809\) | 30.3467i | 1.06693i | 0.845821 | + | 0.533467i | \(0.179111\pi\) | ||||
−0.845821 | + | 0.533467i | \(0.820889\pi\) | |||||||
\(810\) | 2.23885 | 0.0786652 | ||||||||
\(811\) | 18.4970 | 0.649516 | 0.324758 | − | 0.945797i | \(-0.394717\pi\) | ||||
0.324758 | + | 0.945797i | \(0.394717\pi\) | |||||||
\(812\) | 74.4384 | − | 9.12746i | 2.61228 | − | 0.320311i | ||||
\(813\) | − | 12.9173i | − | 0.453030i | ||||||
\(814\) | −6.68632 | + | 8.05717i | −0.234355 | + | 0.282404i | ||||
\(815\) | − | 1.25085i | − | 0.0438154i | ||||||
\(816\) | 3.24908i | 0.113740i | ||||||||
\(817\) | 63.5755i | 2.22423i | ||||||||
\(818\) | − | 3.12832i | − | 0.109379i | ||||||
\(819\) | −0.271252 | − | 2.21218i | −0.00947832 | − | 0.0772998i | ||||
\(820\) | 31.1204i | 1.08677i | ||||||||
\(821\) | − | 43.9533i | − | 1.53398i | −0.641659 | − | 0.766990i | \(-0.721754\pi\) | ||
0.641659 | − | 0.766990i | \(-0.278246\pi\) | |||||||
\(822\) | −12.9214 | −0.450685 | ||||||||
\(823\) | −37.6212 | −1.31139 | −0.655697 | − | 0.755024i | \(-0.727625\pi\) | ||||
−0.655697 | + | 0.755024i | \(0.727625\pi\) | |||||||
\(824\) | 16.0010 | 0.557422 | ||||||||
\(825\) | −2.11802 | + | 2.55226i | −0.0737398 | + | 0.0888581i | ||||
\(826\) | 7.74916 | + | 63.1978i | 0.269628 | + | 2.19893i | ||||
\(827\) | 43.1499i | 1.50047i | 0.661171 | + | 0.750235i | \(0.270060\pi\) | ||||
−0.661171 | + | 0.750235i | \(0.729940\pi\) | |||||||
\(828\) | −17.9992 | −0.625516 | ||||||||
\(829\) | 5.19313i | 0.180365i | 0.995925 | + | 0.0901825i | \(0.0287450\pi\) | ||||
−0.995925 | + | 0.0901825i | \(0.971255\pi\) | |||||||
\(830\) | −2.11897 | −0.0735507 | ||||||||
\(831\) | −5.81500 | −0.201720 | ||||||||
\(832\) | 10.9609 | 0.380000 | ||||||||
\(833\) | 23.2310 | − | 5.78402i | 0.804906 | − | 0.200404i | ||||
\(834\) | −22.2568 | −0.770689 | ||||||||
\(835\) | 16.5043i | 0.571156i | ||||||||
\(836\) | 48.5136 | + | 40.2595i | 1.67788 | + | 1.39240i | ||||
\(837\) | 0.997372 | 0.0344742 | ||||||||
\(838\) | 30.4554 | 1.05207 | ||||||||
\(839\) | 13.4423i | 0.464080i | 0.972706 | + | 0.232040i | \(0.0745401\pi\) | ||||
−0.972706 | + | 0.232040i | \(0.925460\pi\) | |||||||
\(840\) | 5.95266 | − | 0.729901i | 0.205386 | − | 0.0251840i | ||||
\(841\) | −59.5392 | −2.05307 | ||||||||
\(842\) | − | 44.6835i | − | 1.53989i | ||||||
\(843\) | 2.47572 | 0.0852683 | ||||||||
\(844\) | − | 19.6943i | − | 0.677905i | ||||||
\(845\) | − | 12.2904i | − | 0.422802i | ||||||
\(846\) | −18.1389 | −0.623629 | ||||||||
\(847\) | −27.7387 | + | 8.80708i | −0.953113 | + | 0.302615i | ||||
\(848\) | 3.61833 | 0.124254 | ||||||||
\(849\) | 26.9187i | 0.923847i | ||||||||
\(850\) | − | 7.65694i | − | 0.262631i | ||||||
\(851\) | −8.42491 | −0.288802 | ||||||||
\(852\) | 12.7824i | 0.437918i | ||||||||
\(853\) | −4.82906 | −0.165344 | −0.0826719 | − | 0.996577i | \(-0.526345\pi\) | ||||
−0.0826719 | + | 0.996577i | \(0.526345\pi\) | |||||||
\(854\) | −18.5376 | + | 2.27303i | −0.634342 | + | 0.0777815i | ||||
\(855\) | − | 6.30984i | − | 0.215792i | ||||||
\(856\) | 24.0222 | 0.821060 | ||||||||
\(857\) | 5.94945 | 0.203229 | 0.101615 | − | 0.994824i | \(-0.467599\pi\) | ||||
0.101615 | + | 0.994824i | \(0.467599\pi\) | |||||||
\(858\) | −4.81350 | − | 3.99454i | −0.164330 | − | 0.136371i | ||||
\(859\) | − | 19.8001i | − | 0.675570i | −0.941223 | − | 0.337785i | \(-0.890322\pi\) | ||
0.941223 | − | 0.337785i | \(-0.109678\pi\) | |||||||
\(860\) | 30.3524 | 1.03501 | ||||||||
\(861\) | 27.1290 | − | 3.32649i | 0.924553 | − | 0.113367i | ||||
\(862\) | −26.1892 | −0.892007 | ||||||||
\(863\) | 9.47598 | 0.322566 | 0.161283 | − | 0.986908i | \(-0.448437\pi\) | ||||
0.161283 | + | 0.986908i | \(0.448437\pi\) | |||||||
\(864\) | 6.66043 | 0.226592 | ||||||||
\(865\) | 19.4351i | 0.660813i | ||||||||
\(866\) | −50.6681 | −1.72177 | ||||||||
\(867\) | − | 5.30340i | − | 0.180113i | ||||||
\(868\) | 7.89017 | − | 0.967474i | 0.267810 | − | 0.0328382i | ||||
\(869\) | −30.2895 | + | 36.4995i | −1.02750 | + | 1.23816i | ||||
\(870\) | −21.0665 | −0.714222 | ||||||||
\(871\) | −9.61488 | −0.325788 | ||||||||
\(872\) | −19.4177 | −0.657565 | ||||||||
\(873\) | − | 17.6891i | − | 0.598684i | ||||||
\(874\) | 84.4066i | 2.85510i | ||||||||
\(875\) | 2.62608 | − | 0.322004i | 0.0887778 | − | 0.0108857i | ||||
\(876\) | − | 47.0728i | − | 1.59044i | ||||||
\(877\) | 35.3287i | 1.19297i | 0.802626 | + | 0.596483i | \(0.203436\pi\) | ||||
−0.802626 | + | 0.596483i | \(0.796564\pi\) | |||||||
\(878\) | 18.0273i | 0.608391i | ||||||||
\(879\) | 5.92944i | 0.199995i | ||||||||
\(880\) | −2.01214 | + | 2.42468i | −0.0678294 | + | 0.0817359i | ||||
\(881\) | 26.0042i | 0.876105i | 0.898949 | + | 0.438052i | \(0.144332\pi\) | ||||
−0.898949 | + | 0.438052i | \(0.855668\pi\) | |||||||
\(882\) | −3.78639 | − | 15.2077i | −0.127494 | − | 0.512069i | ||||
\(883\) | −9.50807 | −0.319972 | −0.159986 | − | 0.987119i | \(-0.551145\pi\) | ||||
−0.159986 | + | 0.987119i | \(0.551145\pi\) | |||||||
\(884\) | 8.67886 | 0.291902 | ||||||||
\(885\) | − | 10.7490i | − | 0.361323i | ||||||
\(886\) | 40.3548i | 1.35575i | ||||||||
\(887\) | −15.5638 | −0.522582 | −0.261291 | − | 0.965260i | \(-0.584148\pi\) | ||||
−0.261291 | + | 0.965260i | \(0.584148\pi\) | |||||||
\(888\) | −3.19621 | −0.107258 | ||||||||
\(889\) | 12.4012 | − | 1.52061i | 0.415925 | − | 0.0509997i | ||||
\(890\) | − | 39.0887i | − | 1.31026i | ||||||
\(891\) | −2.55226 | − | 2.11802i | −0.0855038 | − | 0.0709562i | ||||
\(892\) | − | 77.5826i | − | 2.59766i | ||||||
\(893\) | 51.1216i | 1.71072i | ||||||||
\(894\) | − | 27.7125i | − | 0.926846i | ||||||
\(895\) | 15.1145i | 0.505223i | ||||||||
\(896\) | 41.5193 | − | 5.09101i | 1.38706 | − | 0.170079i | ||||
\(897\) | − | 5.03320i | − | 0.168054i | ||||||
\(898\) | − | 73.8795i | − | 2.46539i | ||||||
\(899\) | −9.38479 | −0.313000 | ||||||||
\(900\) | −3.01246 | −0.100415 | ||||||||
\(901\) | 13.0259 | 0.433956 | ||||||||
\(902\) | 48.9868 | − | 59.0302i | 1.63108 | − | 1.96549i | ||||
\(903\) | −3.24439 | − | 26.4594i | −0.107967 | − | 0.880514i | ||||
\(904\) | − | 3.44342i | − | 0.114526i | ||||||
\(905\) | 10.4440 | 0.347171 | ||||||||
\(906\) | − | 29.8257i | − | 0.990894i | ||||||
\(907\) | 4.27141 | 0.141830 | 0.0709149 | − | 0.997482i | \(-0.477408\pi\) | ||||
0.0709149 | + | 0.997482i | \(0.477408\pi\) | |||||||
\(908\) | 23.5940 | 0.782995 | ||||||||
\(909\) | −0.702211 | −0.0232909 | ||||||||
\(910\) | 0.607294 | + | 4.95274i | 0.0201316 | + | 0.164182i | ||||
\(911\) | −41.7023 | −1.38166 | −0.690829 | − | 0.723018i | \(-0.742754\pi\) | ||||
−0.690829 | + | 0.723018i | \(0.742754\pi\) | |||||||
\(912\) | − | 5.99444i | − | 0.198496i | ||||||
\(913\) | 2.41560 | + | 2.00461i | 0.0799446 | + | 0.0663429i | ||||
\(914\) | 3.92305 | 0.129763 | ||||||||
\(915\) | 3.15296 | 0.104234 | ||||||||
\(916\) | − | 38.7581i | − | 1.28060i | ||||||
\(917\) | 3.18370 | + | 25.9645i | 0.105135 | + | 0.857423i | ||||
\(918\) | 7.65694 | 0.252717 | ||||||||
\(919\) | 28.0644i | 0.925758i | 0.886421 | + | 0.462879i | \(0.153184\pi\) | ||||
−0.886421 | + | 0.462879i | \(0.846816\pi\) | |||||||
\(920\) | 13.5436 | 0.446520 | ||||||||
\(921\) | 7.12996i | 0.234940i | ||||||||
\(922\) | 66.4597i | 2.18873i | ||||||||
\(923\) | −3.57440 | −0.117653 | ||||||||
\(924\) | −22.2453 | − | 14.2798i | −0.731818 | − | 0.469771i | ||||
\(925\) | −1.41004 | −0.0463620 | ||||||||
\(926\) | − | 42.7304i | − | 1.40421i | ||||||
\(927\) | 7.05904i | 0.231849i | ||||||||
\(928\) | −62.6714 | −2.05729 | ||||||||
\(929\) | − | 2.91014i | − | 0.0954785i | −0.998860 | − | 0.0477392i | \(-0.984798\pi\) | ||
0.998860 | − | 0.0477392i | \(-0.0152017\pi\) | |||||||
\(930\) | −2.23297 | −0.0732219 | ||||||||
\(931\) | −42.8604 | + | 10.6713i | −1.40469 | + | 0.349739i | ||||
\(932\) | − | 51.7040i | − | 1.69362i | ||||||
\(933\) | −34.4437 | −1.12764 | ||||||||
\(934\) | 16.1102 | 0.527141 | ||||||||
\(935\) | −7.24368 | + | 8.72879i | −0.236894 | + | 0.285462i | ||||
\(936\) | − | 1.90948i | − | 0.0624131i | ||||||
\(937\) | −25.5190 | −0.833669 | −0.416835 | − | 0.908982i | \(-0.636861\pi\) | ||||
−0.416835 | + | 0.908982i | \(0.636861\pi\) | |||||||
\(938\) | −67.1067 | + | 8.22847i | −2.19111 | + | 0.268669i | ||||
\(939\) | −6.36649 | −0.207763 | ||||||||
\(940\) | 24.4066 | 0.796055 | ||||||||
\(941\) | 28.3781 | 0.925099 | 0.462550 | − | 0.886593i | \(-0.346935\pi\) | ||||
0.462550 | + | 0.886593i | \(0.346935\pi\) | |||||||
\(942\) | 20.1434i | 0.656309i | ||||||||
\(943\) | 61.7245 | 2.01003 | ||||||||
\(944\) | − | 10.2117i | − | 0.332362i | ||||||
\(945\) | 0.322004 | + | 2.62608i | 0.0104748 | + | 0.0854265i | ||||
\(946\) | −57.5733 | − | 47.7778i | −1.87187 | − | 1.55339i | ||||
\(947\) | −37.1288 | −1.20652 | −0.603262 | − | 0.797543i | \(-0.706133\pi\) | ||||
−0.603262 | + | 0.797543i | \(0.706133\pi\) | |||||||
\(948\) | −43.0808 | −1.39920 | ||||||||
\(949\) | 13.1632 | 0.427295 | ||||||||
\(950\) | 14.1268i | 0.458334i | ||||||||
\(951\) | − | 16.9314i | − | 0.549038i | ||||||
\(952\) | 20.3583 | − | 2.49628i | 0.659815 | − | 0.0809050i | ||||
\(953\) | 4.50804i | 0.146030i | 0.997331 | + | 0.0730148i | \(0.0232620\pi\) | ||||
−0.997331 | + | 0.0730148i | \(0.976738\pi\) | |||||||
\(954\) | − | 8.52715i | − | 0.276077i | ||||||
\(955\) | 12.2395i | 0.396062i | ||||||||
\(956\) | 31.1623i | 1.00786i | ||||||||
\(957\) | 24.0155 | + | 19.9295i | 0.776311 | + | 0.644230i | ||||
\(958\) | 42.7954i | 1.38266i | ||||||||
\(959\) | −1.85843 | − | 15.1563i | −0.0600117 | − | 0.489422i | ||||
\(960\) | −13.0117 | −0.419950 | ||||||||
\(961\) | 30.0052 | 0.967911 | ||||||||
\(962\) | − | 2.65932i | − | 0.0857398i | ||||||
\(963\) | 10.5977i | 0.341505i | ||||||||
\(964\) | −24.1941 | −0.779239 | ||||||||
\(965\) | −6.70826 | −0.215946 | ||||||||
\(966\) | −4.30744 | − | 35.1291i | −0.138590 | − | 1.13026i | ||||
\(967\) | 2.23412i | 0.0718443i | 0.999355 | + | 0.0359222i | \(0.0114368\pi\) | ||||
−0.999355 | + | 0.0359222i | \(0.988563\pi\) | |||||||
\(968\) | −24.5067 | + | 4.59700i | −0.787677 | + | 0.147753i | ||||
\(969\) | − | 21.5798i | − | 0.693244i | ||||||
\(970\) | 39.6032i | 1.27158i | ||||||||
\(971\) | − | 38.0083i | − | 1.21974i | −0.792500 | − | 0.609872i | \(-0.791221\pi\) | ||
0.792500 | − | 0.609872i | \(-0.208779\pi\) | |||||||
\(972\) | − | 3.01246i | − | 0.0966246i | ||||||
\(973\) | −3.20109 | − | 26.1063i | −0.102622 | − | 0.836930i | ||||
\(974\) | − | 32.9431i | − | 1.05556i | ||||||
\(975\) | − | 0.842387i | − | 0.0269780i | ||||||
\(976\) | 2.99536 | 0.0958790 | ||||||||
\(977\) | −6.02399 | −0.192725 | −0.0963623 | − | 0.995346i | \(-0.530721\pi\) | ||||
−0.0963623 | + | 0.995346i | \(0.530721\pi\) | |||||||
\(978\) | −2.80047 | −0.0895492 | ||||||||
\(979\) | −36.9790 | + | 44.5605i | −1.18185 | + | 1.42416i | ||||
\(980\) | 5.09473 | + | 20.4625i | 0.162745 | + | 0.653651i | ||||
\(981\) | − | 8.56633i | − | 0.273502i | ||||||
\(982\) | −43.1119 | −1.37576 | ||||||||
\(983\) | 11.4819i | 0.366214i | 0.983093 | + | 0.183107i | \(0.0586155\pi\) | ||||
−0.983093 | + | 0.183107i | \(0.941384\pi\) | |||||||
\(984\) | 23.4168 | 0.746500 | ||||||||
\(985\) | −7.20052 | −0.229427 | ||||||||
\(986\) | −72.0482 | −2.29448 | ||||||||
\(987\) | −2.60884 | − | 21.2762i | −0.0830403 | − | 0.677230i | ||||
\(988\) | −16.0122 | −0.509416 | ||||||||
\(989\) | − | 60.2011i | − | 1.91428i | ||||||
\(990\) | 5.71412 | + | 4.74192i | 0.181607 | + | 0.150708i | ||||
\(991\) | 42.8247 | 1.36037 | 0.680185 | − | 0.733040i | \(-0.261899\pi\) | ||||
0.680185 | + | 0.733040i | \(0.261899\pi\) | |||||||
\(992\) | −6.64292 | −0.210913 | ||||||||
\(993\) | − | 22.2475i | − | 0.706004i | ||||||
\(994\) | −24.9474 | + | 3.05899i | −0.791284 | + | 0.0970254i | ||||
\(995\) | 24.0485 | 0.762390 | ||||||||
\(996\) | 2.85116i | 0.0903424i | ||||||||
\(997\) | −19.3516 | −0.612873 | −0.306436 | − | 0.951891i | \(-0.599137\pi\) | ||||
−0.306436 | + | 0.951891i | \(0.599137\pi\) | |||||||
\(998\) | 24.1099i | 0.763185i | ||||||||
\(999\) | − | 1.41004i | − | 0.0446118i |
(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 | 1155.2.i.d.76.17 | yes | 32 | |
7.6 | odd | 2 | inner | 1155.2.i.d.76.15 | ✓ | 32 | |
11.10 | odd | 2 | inner | 1155.2.i.d.76.16 | yes | 32 | |
77.76 | even | 2 | inner | 1155.2.i.d.76.18 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.i.d.76.15 | ✓ | 32 | 7.6 | odd | 2 | inner | |
1155.2.i.d.76.16 | yes | 32 | 11.10 | odd | 2 | inner | |
1155.2.i.d.76.17 | yes | 32 | 1.1 | even | 1 | trivial | |
1155.2.i.d.76.18 | yes | 32 | 77.76 | even | 2 | inner |