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 | 76.6 | ||
Character | \(\chi\) | \(=\) | 1155.76 |
Dual form | 1155.2.i.d.76.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.40558i | 1.70100i | 0.525973 | + | 0.850501i | \(0.323701\pi\) | ||||
−0.525973 | + | 0.850501i | \(0.676299\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −3.78682 | −1.89341 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | −2.40558 | −0.982074 | ||||||||
\(7\) | 1.69010 | + | 2.03557i | 0.638799 | + | 0.769374i | ||||
\(8\) | − | 4.29833i | − | 1.51969i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −2.40558 | −0.760711 | ||||||||
\(11\) | 2.71459 | + | 1.90552i | 0.818480 | + | 0.574535i | ||||
\(12\) | − | 3.78682i | − | 1.09316i | ||||||
\(13\) | −4.65071 | −1.28987 | −0.644937 | − | 0.764235i | \(-0.723117\pi\) | ||||
−0.644937 | + | 0.764235i | \(0.723117\pi\) | |||||||
\(14\) | −4.89673 | + | 4.06568i | −1.30871 | + | 1.08660i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 2.76635 | 0.691587 | ||||||||
\(17\) | 0.659618 | 0.159981 | 0.0799905 | − | 0.996796i | \(-0.474511\pi\) | ||||
0.0799905 | + | 0.996796i | \(0.474511\pi\) | |||||||
\(18\) | − | 2.40558i | − | 0.567001i | ||||||
\(19\) | −0.0804002 | −0.0184451 | −0.00922253 | − | 0.999957i | \(-0.502936\pi\) | ||||
−0.00922253 | + | 0.999957i | \(0.502936\pi\) | |||||||
\(20\) | − | 3.78682i | − | 0.846758i | ||||||
\(21\) | −2.03557 | + | 1.69010i | −0.444198 | + | 0.368811i | ||||
\(22\) | −4.58388 | + | 6.53017i | −0.977286 | + | 1.39224i | ||||
\(23\) | −3.80729 | −0.793874 | −0.396937 | − | 0.917846i | \(-0.629927\pi\) | ||||
−0.396937 | + | 0.917846i | \(0.629927\pi\) | |||||||
\(24\) | 4.29833 | 0.877393 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 11.1877i | − | 2.19408i | ||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −6.40011 | − | 7.70833i | −1.20951 | − | 1.45674i | ||||
\(29\) | 8.10222i | 1.50455i | 0.658852 | + | 0.752273i | \(0.271042\pi\) | ||||
−0.658852 | + | 0.752273i | \(0.728958\pi\) | |||||||
\(30\) | − | 2.40558i | − | 0.439197i | ||||||
\(31\) | − | 3.95104i | − | 0.709628i | −0.934937 | − | 0.354814i | \(-0.884544\pi\) | ||
0.934937 | − | 0.354814i | \(-0.115456\pi\) | |||||||
\(32\) | − | 1.94199i | − | 0.343299i | ||||||
\(33\) | −1.90552 | + | 2.71459i | −0.331708 | + | 0.472550i | ||||
\(34\) | 1.58676i | 0.272128i | ||||||||
\(35\) | −2.03557 | + | 1.69010i | −0.344074 | + | 0.285680i | ||||
\(36\) | 3.78682 | 0.631136 | ||||||||
\(37\) | −5.99548 | −0.985650 | −0.492825 | − | 0.870128i | \(-0.664036\pi\) | ||||
−0.492825 | + | 0.870128i | \(0.664036\pi\) | |||||||
\(38\) | − | 0.193409i | − | 0.0313751i | ||||||
\(39\) | − | 4.65071i | − | 0.744710i | ||||||
\(40\) | 4.29833 | 0.679626 | ||||||||
\(41\) | 4.39060 | 0.685697 | 0.342849 | − | 0.939391i | \(-0.388608\pi\) | ||||
0.342849 | + | 0.939391i | \(0.388608\pi\) | |||||||
\(42\) | −4.06568 | − | 4.89673i | −0.627348 | − | 0.755582i | ||||
\(43\) | 5.26124i | 0.802332i | 0.916005 | + | 0.401166i | \(0.131395\pi\) | ||||
−0.916005 | + | 0.401166i | \(0.868605\pi\) | |||||||
\(44\) | −10.2797 | − | 7.21585i | −1.54972 | − | 1.08783i | ||||
\(45\) | − | 1.00000i | − | 0.149071i | ||||||
\(46\) | − | 9.15873i | − | 1.35038i | ||||||
\(47\) | − | 7.38022i | − | 1.07652i | −0.842780 | − | 0.538258i | \(-0.819083\pi\) | ||
0.842780 | − | 0.538258i | \(-0.180917\pi\) | |||||||
\(48\) | 2.76635i | 0.399288i | ||||||||
\(49\) | −1.28710 | + | 6.88065i | −0.183871 | + | 0.982950i | ||||
\(50\) | − | 2.40558i | − | 0.340200i | ||||||
\(51\) | 0.659618i | 0.0923650i | ||||||||
\(52\) | 17.6114 | 2.44226 | ||||||||
\(53\) | −3.67876 | −0.505316 | −0.252658 | − | 0.967556i | \(-0.581305\pi\) | ||||
−0.252658 | + | 0.967556i | \(0.581305\pi\) | |||||||
\(54\) | 2.40558 | 0.327358 | ||||||||
\(55\) | −1.90552 | + | 2.71459i | −0.256940 | + | 0.366035i | ||||
\(56\) | 8.74956 | − | 7.26462i | 1.16921 | − | 0.970776i | ||||
\(57\) | − | 0.0804002i | − | 0.0106493i | ||||||
\(58\) | −19.4905 | −2.55923 | ||||||||
\(59\) | − | 6.62923i | − | 0.863053i | −0.902100 | − | 0.431526i | \(-0.857975\pi\) | ||
0.902100 | − | 0.431526i | \(-0.142025\pi\) | |||||||
\(60\) | 3.78682 | 0.488876 | ||||||||
\(61\) | 14.5030 | 1.85692 | 0.928459 | − | 0.371434i | \(-0.121134\pi\) | ||||
0.928459 | + | 0.371434i | \(0.121134\pi\) | |||||||
\(62\) | 9.50455 | 1.20708 | ||||||||
\(63\) | −1.69010 | − | 2.03557i | −0.212933 | − | 0.256458i | ||||
\(64\) | 10.2043 | 1.27554 | ||||||||
\(65\) | − | 4.65071i | − | 0.576850i | ||||||
\(66\) | −6.53017 | − | 4.58388i | −0.803808 | − | 0.564236i | ||||
\(67\) | −6.70622 | −0.819295 | −0.409648 | − | 0.912244i | \(-0.634348\pi\) | ||||
−0.409648 | + | 0.912244i | \(0.634348\pi\) | |||||||
\(68\) | −2.49785 | −0.302909 | ||||||||
\(69\) | − | 3.80729i | − | 0.458343i | ||||||
\(70\) | −4.06568 | − | 4.89673i | −0.485942 | − | 0.585271i | ||||
\(71\) | 14.8253 | 1.75944 | 0.879721 | − | 0.475490i | \(-0.157729\pi\) | ||||
0.879721 | + | 0.475490i | \(0.157729\pi\) | |||||||
\(72\) | 4.29833i | 0.506563i | ||||||||
\(73\) | 6.71133 | 0.785502 | 0.392751 | − | 0.919645i | \(-0.371523\pi\) | ||||
0.392751 | + | 0.919645i | \(0.371523\pi\) | |||||||
\(74\) | − | 14.4226i | − | 1.67659i | ||||||
\(75\) | − | 1.00000i | − | 0.115470i | ||||||
\(76\) | 0.304461 | 0.0349240 | ||||||||
\(77\) | 0.709123 | + | 8.74626i | 0.0808120 | + | 0.996729i | ||||
\(78\) | 11.1877 | 1.26675 | ||||||||
\(79\) | 4.24069i | 0.477115i | 0.971128 | + | 0.238557i | \(0.0766745\pi\) | ||||
−0.971128 | + | 0.238557i | \(0.923326\pi\) | |||||||
\(80\) | 2.76635i | 0.309287i | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 10.5619i | 1.16637i | ||||||||
\(83\) | −2.35068 | −0.258020 | −0.129010 | − | 0.991643i | \(-0.541180\pi\) | ||||
−0.129010 | + | 0.991643i | \(0.541180\pi\) | |||||||
\(84\) | 7.70833 | − | 6.40011i | 0.841048 | − | 0.698309i | ||||
\(85\) | 0.659618i | 0.0715456i | ||||||||
\(86\) | −12.6563 | −1.36477 | ||||||||
\(87\) | −8.10222 | −0.868649 | ||||||||
\(88\) | 8.19054 | − | 11.6682i | 0.873115 | − | 1.24384i | ||||
\(89\) | − | 10.1884i | − | 1.07996i | −0.841676 | − | 0.539982i | \(-0.818431\pi\) | ||
0.841676 | − | 0.539982i | \(-0.181569\pi\) | |||||||
\(90\) | 2.40558 | 0.253570 | ||||||||
\(91\) | −7.86018 | − | 9.46685i | −0.823971 | − | 0.992396i | ||||
\(92\) | 14.4175 | 1.50313 | ||||||||
\(93\) | 3.95104 | 0.409704 | ||||||||
\(94\) | 17.7537 | 1.83116 | ||||||||
\(95\) | − | 0.0804002i | − | 0.00824888i | ||||||
\(96\) | 1.94199 | 0.198204 | ||||||||
\(97\) | 4.04513i | 0.410721i | 0.978686 | + | 0.205360i | \(0.0658366\pi\) | ||||
−0.978686 | + | 0.205360i | \(0.934163\pi\) | |||||||
\(98\) | −16.5520 | − | 3.09622i | −1.67200 | − | 0.312766i | ||||
\(99\) | −2.71459 | − | 1.90552i | −0.272827 | − | 0.191512i | ||||
\(100\) | 3.78682 | 0.378682 | ||||||||
\(101\) | −7.77046 | −0.773190 | −0.386595 | − | 0.922250i | \(-0.626349\pi\) | ||||
−0.386595 | + | 0.922250i | \(0.626349\pi\) | |||||||
\(102\) | −1.58676 | −0.157113 | ||||||||
\(103\) | 15.0740i | 1.48528i | 0.669690 | + | 0.742641i | \(0.266427\pi\) | ||||
−0.669690 | + | 0.742641i | \(0.733573\pi\) | |||||||
\(104\) | 19.9903i | 1.96021i | ||||||||
\(105\) | −1.69010 | − | 2.03557i | −0.164937 | − | 0.198651i | ||||
\(106\) | − | 8.84954i | − | 0.859544i | ||||||
\(107\) | − | 9.45278i | − | 0.913834i | −0.889509 | − | 0.456917i | \(-0.848954\pi\) | ||
0.889509 | − | 0.456917i | \(-0.151046\pi\) | |||||||
\(108\) | 3.78682i | 0.364387i | ||||||||
\(109\) | 10.5884i | 1.01418i | 0.861893 | + | 0.507091i | \(0.169279\pi\) | ||||
−0.861893 | + | 0.507091i | \(0.830721\pi\) | |||||||
\(110\) | −6.53017 | − | 4.58388i | −0.622627 | − | 0.437055i | ||||
\(111\) | − | 5.99548i | − | 0.569065i | ||||||
\(112\) | 4.67541 | + | 5.63109i | 0.441785 | + | 0.532088i | ||||
\(113\) | −1.37754 | −0.129588 | −0.0647940 | − | 0.997899i | \(-0.520639\pi\) | ||||
−0.0647940 | + | 0.997899i | \(0.520639\pi\) | |||||||
\(114\) | 0.193409 | 0.0181144 | ||||||||
\(115\) | − | 3.80729i | − | 0.355031i | ||||||
\(116\) | − | 30.6816i | − | 2.84872i | ||||||
\(117\) | 4.65071 | 0.429958 | ||||||||
\(118\) | 15.9472 | 1.46805 | ||||||||
\(119\) | 1.11482 | + | 1.34270i | 0.102196 | + | 0.123085i | ||||
\(120\) | 4.29833i | 0.392382i | ||||||||
\(121\) | 3.73800 | + | 10.3454i | 0.339819 | + | 0.940491i | ||||
\(122\) | 34.8881i | 3.15862i | ||||||||
\(123\) | 4.39060i | 0.395887i | ||||||||
\(124\) | 14.9619i | 1.34362i | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 4.89673 | − | 4.06568i | 0.436235 | − | 0.362200i | ||||
\(127\) | 18.8937i | 1.67655i | 0.545250 | + | 0.838273i | \(0.316435\pi\) | ||||
−0.545250 | + | 0.838273i | \(0.683565\pi\) | |||||||
\(128\) | 20.6633i | 1.82640i | ||||||||
\(129\) | −5.26124 | −0.463227 | ||||||||
\(130\) | 11.1877 | 0.981222 | ||||||||
\(131\) | −8.64539 | −0.755352 | −0.377676 | − | 0.925938i | \(-0.623277\pi\) | ||||
−0.377676 | + | 0.925938i | \(0.623277\pi\) | |||||||
\(132\) | 7.21585 | − | 10.2797i | 0.628059 | − | 0.894729i | ||||
\(133\) | −0.135885 | − | 0.163660i | −0.0117827 | − | 0.0141911i | ||||
\(134\) | − | 16.1324i | − | 1.39362i | ||||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | − | 2.83526i | − | 0.243121i | ||||||
\(137\) | 14.3876 | 1.22921 | 0.614606 | − | 0.788834i | \(-0.289315\pi\) | ||||
0.614606 | + | 0.788834i | \(0.289315\pi\) | |||||||
\(138\) | 9.15873 | 0.779643 | ||||||||
\(139\) | −16.8889 | −1.43249 | −0.716247 | − | 0.697847i | \(-0.754142\pi\) | ||||
−0.716247 | + | 0.697847i | \(0.754142\pi\) | |||||||
\(140\) | 7.70833 | − | 6.40011i | 0.651473 | − | 0.540908i | ||||
\(141\) | 7.38022 | 0.621527 | ||||||||
\(142\) | 35.6635i | 2.99282i | ||||||||
\(143\) | −12.6248 | − | 8.86201i | −1.05574 | − | 0.741079i | ||||
\(144\) | −2.76635 | −0.230529 | ||||||||
\(145\) | −8.10222 | −0.672853 | ||||||||
\(146\) | 16.1446i | 1.33614i | ||||||||
\(147\) | −6.88065 | − | 1.28710i | −0.567507 | − | 0.106158i | ||||
\(148\) | 22.7038 | 1.86624 | ||||||||
\(149\) | − | 0.839325i | − | 0.0687602i | −0.999409 | − | 0.0343801i | \(-0.989054\pi\) | ||
0.999409 | − | 0.0343801i | \(-0.0109457\pi\) | |||||||
\(150\) | 2.40558 | 0.196415 | ||||||||
\(151\) | 7.93126i | 0.645437i | 0.946495 | + | 0.322718i | \(0.104597\pi\) | ||||
−0.946495 | + | 0.322718i | \(0.895403\pi\) | |||||||
\(152\) | 0.345586i | 0.0280308i | ||||||||
\(153\) | −0.659618 | −0.0533270 | ||||||||
\(154\) | −21.0398 | + | 1.70585i | −1.69544 | + | 0.137461i | ||||
\(155\) | 3.95104 | 0.317355 | ||||||||
\(156\) | 17.6114i | 1.41004i | ||||||||
\(157\) | 3.42988i | 0.273734i | 0.990589 | + | 0.136867i | \(0.0437033\pi\) | ||||
−0.990589 | + | 0.136867i | \(0.956297\pi\) | |||||||
\(158\) | −10.2013 | −0.811573 | ||||||||
\(159\) | − | 3.67876i | − | 0.291744i | ||||||
\(160\) | 1.94199 | 0.153528 | ||||||||
\(161\) | −6.43471 | − | 7.75000i | −0.507126 | − | 0.610786i | ||||
\(162\) | 2.40558i | 0.189000i | ||||||||
\(163\) | −18.0102 | −1.41066 | −0.705332 | − | 0.708877i | \(-0.749202\pi\) | ||||
−0.705332 | + | 0.708877i | \(0.749202\pi\) | |||||||
\(164\) | −16.6264 | −1.29830 | ||||||||
\(165\) | −2.71459 | − | 1.90552i | −0.211331 | − | 0.148344i | ||||
\(166\) | − | 5.65475i | − | 0.438893i | ||||||
\(167\) | 2.82747 | 0.218796 | 0.109398 | − | 0.993998i | \(-0.465108\pi\) | ||||
0.109398 | + | 0.993998i | \(0.465108\pi\) | |||||||
\(168\) | 7.26462 | + | 8.74956i | 0.560478 | + | 0.675043i | ||||
\(169\) | 8.62910 | 0.663777 | ||||||||
\(170\) | −1.58676 | −0.121699 | ||||||||
\(171\) | 0.0804002 | 0.00614835 | ||||||||
\(172\) | − | 19.9234i | − | 1.51914i | ||||||
\(173\) | −16.4879 | −1.25355 | −0.626777 | − | 0.779199i | \(-0.715626\pi\) | ||||
−0.626777 | + | 0.779199i | \(0.715626\pi\) | |||||||
\(174\) | − | 19.4905i | − | 1.47757i | ||||||
\(175\) | −1.69010 | − | 2.03557i | −0.127760 | − | 0.153875i | ||||
\(176\) | 7.50950 | + | 5.27132i | 0.566050 | + | 0.397341i | ||||
\(177\) | 6.62923 | 0.498284 | ||||||||
\(178\) | 24.5089 | 1.83702 | ||||||||
\(179\) | 7.60126 | 0.568145 | 0.284072 | − | 0.958803i | \(-0.408314\pi\) | ||||
0.284072 | + | 0.958803i | \(0.408314\pi\) | |||||||
\(180\) | 3.78682i | 0.282253i | ||||||||
\(181\) | 21.2622i | 1.58040i | 0.612847 | + | 0.790202i | \(0.290024\pi\) | ||||
−0.612847 | + | 0.790202i | \(0.709976\pi\) | |||||||
\(182\) | 22.7733 | − | 18.9083i | 1.68807 | − | 1.40158i | ||||
\(183\) | 14.5030i | 1.07209i | ||||||||
\(184\) | 16.3650i | 1.20644i | ||||||||
\(185\) | − | 5.99548i | − | 0.440796i | ||||||
\(186\) | 9.50455i | 0.696907i | ||||||||
\(187\) | 1.79059 | + | 1.25691i | 0.130941 | + | 0.0919147i | ||||
\(188\) | 27.9476i | 2.03828i | ||||||||
\(189\) | 2.03557 | − | 1.69010i | 0.148066 | − | 0.122937i | ||||
\(190\) | 0.193409 | 0.0140314 | ||||||||
\(191\) | 22.0784 | 1.59754 | 0.798770 | − | 0.601637i | \(-0.205485\pi\) | ||||
0.798770 | + | 0.601637i | \(0.205485\pi\) | |||||||
\(192\) | 10.2043i | 0.736433i | ||||||||
\(193\) | − | 24.6257i | − | 1.77259i | −0.463117 | − | 0.886297i | \(-0.653269\pi\) | ||
0.463117 | − | 0.886297i | \(-0.346731\pi\) | |||||||
\(194\) | −9.73088 | −0.698637 | ||||||||
\(195\) | 4.65071 | 0.333044 | ||||||||
\(196\) | 4.87401 | − | 26.0558i | 0.348144 | − | 1.86113i | ||||
\(197\) | 6.05578i | 0.431456i | 0.976453 | + | 0.215728i | \(0.0692125\pi\) | ||||
−0.976453 | + | 0.215728i | \(0.930787\pi\) | |||||||
\(198\) | 4.58388 | − | 6.53017i | 0.325762 | − | 0.464079i | ||||
\(199\) | 15.1981i | 1.07737i | 0.842509 | + | 0.538683i | \(0.181078\pi\) | ||||
−0.842509 | + | 0.538683i | \(0.818922\pi\) | |||||||
\(200\) | 4.29833i | 0.303938i | ||||||||
\(201\) | − | 6.70622i | − | 0.473020i | ||||||
\(202\) | − | 18.6925i | − | 1.31520i | ||||||
\(203\) | −16.4927 | + | 13.6936i | −1.15756 | + | 0.961102i | ||||
\(204\) | − | 2.49785i | − | 0.174885i | ||||||
\(205\) | 4.39060i | 0.306653i | ||||||||
\(206\) | −36.2616 | −2.52647 | ||||||||
\(207\) | 3.80729 | 0.264625 | ||||||||
\(208\) | −12.8655 | −0.892060 | ||||||||
\(209\) | −0.218254 | − | 0.153204i | −0.0150969 | − | 0.0105973i | ||||
\(210\) | 4.89673 | − | 4.06568i | 0.337906 | − | 0.280559i | ||||
\(211\) | − | 10.3975i | − | 0.715795i | −0.933761 | − | 0.357898i | \(-0.883494\pi\) | ||
0.933761 | − | 0.357898i | \(-0.116506\pi\) | |||||||
\(212\) | 13.9308 | 0.956770 | ||||||||
\(213\) | 14.8253i | 1.01581i | ||||||||
\(214\) | 22.7394 | 1.55443 | ||||||||
\(215\) | −5.26124 | −0.358814 | ||||||||
\(216\) | −4.29833 | −0.292464 | ||||||||
\(217\) | 8.04263 | − | 6.67767i | 0.545969 | − | 0.453310i | ||||
\(218\) | −25.4712 | −1.72512 | ||||||||
\(219\) | 6.71133i | 0.453510i | ||||||||
\(220\) | 7.21585 | − | 10.2797i | 0.486492 | − | 0.693054i | ||||
\(221\) | −3.06769 | −0.206355 | ||||||||
\(222\) | 14.4226 | 0.967981 | ||||||||
\(223\) | − | 21.4094i | − | 1.43368i | −0.697238 | − | 0.716840i | \(-0.745588\pi\) | ||
0.697238 | − | 0.716840i | \(-0.254412\pi\) | |||||||
\(224\) | 3.95307 | − | 3.28217i | 0.264125 | − | 0.219299i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | − | 3.31378i | − | 0.220430i | ||||||
\(227\) | 0.584050 | 0.0387648 | 0.0193824 | − | 0.999812i | \(-0.493830\pi\) | ||||
0.0193824 | + | 0.999812i | \(0.493830\pi\) | |||||||
\(228\) | 0.304461i | 0.0201634i | ||||||||
\(229\) | − | 20.8472i | − | 1.37762i | −0.724942 | − | 0.688810i | \(-0.758133\pi\) | ||
0.724942 | − | 0.688810i | \(-0.241867\pi\) | |||||||
\(230\) | 9.15873 | 0.603909 | ||||||||
\(231\) | −8.74626 | + | 0.709123i | −0.575462 | + | 0.0466568i | ||||
\(232\) | 34.8260 | 2.28644 | ||||||||
\(233\) | 16.6205i | 1.08884i | 0.838812 | + | 0.544422i | \(0.183251\pi\) | ||||
−0.838812 | + | 0.544422i | \(0.816749\pi\) | |||||||
\(234\) | 11.1877i | 0.731360i | ||||||||
\(235\) | 7.38022 | 0.481433 | ||||||||
\(236\) | 25.1037i | 1.63411i | ||||||||
\(237\) | −4.24069 | −0.275462 | ||||||||
\(238\) | −3.22997 | + | 2.68180i | −0.209368 | + | 0.173835i | ||||
\(239\) | − | 4.92640i | − | 0.318662i | −0.987225 | − | 0.159331i | \(-0.949066\pi\) | ||
0.987225 | − | 0.159331i | \(-0.0509337\pi\) | |||||||
\(240\) | −2.76635 | −0.178567 | ||||||||
\(241\) | −6.45040 | −0.415507 | −0.207753 | − | 0.978181i | \(-0.566615\pi\) | ||||
−0.207753 | + | 0.978181i | \(0.566615\pi\) | |||||||
\(242\) | −24.8867 | + | 8.99207i | −1.59978 | + | 0.578032i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −54.9202 | −3.51590 | ||||||||
\(245\) | −6.88065 | − | 1.28710i | −0.439589 | − | 0.0822298i | ||||
\(246\) | −10.5619 | −0.673405 | ||||||||
\(247\) | 0.373918 | 0.0237918 | ||||||||
\(248\) | −16.9829 | −1.07841 | ||||||||
\(249\) | − | 2.35068i | − | 0.148968i | ||||||
\(250\) | 2.40558 | 0.152142 | ||||||||
\(251\) | 24.2009i | 1.52755i | 0.645483 | + | 0.763774i | \(0.276656\pi\) | ||||
−0.645483 | + | 0.763774i | \(0.723344\pi\) | |||||||
\(252\) | 6.40011 | + | 7.70833i | 0.403169 | + | 0.485579i | ||||
\(253\) | −10.3352 | − | 7.25485i | −0.649770 | − | 0.456109i | ||||
\(254\) | −45.4504 | −2.85181 | ||||||||
\(255\) | −0.659618 | −0.0413069 | ||||||||
\(256\) | −29.2986 | −1.83116 | ||||||||
\(257\) | − | 2.94681i | − | 0.183817i | −0.995767 | − | 0.0919083i | \(-0.970703\pi\) | ||
0.995767 | − | 0.0919083i | \(-0.0292967\pi\) | |||||||
\(258\) | − | 12.6563i | − | 0.787950i | ||||||
\(259\) | −10.1330 | − | 12.2042i | −0.629632 | − | 0.758333i | ||||
\(260\) | 17.6114i | 1.09221i | ||||||||
\(261\) | − | 8.10222i | − | 0.501515i | ||||||
\(262\) | − | 20.7972i | − | 1.28485i | ||||||
\(263\) | 16.3592i | 1.00875i | 0.863485 | + | 0.504375i | \(0.168277\pi\) | ||||
−0.863485 | + | 0.504375i | \(0.831723\pi\) | |||||||
\(264\) | 11.6682 | + | 8.19054i | 0.718129 | + | 0.504093i | ||||
\(265\) | − | 3.67876i | − | 0.225984i | ||||||
\(266\) | 0.393698 | − | 0.326881i | 0.0241392 | − | 0.0200424i | ||||
\(267\) | 10.1884 | 0.623518 | ||||||||
\(268\) | 25.3952 | 1.55126 | ||||||||
\(269\) | − | 0.824772i | − | 0.0502872i | −0.999684 | − | 0.0251436i | \(-0.991996\pi\) | ||
0.999684 | − | 0.0251436i | \(-0.00800430\pi\) | |||||||
\(270\) | 2.40558i | 0.146399i | ||||||||
\(271\) | −13.7748 | −0.836760 | −0.418380 | − | 0.908272i | \(-0.637402\pi\) | ||||
−0.418380 | + | 0.908272i | \(0.637402\pi\) | |||||||
\(272\) | 1.82473 | 0.110641 | ||||||||
\(273\) | 9.46685 | − | 7.86018i | 0.572960 | − | 0.475720i | ||||
\(274\) | 34.6104i | 2.09089i | ||||||||
\(275\) | −2.71459 | − | 1.90552i | −0.163696 | − | 0.114907i | ||||
\(276\) | 14.4175i | 0.867831i | ||||||||
\(277\) | − | 3.60665i | − | 0.216703i | −0.994113 | − | 0.108351i | \(-0.965443\pi\) | ||
0.994113 | − | 0.108351i | \(-0.0345572\pi\) | |||||||
\(278\) | − | 40.6275i | − | 2.43668i | ||||||
\(279\) | 3.95104i | 0.236543i | ||||||||
\(280\) | 7.26462 | + | 8.74956i | 0.434144 | + | 0.522886i | ||||
\(281\) | 18.2573i | 1.08914i | 0.838716 | + | 0.544570i | \(0.183307\pi\) | ||||
−0.838716 | + | 0.544570i | \(0.816693\pi\) | |||||||
\(282\) | 17.7537i | 1.05722i | ||||||||
\(283\) | 30.7240 | 1.82635 | 0.913175 | − | 0.407568i | \(-0.133623\pi\) | ||||
0.913175 | + | 0.407568i | \(0.133623\pi\) | |||||||
\(284\) | −56.1408 | −3.33134 | ||||||||
\(285\) | 0.0804002 | 0.00476249 | ||||||||
\(286\) | 21.3183 | − | 30.3699i | 1.26058 | − | 1.79581i | ||||
\(287\) | 7.42057 | + | 8.93738i | 0.438023 | + | 0.527557i | ||||
\(288\) | 1.94199i | 0.114433i | ||||||||
\(289\) | −16.5649 | −0.974406 | ||||||||
\(290\) | − | 19.4905i | − | 1.14452i | ||||||
\(291\) | −4.04513 | −0.237130 | ||||||||
\(292\) | −25.4146 | −1.48728 | ||||||||
\(293\) | 21.7952 | 1.27329 | 0.636645 | − | 0.771157i | \(-0.280322\pi\) | ||||
0.636645 | + | 0.771157i | \(0.280322\pi\) | |||||||
\(294\) | 3.09622 | − | 16.5520i | 0.180575 | − | 0.965330i | ||||
\(295\) | 6.62923 | 0.385969 | ||||||||
\(296\) | 25.7705i | 1.49788i | ||||||||
\(297\) | 1.90552 | − | 2.71459i | 0.110569 | − | 0.157517i | ||||
\(298\) | 2.01906 | 0.116961 | ||||||||
\(299\) | 17.7066 | 1.02400 | ||||||||
\(300\) | 3.78682i | 0.218632i | ||||||||
\(301\) | −10.7096 | + | 8.89205i | −0.617293 | + | 0.512529i | ||||
\(302\) | −19.0793 | −1.09789 | ||||||||
\(303\) | − | 7.77046i | − | 0.446401i | ||||||
\(304\) | −0.222415 | −0.0127564 | ||||||||
\(305\) | 14.5030i | 0.830439i | ||||||||
\(306\) | − | 1.58676i | − | 0.0907093i | ||||||
\(307\) | 6.13857 | 0.350346 | 0.175173 | − | 0.984538i | \(-0.443951\pi\) | ||||
0.175173 | + | 0.984538i | \(0.443951\pi\) | |||||||
\(308\) | −2.68532 | − | 33.1205i | −0.153010 | − | 1.88722i | ||||
\(309\) | −15.0740 | −0.857528 | ||||||||
\(310\) | 9.50455i | 0.539822i | ||||||||
\(311\) | 1.49969i | 0.0850394i | 0.999096 | + | 0.0425197i | \(0.0135385\pi\) | ||||
−0.999096 | + | 0.0425197i | \(0.986461\pi\) | |||||||
\(312\) | −19.9903 | −1.13173 | ||||||||
\(313\) | 2.89092i | 0.163404i | 0.996657 | + | 0.0817022i | \(0.0260356\pi\) | ||||
−0.996657 | + | 0.0817022i | \(0.973964\pi\) | |||||||
\(314\) | −8.25084 | −0.465622 | ||||||||
\(315\) | 2.03557 | − | 1.69010i | 0.114691 | − | 0.0952266i | ||||
\(316\) | − | 16.0587i | − | 0.903373i | ||||||
\(317\) | −18.6937 | −1.04994 | −0.524971 | − | 0.851120i | \(-0.675924\pi\) | ||||
−0.524971 | + | 0.851120i | \(0.675924\pi\) | |||||||
\(318\) | 8.84954 | 0.496258 | ||||||||
\(319\) | −15.4389 | + | 21.9942i | −0.864414 | + | 1.23144i | ||||
\(320\) | 10.2043i | 0.570438i | ||||||||
\(321\) | 9.45278 | 0.527603 | ||||||||
\(322\) | 18.6433 | − | 15.4792i | 1.03895 | − | 0.862623i | ||||
\(323\) | −0.0530334 | −0.00295086 | ||||||||
\(324\) | −3.78682 | −0.210379 | ||||||||
\(325\) | 4.65071 | 0.257975 | ||||||||
\(326\) | − | 43.3249i | − | 2.39954i | ||||||
\(327\) | −10.5884 | −0.585538 | ||||||||
\(328\) | − | 18.8723i | − | 1.04205i | ||||||
\(329\) | 15.0230 | − | 12.4733i | 0.828243 | − | 0.687678i | ||||
\(330\) | 4.58388 | − | 6.53017i | 0.252334 | − | 0.359474i | ||||
\(331\) | 5.32284 | 0.292570 | 0.146285 | − | 0.989242i | \(-0.453268\pi\) | ||||
0.146285 | + | 0.989242i | \(0.453268\pi\) | |||||||
\(332\) | 8.90159 | 0.488538 | ||||||||
\(333\) | 5.99548 | 0.328550 | ||||||||
\(334\) | 6.80172i | 0.372173i | ||||||||
\(335\) | − | 6.70622i | − | 0.366400i | ||||||
\(336\) | −5.63109 | + | 4.67541i | −0.307201 | + | 0.255065i | ||||
\(337\) | − | 6.56922i | − | 0.357848i | −0.983863 | − | 0.178924i | \(-0.942738\pi\) | ||
0.983863 | − | 0.178924i | \(-0.0572617\pi\) | |||||||
\(338\) | 20.7580i | 1.12909i | ||||||||
\(339\) | − | 1.37754i | − | 0.0748177i | ||||||
\(340\) | − | 2.49785i | − | 0.135465i | ||||||
\(341\) | 7.52878 | − | 10.7255i | 0.407706 | − | 0.580816i | ||||
\(342\) | 0.193409i | 0.0104584i | ||||||||
\(343\) | −16.1814 | + | 9.00903i | −0.873713 | + | 0.486442i | ||||
\(344\) | 22.6146 | 1.21930 | ||||||||
\(345\) | 3.80729 | 0.204977 | ||||||||
\(346\) | − | 39.6630i | − | 2.13230i | ||||||
\(347\) | 22.6020i | 1.21334i | 0.794954 | + | 0.606669i | \(0.207495\pi\) | ||||
−0.794954 | + | 0.606669i | \(0.792505\pi\) | |||||||
\(348\) | 30.6816 | 1.64471 | ||||||||
\(349\) | −8.23089 | −0.440589 | −0.220295 | − | 0.975433i | \(-0.570702\pi\) | ||||
−0.220295 | + | 0.975433i | \(0.570702\pi\) | |||||||
\(350\) | 4.89673 | − | 4.06568i | 0.261741 | − | 0.217320i | ||||
\(351\) | 4.65071i | 0.248237i | ||||||||
\(352\) | 3.70050 | − | 5.27172i | 0.197237 | − | 0.280983i | ||||
\(353\) | − | 14.4320i | − | 0.768138i | −0.923304 | − | 0.384069i | \(-0.874523\pi\) | ||
0.923304 | − | 0.384069i | \(-0.125477\pi\) | |||||||
\(354\) | 15.9472i | 0.847582i | ||||||||
\(355\) | 14.8253i | 0.786847i | ||||||||
\(356\) | 38.5815i | 2.04481i | ||||||||
\(357\) | −1.34270 | + | 1.11482i | −0.0710632 | + | 0.0590027i | ||||
\(358\) | 18.2854i | 0.966415i | ||||||||
\(359\) | − | 18.8093i | − | 0.992715i | −0.868118 | − | 0.496357i | \(-0.834671\pi\) | ||
0.868118 | − | 0.496357i | \(-0.165329\pi\) | |||||||
\(360\) | −4.29833 | −0.226542 | ||||||||
\(361\) | −18.9935 | −0.999660 | ||||||||
\(362\) | −51.1478 | −2.68827 | ||||||||
\(363\) | −10.3454 | + | 3.73800i | −0.542993 | + | 0.196194i | ||||
\(364\) | 29.7651 | + | 35.8492i | 1.56011 | + | 1.87901i | ||||
\(365\) | 6.71133i | 0.351287i | ||||||||
\(366\) | −34.8881 | −1.82363 | ||||||||
\(367\) | 35.8151i | 1.86953i | 0.355263 | + | 0.934766i | \(0.384391\pi\) | ||||
−0.355263 | + | 0.934766i | \(0.615609\pi\) | |||||||
\(368\) | −10.5323 | −0.549033 | ||||||||
\(369\) | −4.39060 | −0.228566 | ||||||||
\(370\) | 14.4226 | 0.749795 | ||||||||
\(371\) | −6.21748 | − | 7.48837i | −0.322795 | − | 0.388777i | ||||
\(372\) | −14.9619 | −0.775737 | ||||||||
\(373\) | − | 13.0010i | − | 0.673165i | −0.941654 | − | 0.336583i | \(-0.890729\pi\) | ||
0.941654 | − | 0.336583i | \(-0.109271\pi\) | |||||||
\(374\) | −3.02361 | + | 4.30742i | −0.156347 | + | 0.222731i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | −31.7226 | −1.63597 | ||||||||
\(377\) | − | 37.6811i | − | 1.94067i | ||||||
\(378\) | 4.06568 | + | 4.89673i | 0.209116 | + | 0.251861i | ||||
\(379\) | 15.7149 | 0.807218 | 0.403609 | − | 0.914932i | \(-0.367756\pi\) | ||||
0.403609 | + | 0.914932i | \(0.367756\pi\) | |||||||
\(380\) | 0.304461i | 0.0156185i | ||||||||
\(381\) | −18.8937 | −0.967955 | ||||||||
\(382\) | 53.1114i | 2.71742i | ||||||||
\(383\) | 19.4519i | 0.993944i | 0.867766 | + | 0.496972i | \(0.165555\pi\) | ||||
−0.867766 | + | 0.496972i | \(0.834445\pi\) | |||||||
\(384\) | −20.6633 | −1.05447 | ||||||||
\(385\) | −8.74626 | + | 0.709123i | −0.445751 | + | 0.0361402i | ||||
\(386\) | 59.2390 | 3.01519 | ||||||||
\(387\) | − | 5.26124i | − | 0.267444i | ||||||
\(388\) | − | 15.3182i | − | 0.777662i | ||||||
\(389\) | 28.6741 | 1.45384 | 0.726918 | − | 0.686725i | \(-0.240952\pi\) | ||||
0.726918 | + | 0.686725i | \(0.240952\pi\) | |||||||
\(390\) | 11.1877i | 0.566509i | ||||||||
\(391\) | −2.51136 | −0.127005 | ||||||||
\(392\) | 29.5753 | + | 5.53238i | 1.49378 | + | 0.279427i | ||||
\(393\) | − | 8.64539i | − | 0.436102i | ||||||
\(394\) | −14.5677 | −0.733908 | ||||||||
\(395\) | −4.24069 | −0.213372 | ||||||||
\(396\) | 10.2797 | + | 7.21585i | 0.516572 | + | 0.362610i | ||||
\(397\) | 19.5780i | 0.982592i | 0.870993 | + | 0.491296i | \(0.163477\pi\) | ||||
−0.870993 | + | 0.491296i | \(0.836523\pi\) | |||||||
\(398\) | −36.5603 | −1.83260 | ||||||||
\(399\) | 0.163660 | − | 0.135885i | 0.00819326 | − | 0.00680274i | ||||
\(400\) | −2.76635 | −0.138317 | ||||||||
\(401\) | −3.58854 | −0.179203 | −0.0896015 | − | 0.995978i | \(-0.528559\pi\) | ||||
−0.0896015 | + | 0.995978i | \(0.528559\pi\) | |||||||
\(402\) | 16.1324 | 0.804609 | ||||||||
\(403\) | 18.3752i | 0.915332i | ||||||||
\(404\) | 29.4253 | 1.46396 | ||||||||
\(405\) | 1.00000i | 0.0496904i | ||||||||
\(406\) | −32.9410 | − | 39.6744i | −1.63484 | − | 1.96901i | ||||
\(407\) | −16.2753 | − | 11.4245i | −0.806735 | − | 0.566291i | ||||
\(408\) | 2.83526 | 0.140366 | ||||||||
\(409\) | −14.1578 | −0.700060 | −0.350030 | − | 0.936739i | \(-0.613829\pi\) | ||||
−0.350030 | + | 0.936739i | \(0.613829\pi\) | |||||||
\(410\) | −10.5619 | −0.521617 | ||||||||
\(411\) | 14.3876i | 0.709686i | ||||||||
\(412\) | − | 57.0823i | − | 2.81225i | ||||||
\(413\) | 13.4943 | − | 11.2041i | 0.664010 | − | 0.551317i | ||||
\(414\) | 9.15873i | 0.450127i | ||||||||
\(415\) | − | 2.35068i | − | 0.115390i | ||||||
\(416\) | 9.03165i | 0.442813i | ||||||||
\(417\) | − | 16.8889i | − | 0.827051i | ||||||
\(418\) | 0.368544 | − | 0.525026i | 0.0180261 | − | 0.0256799i | ||||
\(419\) | 17.7777i | 0.868500i | 0.900792 | + | 0.434250i | \(0.142986\pi\) | ||||
−0.900792 | + | 0.434250i | \(0.857014\pi\) | |||||||
\(420\) | 6.40011 | + | 7.70833i | 0.312294 | + | 0.376128i | ||||
\(421\) | −2.32563 | −0.113344 | −0.0566721 | − | 0.998393i | \(-0.518049\pi\) | ||||
−0.0566721 | + | 0.998393i | \(0.518049\pi\) | |||||||
\(422\) | 25.0121 | 1.21757 | ||||||||
\(423\) | 7.38022i | 0.358839i | ||||||||
\(424\) | 15.8125i | 0.767923i | ||||||||
\(425\) | −0.659618 | −0.0319962 | ||||||||
\(426\) | −35.6635 | −1.72790 | ||||||||
\(427\) | 24.5116 | + | 29.5219i | 1.18620 | + | 1.42866i | ||||
\(428\) | 35.7959i | 1.73026i | ||||||||
\(429\) | 8.86201 | − | 12.6248i | 0.427862 | − | 0.609530i | ||||
\(430\) | − | 12.6563i | − | 0.610343i | ||||||
\(431\) | 32.0050i | 1.54163i | 0.637062 | + | 0.770813i | \(0.280150\pi\) | ||||
−0.637062 | + | 0.770813i | \(0.719850\pi\) | |||||||
\(432\) | − | 2.76635i | − | 0.133096i | ||||||
\(433\) | 26.6911i | 1.28269i | 0.767252 | + | 0.641346i | \(0.221624\pi\) | ||||
−0.767252 | + | 0.641346i | \(0.778376\pi\) | |||||||
\(434\) | 16.0637 | + | 19.3472i | 0.771081 | + | 0.928695i | ||||
\(435\) | − | 8.10222i | − | 0.388472i | ||||||
\(436\) | − | 40.0962i | − | 1.92026i | ||||||
\(437\) | 0.306107 | 0.0146431 | ||||||||
\(438\) | −16.1446 | −0.771421 | ||||||||
\(439\) | 8.83818 | 0.421823 | 0.210912 | − | 0.977505i | \(-0.432357\pi\) | ||||
0.210912 | + | 0.977505i | \(0.432357\pi\) | |||||||
\(440\) | 11.6682 | + | 8.19054i | 0.556260 | + | 0.390469i | ||||
\(441\) | 1.28710 | − | 6.88065i | 0.0612904 | − | 0.327650i | ||||
\(442\) | − | 7.37958i | − | 0.351011i | ||||||
\(443\) | 31.0075 | 1.47321 | 0.736606 | − | 0.676322i | \(-0.236427\pi\) | ||||
0.736606 | + | 0.676322i | \(0.236427\pi\) | |||||||
\(444\) | 22.7038i | 1.07747i | ||||||||
\(445\) | 10.1884 | 0.482975 | ||||||||
\(446\) | 51.5020 | 2.43869 | ||||||||
\(447\) | 0.839325 | 0.0396987 | ||||||||
\(448\) | 17.2463 | + | 20.7716i | 0.814813 | + | 0.981366i | ||||
\(449\) | 39.0429 | 1.84255 | 0.921273 | − | 0.388915i | \(-0.127150\pi\) | ||||
0.921273 | + | 0.388915i | \(0.127150\pi\) | |||||||
\(450\) | 2.40558i | 0.113400i | ||||||||
\(451\) | 11.9187 | + | 8.36637i | 0.561229 | + | 0.393957i | ||||
\(452\) | 5.21649 | 0.245363 | ||||||||
\(453\) | −7.93126 | −0.372643 | ||||||||
\(454\) | 1.40498i | 0.0659390i | ||||||||
\(455\) | 9.46685 | − | 7.86018i | 0.443813 | − | 0.368491i | ||||
\(456\) | −0.345586 | −0.0161836 | ||||||||
\(457\) | − | 10.9263i | − | 0.511109i | −0.966795 | − | 0.255554i | \(-0.917742\pi\) | ||
0.966795 | − | 0.255554i | \(-0.0822580\pi\) | |||||||
\(458\) | 50.1496 | 2.34334 | ||||||||
\(459\) | − | 0.659618i | − | 0.0307883i | ||||||
\(460\) | 14.4175i | 0.672219i | ||||||||
\(461\) | 37.6329 | 1.75274 | 0.876369 | − | 0.481641i | \(-0.159959\pi\) | ||||
0.876369 | + | 0.481641i | \(0.159959\pi\) | |||||||
\(462\) | −1.70585 | − | 21.0398i | −0.0793634 | − | 0.978862i | ||||
\(463\) | 25.5488 | 1.18736 | 0.593678 | − | 0.804703i | \(-0.297675\pi\) | ||||
0.593678 | + | 0.804703i | \(0.297675\pi\) | |||||||
\(464\) | 22.4136i | 1.04052i | ||||||||
\(465\) | 3.95104i | 0.183225i | ||||||||
\(466\) | −39.9819 | −1.85212 | ||||||||
\(467\) | − | 12.0398i | − | 0.557136i | −0.960417 | − | 0.278568i | \(-0.910140\pi\) | ||
0.960417 | − | 0.278568i | \(-0.0898597\pi\) | |||||||
\(468\) | −17.6114 | −0.814087 | ||||||||
\(469\) | −11.3342 | − | 13.6510i | −0.523365 | − | 0.630344i | ||||
\(470\) | 17.7537i | 0.818918i | ||||||||
\(471\) | −3.42988 | −0.158040 | ||||||||
\(472\) | −28.4946 | −1.31157 | ||||||||
\(473\) | −10.0254 | + | 14.2821i | −0.460968 | + | 0.656693i | ||||
\(474\) | − | 10.2013i | − | 0.468562i | ||||||
\(475\) | 0.0804002 | 0.00368901 | ||||||||
\(476\) | −4.22163 | − | 5.08456i | −0.193498 | − | 0.233050i | ||||
\(477\) | 3.67876 | 0.168439 | ||||||||
\(478\) | 11.8508 | 0.542045 | ||||||||
\(479\) | −22.2312 | −1.01577 | −0.507885 | − | 0.861425i | \(-0.669572\pi\) | ||||
−0.507885 | + | 0.861425i | \(0.669572\pi\) | |||||||
\(480\) | 1.94199i | 0.0886395i | ||||||||
\(481\) | 27.8832 | 1.27137 | ||||||||
\(482\) | − | 15.5169i | − | 0.706778i | ||||||
\(483\) | 7.75000 | − | 6.43471i | 0.352637 | − | 0.292789i | ||||
\(484\) | −14.1551 | − | 39.1761i | −0.643415 | − | 1.78073i | ||||
\(485\) | −4.04513 | −0.183680 | ||||||||
\(486\) | −2.40558 | −0.109119 | ||||||||
\(487\) | 6.53695 | 0.296217 | 0.148109 | − | 0.988971i | \(-0.452681\pi\) | ||||
0.148109 | + | 0.988971i | \(0.452681\pi\) | |||||||
\(488\) | − | 62.3387i | − | 2.82194i | ||||||
\(489\) | − | 18.0102i | − | 0.814447i | ||||||
\(490\) | 3.09622 | − | 16.5520i | 0.139873 | − | 0.747741i | ||||
\(491\) | − | 26.4467i | − | 1.19353i | −0.802418 | − | 0.596763i | \(-0.796453\pi\) | ||
0.802418 | − | 0.596763i | \(-0.203547\pi\) | |||||||
\(492\) | − | 16.6264i | − | 0.749576i | ||||||
\(493\) | 5.34437i | 0.240698i | ||||||||
\(494\) | 0.899489i | 0.0404699i | ||||||||
\(495\) | 1.90552 | − | 2.71459i | 0.0856467 | − | 0.122012i | ||||
\(496\) | − | 10.9300i | − | 0.490769i | ||||||
\(497\) | 25.0563 | + | 30.1780i | 1.12393 | + | 1.35367i | ||||
\(498\) | 5.65475 | 0.253395 | ||||||||
\(499\) | 35.9400 | 1.60890 | 0.804449 | − | 0.594022i | \(-0.202461\pi\) | ||||
0.804449 | + | 0.594022i | \(0.202461\pi\) | |||||||
\(500\) | 3.78682i | 0.169352i | ||||||||
\(501\) | 2.82747i | 0.126322i | ||||||||
\(502\) | −58.2173 | −2.59836 | ||||||||
\(503\) | 7.61141 | 0.339376 | 0.169688 | − | 0.985498i | \(-0.445724\pi\) | ||||
0.169688 | + | 0.985498i | \(0.445724\pi\) | |||||||
\(504\) | −8.74956 | + | 7.26462i | −0.389736 | + | 0.323592i | ||||
\(505\) | − | 7.77046i | − | 0.345781i | ||||||
\(506\) | 17.4521 | − | 24.8622i | 0.775842 | − | 1.10526i | ||||
\(507\) | 8.62910i | 0.383232i | ||||||||
\(508\) | − | 71.5471i | − | 3.17439i | ||||||
\(509\) | − | 8.34386i | − | 0.369835i | −0.982754 | − | 0.184917i | \(-0.940798\pi\) | ||
0.982754 | − | 0.184917i | \(-0.0592018\pi\) | |||||||
\(510\) | − | 1.58676i | − | 0.0702631i | ||||||
\(511\) | 11.3428 | + | 13.6614i | 0.501778 | + | 0.604344i | ||||
\(512\) | − | 29.1536i | − | 1.28842i | ||||||
\(513\) | 0.0804002i | 0.00354975i | ||||||||
\(514\) | 7.08878 | 0.312673 | ||||||||
\(515\) | −15.0740 | −0.664238 | ||||||||
\(516\) | 19.9234 | 0.877077 | ||||||||
\(517\) | 14.0631 | − | 20.0343i | 0.618497 | − | 0.881107i | ||||
\(518\) | 29.3582 | − | 24.3757i | 1.28993 | − | 1.07101i | ||||
\(519\) | − | 16.4879i | − | 0.723740i | ||||||
\(520\) | −19.9903 | −0.876632 | ||||||||
\(521\) | 4.12749i | 0.180828i | 0.995904 | + | 0.0904142i | \(0.0288191\pi\) | ||||
−0.995904 | + | 0.0904142i | \(0.971181\pi\) | |||||||
\(522\) | 19.4905 | 0.853078 | ||||||||
\(523\) | −40.4980 | −1.77085 | −0.885426 | − | 0.464780i | \(-0.846133\pi\) | ||||
−0.885426 | + | 0.464780i | \(0.846133\pi\) | |||||||
\(524\) | 32.7385 | 1.43019 | ||||||||
\(525\) | 2.03557 | − | 1.69010i | 0.0888396 | − | 0.0737622i | ||||
\(526\) | −39.3533 | −1.71589 | ||||||||
\(527\) | − | 2.60618i | − | 0.113527i | ||||||
\(528\) | −5.27132 | + | 7.50950i | −0.229405 | + | 0.326809i | ||||
\(529\) | −8.50457 | −0.369764 | ||||||||
\(530\) | 8.84954 | 0.384400 | ||||||||
\(531\) | 6.62923i | 0.287684i | ||||||||
\(532\) | 0.514570 | + | 0.619751i | 0.0223094 | + | 0.0268696i | ||||
\(533\) | −20.4194 | −0.884463 | ||||||||
\(534\) | 24.5089i | 1.06061i | ||||||||
\(535\) | 9.45278 | 0.408679 | ||||||||
\(536\) | 28.8256i | 1.24507i | ||||||||
\(537\) | 7.60126i | 0.328019i | ||||||||
\(538\) | 1.98406 | 0.0855387 | ||||||||
\(539\) | −16.6052 | + | 16.2256i | −0.715235 | + | 0.698884i | ||||
\(540\) | −3.78682 | −0.162959 | ||||||||
\(541\) | − | 11.9745i | − | 0.514826i | −0.966302 | − | 0.257413i | \(-0.917130\pi\) | ||
0.966302 | − | 0.257413i | \(-0.0828700\pi\) | |||||||
\(542\) | − | 33.1364i | − | 1.42333i | ||||||
\(543\) | −21.2622 | −0.912446 | ||||||||
\(544\) | − | 1.28097i | − | 0.0549213i | ||||||
\(545\) | −10.5884 | −0.453556 | ||||||||
\(546\) | 18.9083 | + | 22.7733i | 0.809200 | + | 0.974606i | ||||
\(547\) | 26.9299i | 1.15144i | 0.817648 | + | 0.575719i | \(0.195278\pi\) | ||||
−0.817648 | + | 0.575719i | \(0.804722\pi\) | |||||||
\(548\) | −54.4831 | −2.32740 | ||||||||
\(549\) | −14.5030 | −0.618973 | ||||||||
\(550\) | 4.58388 | − | 6.53017i | 0.195457 | − | 0.278447i | ||||
\(551\) | − | 0.651420i | − | 0.0277514i | ||||||
\(552\) | −16.3650 | −0.696540 | ||||||||
\(553\) | −8.63222 | + | 7.16720i | −0.367079 | + | 0.304780i | ||||
\(554\) | 8.67610 | 0.368612 | ||||||||
\(555\) | 5.99548 | 0.254494 | ||||||||
\(556\) | 63.9550 | 2.71230 | ||||||||
\(557\) | − | 7.84335i | − | 0.332333i | −0.986098 | − | 0.166167i | \(-0.946861\pi\) | ||
0.986098 | − | 0.166167i | \(-0.0531390\pi\) | |||||||
\(558\) | −9.50455 | −0.402360 | ||||||||
\(559\) | − | 24.4685i | − | 1.03491i | ||||||
\(560\) | −5.63109 | + | 4.67541i | −0.237957 | + | 0.197572i | ||||
\(561\) | −1.25691 | + | 1.79059i | −0.0530670 | + | 0.0755989i | ||||
\(562\) | −43.9194 | −1.85263 | ||||||||
\(563\) | −16.0986 | −0.678476 | −0.339238 | − | 0.940701i | \(-0.610169\pi\) | ||||
−0.339238 | + | 0.940701i | \(0.610169\pi\) | |||||||
\(564\) | −27.9476 | −1.17680 | ||||||||
\(565\) | − | 1.37754i | − | 0.0579535i | ||||||
\(566\) | 73.9089i | 3.10662i | ||||||||
\(567\) | 1.69010 | + | 2.03557i | 0.0709777 | + | 0.0854860i | ||||
\(568\) | − | 63.7242i | − | 2.67381i | ||||||
\(569\) | − | 46.6884i | − | 1.95728i | −0.205583 | − | 0.978640i | \(-0.565909\pi\) | ||
0.205583 | − | 0.978640i | \(-0.434091\pi\) | |||||||
\(570\) | 0.193409i | 0.00810101i | ||||||||
\(571\) | 33.0059i | 1.38125i | 0.723211 | + | 0.690627i | \(0.242665\pi\) | ||||
−0.723211 | + | 0.690627i | \(0.757335\pi\) | |||||||
\(572\) | 47.8077 | + | 33.5588i | 1.99894 | + | 1.40316i | ||||
\(573\) | 22.0784i | 0.922340i | ||||||||
\(574\) | −21.4996 | + | 17.8508i | −0.897376 | + | 0.745077i | ||||
\(575\) | 3.80729 | 0.158775 | ||||||||
\(576\) | −10.2043 | −0.425180 | ||||||||
\(577\) | − | 20.8844i | − | 0.869428i | −0.900569 | − | 0.434714i | \(-0.856850\pi\) | ||
0.900569 | − | 0.434714i | \(-0.143150\pi\) | |||||||
\(578\) | − | 39.8482i | − | 1.65747i | ||||||
\(579\) | 24.6257 | 1.02341 | ||||||||
\(580\) | 30.6816 | 1.27399 | ||||||||
\(581\) | −3.97289 | − | 4.78497i | −0.164823 | − | 0.198514i | ||||
\(582\) | − | 9.73088i | − | 0.403358i | ||||||
\(583\) | −9.98632 | − | 7.00994i | −0.413591 | − | 0.290322i | ||||
\(584\) | − | 28.8475i | − | 1.19372i | ||||||
\(585\) | 4.65071i | 0.192283i | ||||||||
\(586\) | 52.4301i | 2.16587i | ||||||||
\(587\) | − | 21.7160i | − | 0.896316i | −0.893954 | − | 0.448158i | \(-0.852080\pi\) | ||
0.893954 | − | 0.448158i | \(-0.147920\pi\) | |||||||
\(588\) | 26.0558 | + | 4.87401i | 1.07452 | + | 0.201001i | ||||
\(589\) | 0.317664i | 0.0130891i | ||||||||
\(590\) | 15.9472i | 0.656534i | ||||||||
\(591\) | −6.05578 | −0.249101 | ||||||||
\(592\) | −16.5856 | −0.681662 | ||||||||
\(593\) | 23.9547 | 0.983701 | 0.491851 | − | 0.870680i | \(-0.336321\pi\) | ||||
0.491851 | + | 0.870680i | \(0.336321\pi\) | |||||||
\(594\) | 6.53017 | + | 4.58388i | 0.267936 | + | 0.188079i | ||||
\(595\) | −1.34270 | + | 1.11482i | −0.0550453 | + | 0.0457033i | ||||
\(596\) | 3.17837i | 0.130191i | ||||||||
\(597\) | −15.1981 | −0.622017 | ||||||||
\(598\) | 42.5946i | 1.74182i | ||||||||
\(599\) | 32.8643 | 1.34280 | 0.671400 | − | 0.741095i | \(-0.265693\pi\) | ||||
0.671400 | + | 0.741095i | \(0.265693\pi\) | |||||||
\(600\) | −4.29833 | −0.175479 | ||||||||
\(601\) | 34.6261 | 1.41243 | 0.706214 | − | 0.707999i | \(-0.250402\pi\) | ||||
0.706214 | + | 0.707999i | \(0.250402\pi\) | |||||||
\(602\) | −21.3905 | − | 25.7629i | −0.871813 | − | 1.05002i | ||||
\(603\) | 6.70622 | 0.273098 | ||||||||
\(604\) | − | 30.0342i | − | 1.22208i | ||||||
\(605\) | −10.3454 | + | 3.73800i | −0.420600 | + | 0.151971i | ||||
\(606\) | 18.6925 | 0.759330 | ||||||||
\(607\) | −11.0252 | −0.447501 | −0.223751 | − | 0.974646i | \(-0.571830\pi\) | ||||
−0.223751 | + | 0.974646i | \(0.571830\pi\) | |||||||
\(608\) | 0.156137i | 0.00633218i | ||||||||
\(609\) | −13.6936 | − | 16.4927i | −0.554893 | − | 0.668316i | ||||
\(610\) | −34.8881 | −1.41258 | ||||||||
\(611\) | 34.3233i | 1.38857i | ||||||||
\(612\) | 2.49785 | 0.100970 | ||||||||
\(613\) | 22.0177i | 0.889287i | 0.895708 | + | 0.444644i | \(0.146670\pi\) | ||||
−0.895708 | + | 0.444644i | \(0.853330\pi\) | |||||||
\(614\) | 14.7668i | 0.595940i | ||||||||
\(615\) | −4.39060 | −0.177046 | ||||||||
\(616\) | 37.5943 | − | 3.04804i | 1.51472 | − | 0.122809i | ||||
\(617\) | 29.6726 | 1.19457 | 0.597286 | − | 0.802028i | \(-0.296246\pi\) | ||||
0.597286 | + | 0.802028i | \(0.296246\pi\) | |||||||
\(618\) | − | 36.2616i | − | 1.45866i | ||||||
\(619\) | − | 37.0099i | − | 1.48755i | −0.668429 | − | 0.743776i | \(-0.733033\pi\) | ||
0.668429 | − | 0.743776i | \(-0.266967\pi\) | |||||||
\(620\) | −14.9619 | −0.600883 | ||||||||
\(621\) | 3.80729i | 0.152781i | ||||||||
\(622\) | −3.60761 | −0.144652 | ||||||||
\(623\) | 20.7391 | − | 17.2194i | 0.830896 | − | 0.689881i | ||||
\(624\) | − | 12.8655i | − | 0.515031i | ||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −6.95433 | −0.277951 | ||||||||
\(627\) | 0.153204 | − | 0.218254i | 0.00611838 | − | 0.00871621i | ||||
\(628\) | − | 12.9883i | − | 0.518290i | ||||||
\(629\) | −3.95472 | −0.157685 | ||||||||
\(630\) | 4.06568 | + | 4.89673i | 0.161981 | + | 0.195090i | ||||
\(631\) | −7.62738 | −0.303641 | −0.151821 | − | 0.988408i | \(-0.548514\pi\) | ||||
−0.151821 | + | 0.988408i | \(0.548514\pi\) | |||||||
\(632\) | 18.2279 | 0.725066 | ||||||||
\(633\) | 10.3975 | 0.413265 | ||||||||
\(634\) | − | 44.9691i | − | 1.78595i | ||||||
\(635\) | −18.8937 | −0.749775 | ||||||||
\(636\) | 13.9308i | 0.552391i | ||||||||
\(637\) | 5.98593 | − | 31.9999i | 0.237171 | − | 1.26788i | ||||
\(638\) | −52.9089 | − | 37.1396i | −2.09468 | − | 1.47037i | ||||
\(639\) | −14.8253 | −0.586481 | ||||||||
\(640\) | −20.6633 | −0.816789 | ||||||||
\(641\) | −10.0894 | −0.398507 | −0.199254 | − | 0.979948i | \(-0.563852\pi\) | ||||
−0.199254 | + | 0.979948i | \(0.563852\pi\) | |||||||
\(642\) | 22.7394i | 0.897453i | ||||||||
\(643\) | 48.5452i | 1.91444i | 0.289365 | + | 0.957219i | \(0.406556\pi\) | ||||
−0.289365 | + | 0.957219i | \(0.593444\pi\) | |||||||
\(644\) | 24.3671 | + | 29.3478i | 0.960197 | + | 1.15647i | ||||
\(645\) | − | 5.26124i | − | 0.207161i | ||||||
\(646\) | − | 0.127576i | − | 0.00501942i | ||||||
\(647\) | − | 9.34167i | − | 0.367259i | −0.982996 | − | 0.183630i | \(-0.941215\pi\) | ||
0.982996 | − | 0.183630i | \(-0.0587847\pi\) | |||||||
\(648\) | − | 4.29833i | − | 0.168854i | ||||||
\(649\) | 12.6321 | − | 17.9957i | 0.495854 | − | 0.706391i | ||||
\(650\) | 11.1877i | 0.438816i | ||||||||
\(651\) | 6.67767 | + | 8.04263i | 0.261719 | + | 0.315215i | ||||
\(652\) | 68.2011 | 2.67096 | ||||||||
\(653\) | −4.49618 | −0.175949 | −0.0879745 | − | 0.996123i | \(-0.528039\pi\) | ||||
−0.0879745 | + | 0.996123i | \(0.528039\pi\) | |||||||
\(654\) | − | 25.4712i | − | 0.996001i | ||||||
\(655\) | − | 8.64539i | − | 0.337804i | ||||||
\(656\) | 12.1459 | 0.474219 | ||||||||
\(657\) | −6.71133 | −0.261834 | ||||||||
\(658\) | 30.0056 | + | 36.1390i | 1.16974 | + | 1.40884i | ||||
\(659\) | − | 17.1228i | − | 0.667012i | −0.942748 | − | 0.333506i | \(-0.891768\pi\) | ||
0.942748 | − | 0.333506i | \(-0.108232\pi\) | |||||||
\(660\) | 10.2797 | + | 7.21585i | 0.400135 | + | 0.280876i | ||||
\(661\) | − | 34.1063i | − | 1.32658i | −0.748361 | − | 0.663291i | \(-0.769159\pi\) | ||
0.748361 | − | 0.663291i | \(-0.230841\pi\) | |||||||
\(662\) | 12.8045i | 0.497662i | ||||||||
\(663\) | − | 3.06769i | − | 0.119139i | ||||||
\(664\) | 10.1040i | 0.392111i | ||||||||
\(665\) | 0.163660 | − | 0.135885i | 0.00634647 | − | 0.00526938i | ||||
\(666\) | 14.4226i | 0.558864i | ||||||||
\(667\) | − | 30.8475i | − | 1.19442i | ||||||
\(668\) | −10.7071 | −0.414271 | ||||||||
\(669\) | 21.4094 | 0.827735 | ||||||||
\(670\) | 16.1324 | 0.623247 | ||||||||
\(671\) | 39.3697 | + | 27.6357i | 1.51985 | + | 1.06687i | ||||
\(672\) | 3.28217 | + | 3.95307i | 0.126612 | + | 0.152493i | ||||
\(673\) | − | 33.8751i | − | 1.30579i | −0.757449 | − | 0.652894i | \(-0.773555\pi\) | ||
0.757449 | − | 0.652894i | \(-0.226445\pi\) | |||||||
\(674\) | 15.8028 | 0.608701 | ||||||||
\(675\) | 1.00000i | 0.0384900i | ||||||||
\(676\) | −32.6768 | −1.25680 | ||||||||
\(677\) | −21.7921 | −0.837540 | −0.418770 | − | 0.908092i | \(-0.637539\pi\) | ||||
−0.418770 | + | 0.908092i | \(0.637539\pi\) | |||||||
\(678\) | 3.31378 | 0.127265 | ||||||||
\(679\) | −8.23415 | + | 6.83669i | −0.315998 | + | 0.262368i | ||||
\(680\) | 2.83526 | 0.108727 | ||||||||
\(681\) | 0.584050i | 0.0223809i | ||||||||
\(682\) | 25.8010 | + | 18.1111i | 0.987970 | + | 0.693509i | ||||
\(683\) | −16.9983 | −0.650422 | −0.325211 | − | 0.945641i | \(-0.605435\pi\) | ||||
−0.325211 | + | 0.945641i | \(0.605435\pi\) | |||||||
\(684\) | −0.304461 | −0.0116413 | ||||||||
\(685\) | 14.3876i | 0.549721i | ||||||||
\(686\) | −21.6720 | − | 38.9256i | −0.827439 | − | 1.48619i | ||||
\(687\) | 20.8472 | 0.795370 | ||||||||
\(688\) | 14.5544i | 0.554882i | ||||||||
\(689\) | 17.1088 | 0.651794 | ||||||||
\(690\) | 9.15873i | 0.348667i | ||||||||
\(691\) | − | 5.11875i | − | 0.194727i | −0.995249 | − | 0.0973633i | \(-0.968959\pi\) | ||
0.995249 | − | 0.0973633i | \(-0.0310409\pi\) | |||||||
\(692\) | 62.4368 | 2.37349 | ||||||||
\(693\) | −0.709123 | − | 8.74626i | −0.0269373 | − | 0.332243i | ||||
\(694\) | −54.3709 | −2.06389 | ||||||||
\(695\) | − | 16.8889i | − | 0.640631i | ||||||
\(696\) | 34.8260i | 1.32008i | ||||||||
\(697\) | 2.89612 | 0.109698 | ||||||||
\(698\) | − | 19.8001i | − | 0.749444i | ||||||
\(699\) | −16.6205 | −0.628644 | ||||||||
\(700\) | 6.40011 | + | 7.70833i | 0.241902 | + | 0.291348i | ||||
\(701\) | − | 0.316921i | − | 0.0119700i | −0.999982 | − | 0.00598498i | \(-0.998095\pi\) | ||
0.999982 | − | 0.00598498i | \(-0.00190509\pi\) | |||||||
\(702\) | −11.1877 | −0.422251 | ||||||||
\(703\) | 0.482037 | 0.0181804 | ||||||||
\(704\) | 27.7005 | + | 19.4445i | 1.04400 | + | 0.732842i | ||||
\(705\) | 7.38022i | 0.277955i | ||||||||
\(706\) | 34.7173 | 1.30660 | ||||||||
\(707\) | −13.1329 | − | 15.8173i | −0.493913 | − | 0.594872i | ||||
\(708\) | −25.1037 | −0.943454 | ||||||||
\(709\) | 36.5464 | 1.37253 | 0.686264 | − | 0.727353i | \(-0.259250\pi\) | ||||
0.686264 | + | 0.727353i | \(0.259250\pi\) | |||||||
\(710\) | −35.6635 | −1.33843 | ||||||||
\(711\) | − | 4.24069i | − | 0.159038i | ||||||
\(712\) | −43.7930 | −1.64121 | ||||||||
\(713\) | 15.0428i | 0.563356i | ||||||||
\(714\) | −2.68180 | − | 3.22997i | −0.100364 | − | 0.120879i | ||||
\(715\) | 8.86201 | − | 12.6248i | 0.331420 | − | 0.472140i | ||||
\(716\) | −28.7846 | −1.07573 | ||||||||
\(717\) | 4.92640 | 0.183980 | ||||||||
\(718\) | 45.2472 | 1.68861 | ||||||||
\(719\) | − | 6.93939i | − | 0.258795i | −0.991593 | − | 0.129398i | \(-0.958696\pi\) | ||
0.991593 | − | 0.129398i | \(-0.0413044\pi\) | |||||||
\(720\) | − | 2.76635i | − | 0.103096i | ||||||
\(721\) | −30.6841 | + | 25.4766i | −1.14274 | + | 0.948797i | ||||
\(722\) | − | 45.6905i | − | 1.70042i | ||||||
\(723\) | − | 6.45040i | − | 0.239893i | ||||||
\(724\) | − | 80.5159i | − | 2.99235i | ||||||
\(725\) | − | 8.10222i | − | 0.300909i | ||||||
\(726\) | −8.99207 | − | 24.8867i | −0.333727 | − | 0.923632i | ||||
\(727\) | − | 32.0737i | − | 1.18955i | −0.803892 | − | 0.594775i | \(-0.797241\pi\) | ||
0.803892 | − | 0.594775i | \(-0.202759\pi\) | |||||||
\(728\) | −40.6917 | + | 33.7857i | −1.50813 | + | 1.25218i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −16.1446 | −0.597540 | ||||||||
\(731\) | 3.47041i | 0.128358i | ||||||||
\(732\) | − | 54.9202i | − | 2.02991i | ||||||
\(733\) | 51.0892 | 1.88702 | 0.943511 | − | 0.331342i | \(-0.107501\pi\) | ||||
0.943511 | + | 0.331342i | \(0.107501\pi\) | |||||||
\(734\) | −86.1561 | −3.18008 | ||||||||
\(735\) | 1.28710 | − | 6.88065i | 0.0474754 | − | 0.253797i | ||||
\(736\) | 7.39373i | 0.272536i | ||||||||
\(737\) | −18.2046 | − | 12.7788i | −0.670577 | − | 0.470714i | ||||
\(738\) | − | 10.5619i | − | 0.388791i | ||||||
\(739\) | − | 9.39146i | − | 0.345470i | −0.984968 | − | 0.172735i | \(-0.944740\pi\) | ||
0.984968 | − | 0.172735i | \(-0.0552605\pi\) | |||||||
\(740\) | 22.7038i | 0.834607i | ||||||||
\(741\) | 0.373918i | 0.0137362i | ||||||||
\(742\) | 18.0139 | − | 14.9566i | 0.661310 | − | 0.549076i | ||||
\(743\) | 2.96558i | 0.108797i | 0.998519 | + | 0.0543983i | \(0.0173241\pi\) | ||||
−0.998519 | + | 0.0543983i | \(0.982676\pi\) | |||||||
\(744\) | − | 16.9829i | − | 0.622623i | ||||||
\(745\) | 0.839325 | 0.0307505 | ||||||||
\(746\) | 31.2749 | 1.14506 | ||||||||
\(747\) | 2.35068 | 0.0860068 | ||||||||
\(748\) | −6.78065 | − | 4.75970i | −0.247925 | − | 0.174032i | ||||
\(749\) | 19.2418 | − | 15.9762i | 0.703080 | − | 0.583757i | ||||
\(750\) | 2.40558i | 0.0878394i | ||||||||
\(751\) | −43.9272 | −1.60293 | −0.801463 | − | 0.598045i | \(-0.795945\pi\) | ||||
−0.801463 | + | 0.598045i | \(0.795945\pi\) | |||||||
\(752\) | − | 20.4163i | − | 0.744504i | ||||||
\(753\) | −24.2009 | −0.881931 | ||||||||
\(754\) | 90.6449 | 3.30109 | ||||||||
\(755\) | −7.93126 | −0.288648 | ||||||||
\(756\) | −7.70833 | + | 6.40011i | −0.280349 | + | 0.232770i | ||||
\(757\) | 35.6098 | 1.29426 | 0.647129 | − | 0.762380i | \(-0.275969\pi\) | ||||
0.647129 | + | 0.762380i | \(0.275969\pi\) | |||||||
\(758\) | 37.8033i | 1.37308i | ||||||||
\(759\) | 7.25485 | − | 10.3352i | 0.263334 | − | 0.375145i | ||||
\(760\) | −0.345586 | −0.0125357 | ||||||||
\(761\) | 41.3593 | 1.49927 | 0.749637 | − | 0.661849i | \(-0.230228\pi\) | ||||
0.749637 | + | 0.661849i | \(0.230228\pi\) | |||||||
\(762\) | − | 45.4504i | − | 1.64649i | ||||||
\(763\) | −21.5534 | + | 17.8954i | −0.780284 | + | 0.647858i | ||||
\(764\) | −83.6070 | −3.02479 | ||||||||
\(765\) | − | 0.659618i | − | 0.0238485i | ||||||
\(766\) | −46.7930 | −1.69070 | ||||||||
\(767\) | 30.8306i | 1.11323i | ||||||||
\(768\) | − | 29.2986i | − | 1.05722i | ||||||
\(769\) | −24.9503 | −0.899731 | −0.449866 | − | 0.893096i | \(-0.648528\pi\) | ||||
−0.449866 | + | 0.893096i | \(0.648528\pi\) | |||||||
\(770\) | −1.70585 | − | 21.0398i | −0.0614746 | − | 0.758223i | ||||
\(771\) | 2.94681 | 0.106127 | ||||||||
\(772\) | 93.2529i | 3.35624i | ||||||||
\(773\) | 17.7957i | 0.640067i | 0.947406 | + | 0.320033i | \(0.103694\pi\) | ||||
−0.947406 | + | 0.320033i | \(0.896306\pi\) | |||||||
\(774\) | 12.6563 | 0.454923 | ||||||||
\(775\) | 3.95104i | 0.141926i | ||||||||
\(776\) | 17.3873 | 0.624168 | ||||||||
\(777\) | 12.2042 | − | 10.1330i | 0.437824 | − | 0.363518i | ||||
\(778\) | 68.9779i | 2.47298i | ||||||||
\(779\) | −0.353005 | −0.0126477 | ||||||||
\(780\) | −17.6114 | −0.630589 | ||||||||
\(781\) | 40.2447 | + | 28.2499i | 1.44007 | + | 1.01086i | ||||
\(782\) | − | 6.04127i | − | 0.216035i | ||||||
\(783\) | 8.10222 | 0.289550 | ||||||||
\(784\) | −3.56056 | + | 19.0343i | −0.127163 | + | 0.679795i | ||||
\(785\) | −3.42988 | −0.122418 | ||||||||
\(786\) | 20.7972 | 0.741811 | ||||||||
\(787\) | 16.0252 | 0.571238 | 0.285619 | − | 0.958343i | \(-0.407801\pi\) | ||||
0.285619 | + | 0.958343i | \(0.407801\pi\) | |||||||
\(788\) | − | 22.9321i | − | 0.816923i | ||||||
\(789\) | −16.3592 | −0.582402 | ||||||||
\(790\) | − | 10.2013i | − | 0.362946i | ||||||
\(791\) | −2.32818 | − | 2.80408i | −0.0827807 | − | 0.0997016i | ||||
\(792\) | −8.19054 | + | 11.6682i | −0.291038 | + | 0.414612i | ||||
\(793\) | −67.4492 | −2.39519 | ||||||||
\(794\) | −47.0965 | −1.67139 | ||||||||
\(795\) | 3.67876 | 0.130472 | ||||||||
\(796\) | − | 57.5525i | − | 2.03989i | ||||||
\(797\) | 14.2424i | 0.504492i | 0.967663 | + | 0.252246i | \(0.0811692\pi\) | ||||
−0.967663 | + | 0.252246i | \(0.918831\pi\) | |||||||
\(798\) | 0.326881 | + | 0.393698i | 0.0115715 | + | 0.0139368i | ||||
\(799\) | − | 4.86813i | − | 0.172222i | ||||||
\(800\) | 1.94199i | 0.0686598i | ||||||||
\(801\) | 10.1884i | 0.359988i | ||||||||
\(802\) | − | 8.63252i | − | 0.304825i | ||||||
\(803\) | 18.2185 | + | 12.7886i | 0.642917 | + | 0.451298i | ||||
\(804\) | 25.3952i | 0.895621i | ||||||||
\(805\) | 7.75000 | − | 6.43471i | 0.273152 | − | 0.226794i | ||||
\(806\) | −44.2029 | −1.55698 | ||||||||
\(807\) | 0.824772 | 0.0290333 | ||||||||
\(808\) | 33.4000i | 1.17501i | ||||||||
\(809\) | 0.838625i | 0.0294845i | 0.999891 | + | 0.0147422i | \(0.00469277\pi\) | ||||
−0.999891 | + | 0.0147422i | \(0.995307\pi\) | |||||||
\(810\) | −2.40558 | −0.0845235 | ||||||||
\(811\) | −5.78255 | −0.203053 | −0.101526 | − | 0.994833i | \(-0.532373\pi\) | ||||
−0.101526 | + | 0.994833i | \(0.532373\pi\) | |||||||
\(812\) | 62.4546 | − | 51.8551i | 2.19173 | − | 1.81976i | ||||
\(813\) | − | 13.7748i | − | 0.483104i | ||||||
\(814\) | 27.4825 | − | 39.1514i | 0.963262 | − | 1.37226i | ||||
\(815\) | − | 18.0102i | − | 0.630868i | ||||||
\(816\) | 1.82473i | 0.0638784i | ||||||||
\(817\) | − | 0.423005i | − | 0.0147991i | ||||||
\(818\) | − | 34.0578i | − | 1.19080i | ||||||
\(819\) | 7.86018 | + | 9.46685i | 0.274657 | + | 0.330799i | ||||
\(820\) | − | 16.6264i | − | 0.580619i | ||||||
\(821\) | 39.3175i | 1.37219i | 0.727512 | + | 0.686095i | \(0.240677\pi\) | ||||
−0.727512 | + | 0.686095i | \(0.759323\pi\) | |||||||
\(822\) | −34.6104 | −1.20718 | ||||||||
\(823\) | 45.1536 | 1.57396 | 0.786978 | − | 0.616981i | \(-0.211645\pi\) | ||||
0.786978 | + | 0.616981i | \(0.211645\pi\) | |||||||
\(824\) | 64.7929 | 2.25717 | ||||||||
\(825\) | 1.90552 | − | 2.71459i | 0.0663416 | − | 0.0945099i | ||||
\(826\) | 26.9523 | + | 32.4616i | 0.937792 | + | 1.12948i | ||||
\(827\) | − | 18.3881i | − | 0.639417i | −0.947516 | − | 0.319709i | \(-0.896415\pi\) | ||
0.947516 | − | 0.319709i | \(-0.103585\pi\) | |||||||
\(828\) | −14.4175 | −0.501043 | ||||||||
\(829\) | − | 28.0628i | − | 0.974662i | −0.873217 | − | 0.487331i | \(-0.837971\pi\) | ||
0.873217 | − | 0.487331i | \(-0.162029\pi\) | |||||||
\(830\) | 5.65475 | 0.196279 | ||||||||
\(831\) | 3.60665 | 0.125113 | ||||||||
\(832\) | −47.4573 | −1.64529 | ||||||||
\(833\) | −0.848994 | + | 4.53860i | −0.0294159 | + | 0.157253i | ||||
\(834\) | 40.6275 | 1.40682 | ||||||||
\(835\) | 2.82747i | 0.0978488i | ||||||||
\(836\) | 0.826486 | + | 0.580155i | 0.0285846 | + | 0.0200651i | ||||
\(837\) | −3.95104 | −0.136568 | ||||||||
\(838\) | −42.7658 | −1.47732 | ||||||||
\(839\) | − | 20.0231i | − | 0.691273i | −0.938368 | − | 0.345637i | \(-0.887663\pi\) | ||
0.938368 | − | 0.345637i | \(-0.112337\pi\) | |||||||
\(840\) | −8.74956 | + | 7.26462i | −0.301888 | + | 0.250653i | ||||
\(841\) | −36.6460 | −1.26366 | ||||||||
\(842\) | − | 5.59448i | − | 0.192799i | ||||||
\(843\) | −18.2573 | −0.628815 | ||||||||
\(844\) | 39.3735i | 1.35529i | ||||||||
\(845\) | 8.62910i | 0.296850i | ||||||||
\(846\) | −17.7537 | −0.610386 | ||||||||
\(847\) | −14.7412 | + | 25.0938i | −0.506513 | + | 0.862232i | ||||
\(848\) | −10.1767 | −0.349470 | ||||||||
\(849\) | 30.7240i | 1.05444i | ||||||||
\(850\) | − | 1.58676i | − | 0.0544256i | ||||||
\(851\) | 22.8265 | 0.782482 | ||||||||
\(852\) | − | 56.1408i | − | 1.92335i | ||||||
\(853\) | −46.8512 | −1.60416 | −0.802078 | − | 0.597219i | \(-0.796272\pi\) | ||||
−0.802078 | + | 0.597219i | \(0.796272\pi\) | |||||||
\(854\) | −71.0173 | + | 58.9645i | −2.43016 | + | 2.01773i | ||||
\(855\) | 0.0804002i | 0.00274963i | ||||||||
\(856\) | −40.6312 | −1.38874 | ||||||||
\(857\) | −15.5901 | −0.532546 | −0.266273 | − | 0.963898i | \(-0.585792\pi\) | ||||
−0.266273 | + | 0.963898i | \(0.585792\pi\) | |||||||
\(858\) | 30.3699 | + | 21.3183i | 1.03681 | + | 0.727794i | ||||
\(859\) | 3.90336i | 0.133181i | 0.997780 | + | 0.0665904i | \(0.0212121\pi\) | ||||
−0.997780 | + | 0.0665904i | \(0.978788\pi\) | |||||||
\(860\) | 19.9234 | 0.679381 | ||||||||
\(861\) | −8.93738 | + | 7.42057i | −0.304585 | + | 0.252892i | ||||
\(862\) | −76.9905 | −2.62231 | ||||||||
\(863\) | 27.1263 | 0.923389 | 0.461695 | − | 0.887039i | \(-0.347242\pi\) | ||||
0.461695 | + | 0.887039i | \(0.347242\pi\) | |||||||
\(864\) | −1.94199 | −0.0660680 | ||||||||
\(865\) | − | 16.4879i | − | 0.560607i | ||||||
\(866\) | −64.2075 | −2.18186 | ||||||||
\(867\) | − | 16.5649i | − | 0.562574i | ||||||
\(868\) | −30.4560 | + | 25.2871i | −1.03374 | + | 0.858301i | ||||
\(869\) | −8.08070 | + | 11.5117i | −0.274119 | + | 0.390509i | ||||
\(870\) | 19.4905 | 0.660791 | ||||||||
\(871\) | 31.1887 | 1.05679 | ||||||||
\(872\) | 45.5123 | 1.54124 | ||||||||
\(873\) | − | 4.04513i | − | 0.136907i | ||||||
\(874\) | 0.736364i | 0.0249079i | ||||||||
\(875\) | 2.03557 | − | 1.69010i | 0.0688149 | − | 0.0571359i | ||||
\(876\) | − | 25.4146i | − | 0.858679i | ||||||
\(877\) | 4.59538i | 0.155175i | 0.996986 | + | 0.0775874i | \(0.0247217\pi\) | ||||
−0.996986 | + | 0.0775874i | \(0.975278\pi\) | |||||||
\(878\) | 21.2610i | 0.717522i | ||||||||
\(879\) | 21.7952i | 0.735134i | ||||||||
\(880\) | −5.27132 | + | 7.50950i | −0.177696 | + | 0.253145i | ||||
\(881\) | − | 50.5936i | − | 1.70454i | −0.523101 | − | 0.852271i | \(-0.675225\pi\) | ||
0.523101 | − | 0.852271i | \(-0.324775\pi\) | |||||||
\(882\) | 16.5520 | + | 3.09622i | 0.557334 | + | 0.104255i | ||||
\(883\) | −36.5104 | −1.22867 | −0.614337 | − | 0.789044i | \(-0.710576\pi\) | ||||
−0.614337 | + | 0.789044i | \(0.710576\pi\) | |||||||
\(884\) | 11.6168 | 0.390715 | ||||||||
\(885\) | 6.62923i | 0.222839i | ||||||||
\(886\) | 74.5911i | 2.50594i | ||||||||
\(887\) | −58.3614 | −1.95959 | −0.979793 | − | 0.200016i | \(-0.935901\pi\) | ||||
−0.979793 | + | 0.200016i | \(0.935901\pi\) | |||||||
\(888\) | −25.7705 | −0.864803 | ||||||||
\(889\) | −38.4595 | + | 31.9324i | −1.28989 | + | 1.07098i | ||||
\(890\) | 24.5089i | 0.821541i | ||||||||
\(891\) | 2.71459 | + | 1.90552i | 0.0909422 | + | 0.0638372i | ||||
\(892\) | 81.0735i | 2.71454i | ||||||||
\(893\) | 0.593371i | 0.0198564i | ||||||||
\(894\) | 2.01906i | 0.0675276i | ||||||||
\(895\) | 7.60126i | 0.254082i | ||||||||
\(896\) | −42.0616 | + | 34.9231i | −1.40518 | + | 1.16670i | ||||
\(897\) | 17.7066i | 0.591206i | ||||||||
\(898\) | 93.9208i | 3.13418i | ||||||||
\(899\) | 32.0122 | 1.06767 | ||||||||
\(900\) | −3.78682 | −0.126227 | ||||||||
\(901\) | −2.42657 | −0.0808409 | ||||||||
\(902\) | −20.1260 | + | 28.6714i | −0.670122 | + | 0.954652i | ||||
\(903\) | −8.89205 | − | 10.7096i | −0.295909 | − | 0.356394i | ||||
\(904\) | 5.92112i | 0.196934i | ||||||||
\(905\) | −21.2622 | −0.706778 | ||||||||
\(906\) | − | 19.0793i | − | 0.633867i | ||||||
\(907\) | −34.8835 | −1.15829 | −0.579144 | − | 0.815226i | \(-0.696613\pi\) | ||||
−0.579144 | + | 0.815226i | \(0.696613\pi\) | |||||||
\(908\) | −2.21169 | −0.0733976 | ||||||||
\(909\) | 7.77046 | 0.257730 | ||||||||
\(910\) | 18.9083 | + | 22.7733i | 0.626804 | + | 0.754927i | ||||
\(911\) | 39.9696 | 1.32425 | 0.662126 | − | 0.749393i | \(-0.269655\pi\) | ||||
0.662126 | + | 0.749393i | \(0.269655\pi\) | |||||||
\(912\) | − | 0.222415i | − | 0.00736489i | ||||||
\(913\) | −6.38113 | − | 4.47926i | −0.211185 | − | 0.148242i | ||||
\(914\) | 26.2840 | 0.869397 | ||||||||
\(915\) | −14.5030 | −0.479454 | ||||||||
\(916\) | 78.9445i | 2.60840i | ||||||||
\(917\) | −14.6116 | − | 17.5983i | −0.482518 | − | 0.581148i | ||||
\(918\) | 1.58676 | 0.0523710 | ||||||||
\(919\) | 28.2546i | 0.932033i | 0.884776 | + | 0.466017i | \(0.154311\pi\) | ||||
−0.884776 | + | 0.466017i | \(0.845689\pi\) | |||||||
\(920\) | −16.3650 | −0.539537 | ||||||||
\(921\) | 6.13857i | 0.202273i | ||||||||
\(922\) | 90.5289i | 2.98141i | ||||||||
\(923\) | −68.9483 | −2.26946 | ||||||||
\(924\) | 33.1205 | − | 2.68532i | 1.08958 | − | 0.0883405i | ||||
\(925\) | 5.99548 | 0.197130 | ||||||||
\(926\) | 61.4598i | 2.01969i | ||||||||
\(927\) | − | 15.0740i | − | 0.495094i | ||||||
\(928\) | 15.7345 | 0.516509 | ||||||||
\(929\) | − | 20.0919i | − | 0.659193i | −0.944122 | − | 0.329596i | \(-0.893087\pi\) | ||
0.944122 | − | 0.329596i | \(-0.106913\pi\) | |||||||
\(930\) | −9.50455 | −0.311666 | ||||||||
\(931\) | 0.103483 | − | 0.553206i | 0.00339152 | − | 0.0181306i | ||||
\(932\) | − | 62.9387i | − | 2.06162i | ||||||
\(933\) | −1.49969 | −0.0490975 | ||||||||
\(934\) | 28.9627 | 0.947689 | ||||||||
\(935\) | −1.25691 | + | 1.79059i | −0.0411055 | + | 0.0585587i | ||||
\(936\) | − | 19.9903i | − | 0.653403i | ||||||
\(937\) | 33.5978 | 1.09759 | 0.548796 | − | 0.835956i | \(-0.315086\pi\) | ||||
0.548796 | + | 0.835956i | \(0.315086\pi\) | |||||||
\(938\) | 32.8386 | − | 27.2653i | 1.07222 | − | 0.890245i | ||||
\(939\) | −2.89092 | −0.0943415 | ||||||||
\(940\) | −27.9476 | −0.911549 | ||||||||
\(941\) | 23.0918 | 0.752773 | 0.376386 | − | 0.926463i | \(-0.377167\pi\) | ||||
0.376386 | + | 0.926463i | \(0.377167\pi\) | |||||||
\(942\) | − | 8.25084i | − | 0.268827i | ||||||
\(943\) | −16.7163 | −0.544357 | ||||||||
\(944\) | − | 18.3388i | − | 0.596876i | ||||||
\(945\) | 1.69010 | + | 2.03557i | 0.0549791 | + | 0.0662171i | ||||
\(946\) | −34.3568 | − | 24.1169i | −1.11704 | − | 0.784108i | ||||
\(947\) | −56.6272 | −1.84014 | −0.920069 | − | 0.391757i | \(-0.871867\pi\) | ||||
−0.920069 | + | 0.391757i | \(0.871867\pi\) | |||||||
\(948\) | 16.0587 | 0.521562 | ||||||||
\(949\) | −31.2125 | −1.01320 | ||||||||
\(950\) | 0.193409i | 0.00627502i | ||||||||
\(951\) | − | 18.6937i | − | 0.606184i | ||||||
\(952\) | 5.77137 | − | 4.79188i | 0.187051 | − | 0.155306i | ||||
\(953\) | − | 36.0915i | − | 1.16912i | −0.811351 | − | 0.584559i | \(-0.801268\pi\) | ||
0.811351 | − | 0.584559i | \(-0.198732\pi\) | |||||||
\(954\) | 8.84954i | 0.286515i | ||||||||
\(955\) | 22.0784i | 0.714441i | ||||||||
\(956\) | 18.6554i | 0.603357i | ||||||||
\(957\) | −21.9942 | − | 15.4389i | −0.710972 | − | 0.499070i | ||||
\(958\) | − | 53.4790i | − | 1.72783i | ||||||
\(959\) | 24.3165 | + | 29.2869i | 0.785220 | + | 0.945724i | ||||
\(960\) | −10.2043 | −0.329343 | ||||||||
\(961\) | 15.3893 | 0.496428 | ||||||||
\(962\) | 67.0753i | 2.16259i | ||||||||
\(963\) | 9.45278i | 0.304611i | ||||||||
\(964\) | 24.4265 | 0.786724 | ||||||||
\(965\) | 24.6257 | 0.792728 | ||||||||
\(966\) | 15.4792 | + | 18.6433i | 0.498035 | + | 0.599837i | ||||
\(967\) | − | 13.7868i | − | 0.443354i | −0.975120 | − | 0.221677i | \(-0.928847\pi\) | ||
0.975120 | − | 0.221677i | \(-0.0711531\pi\) | |||||||
\(968\) | 44.4680 | − | 16.0672i | 1.42925 | − | 0.516419i | ||||
\(969\) | − | 0.0530334i | − | 0.00170368i | ||||||
\(970\) | − | 9.73088i | − | 0.312440i | ||||||
\(971\) | − | 10.9905i | − | 0.352701i | −0.984327 | − | 0.176350i | \(-0.943571\pi\) | ||
0.984327 | − | 0.176350i | \(-0.0564291\pi\) | |||||||
\(972\) | − | 3.78682i | − | 0.121462i | ||||||
\(973\) | −28.5439 | − | 34.3785i | −0.915076 | − | 1.10212i | ||||
\(974\) | 15.7251i | 0.503866i | ||||||||
\(975\) | 4.65071i | 0.148942i | ||||||||
\(976\) | 40.1203 | 1.28422 | ||||||||
\(977\) | 50.3300 | 1.61020 | 0.805100 | − | 0.593139i | \(-0.202112\pi\) | ||||
0.805100 | + | 0.593139i | \(0.202112\pi\) | |||||||
\(978\) | 43.3249 | 1.38538 | ||||||||
\(979\) | 19.4141 | − | 27.6572i | 0.620478 | − | 0.883929i | ||||
\(980\) | 26.0558 | + | 4.87401i | 0.832321 | + | 0.155695i | ||||
\(981\) | − | 10.5884i | − | 0.338060i | ||||||
\(982\) | 63.6198 | 2.03019 | ||||||||
\(983\) | 9.53413i | 0.304092i | 0.988373 | + | 0.152046i | \(0.0485861\pi\) | ||||
−0.988373 | + | 0.152046i | \(0.951414\pi\) | |||||||
\(984\) | 18.8723 | 0.601626 | ||||||||
\(985\) | −6.05578 | −0.192953 | ||||||||
\(986\) | −12.8563 | −0.409429 | ||||||||
\(987\) | 12.4733 | + | 15.0230i | 0.397031 | + | 0.478186i | ||||
\(988\) | −1.41596 | −0.0450476 | ||||||||
\(989\) | − | 20.0311i | − | 0.636951i | ||||||
\(990\) | 6.53017 | + | 4.58388i | 0.207542 | + | 0.145685i | ||||
\(991\) | −2.48229 | −0.0788525 | −0.0394262 | − | 0.999222i | \(-0.512553\pi\) | ||||
−0.0394262 | + | 0.999222i | \(0.512553\pi\) | |||||||
\(992\) | −7.67290 | −0.243615 | ||||||||
\(993\) | 5.32284i | 0.168915i | ||||||||
\(994\) | −72.5956 | + | 60.2750i | −2.30259 | + | 1.91181i | ||||
\(995\) | −15.1981 | −0.481813 | ||||||||
\(996\) | 8.90159i | 0.282058i | ||||||||
\(997\) | 5.32148 | 0.168533 | 0.0842664 | − | 0.996443i | \(-0.473145\pi\) | ||||
0.0842664 | + | 0.996443i | \(0.473145\pi\) | |||||||
\(998\) | 86.4566i | 2.73674i | ||||||||
\(999\) | 5.99548i | 0.189688i |
(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.76.6 | yes | 32 | |
7.6 | odd | 2 | inner | 1155.2.i.d.76.28 | yes | 32 | |
11.10 | odd | 2 | inner | 1155.2.i.d.76.27 | yes | 32 | |
77.76 | even | 2 | inner | 1155.2.i.d.76.5 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.i.d.76.5 | ✓ | 32 | 77.76 | even | 2 | inner | |
1155.2.i.d.76.6 | yes | 32 | 1.1 | even | 1 | trivial | |
1155.2.i.d.76.27 | yes | 32 | 11.10 | odd | 2 | inner | |
1155.2.i.d.76.28 | yes | 32 | 7.6 | odd | 2 | inner |