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 | 76.11 | ||
Character | \(\chi\) | \(=\) | 1155.76 |
Dual form | 1155.2.i.d.76.12 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.29033i | − | 0.912401i | −0.889877 | − | 0.456200i | \(-0.849210\pi\) | ||
0.889877 | − | 0.456200i | \(-0.150790\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.335051 | 0.167525 | ||||||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | −1.29033 | −0.526775 | ||||||||
\(7\) | 2.23077 | + | 1.42256i | 0.843151 | + | 0.537676i | ||||
\(8\) | − | 3.01298i | − | 1.06525i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.29033 | −0.408038 | ||||||||
\(11\) | 0.810680 | + | 3.21602i | 0.244429 | + | 0.969667i | ||||
\(12\) | − | 0.335051i | − | 0.0967208i | ||||||
\(13\) | 3.24076 | 0.898825 | 0.449412 | − | 0.893324i | \(-0.351633\pi\) | ||||
0.449412 | + | 0.893324i | \(0.351633\pi\) | |||||||
\(14\) | 1.83557 | − | 2.87843i | 0.490576 | − | 0.769292i | ||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | −3.21764 | −0.804410 | ||||||||
\(17\) | 7.53431 | 1.82734 | 0.913669 | − | 0.406458i | \(-0.133236\pi\) | ||||
0.913669 | + | 0.406458i | \(0.133236\pi\) | |||||||
\(18\) | 1.29033i | 0.304134i | ||||||||
\(19\) | 2.10854 | 0.483732 | 0.241866 | − | 0.970310i | \(-0.422241\pi\) | ||||
0.241866 | + | 0.970310i | \(0.422241\pi\) | |||||||
\(20\) | − | 0.335051i | − | 0.0749196i | ||||||
\(21\) | 1.42256 | − | 2.23077i | 0.310428 | − | 0.486794i | ||||
\(22\) | 4.14973 | − | 1.04604i | 0.884725 | − | 0.223017i | ||||
\(23\) | −1.54754 | −0.322684 | −0.161342 | − | 0.986899i | \(-0.551582\pi\) | ||||
−0.161342 | + | 0.986899i | \(0.551582\pi\) | |||||||
\(24\) | −3.01298 | −0.615023 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 4.18165i | − | 0.820088i | ||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.747420 | + | 0.476629i | 0.141249 | + | 0.0900743i | ||||
\(29\) | − | 7.87403i | − | 1.46217i | −0.682286 | − | 0.731085i | \(-0.739014\pi\) | ||
0.682286 | − | 0.731085i | \(-0.260986\pi\) | |||||||
\(30\) | 1.29033i | 0.235581i | ||||||||
\(31\) | 2.42925i | 0.436305i | 0.975915 | + | 0.218153i | \(0.0700031\pi\) | ||||
−0.975915 | + | 0.218153i | \(0.929997\pi\) | |||||||
\(32\) | − | 1.87415i | − | 0.331307i | ||||||
\(33\) | 3.21602 | − | 0.810680i | 0.559838 | − | 0.141121i | ||||
\(34\) | − | 9.72174i | − | 1.66726i | ||||||
\(35\) | 1.42256 | − | 2.23077i | 0.240456 | − | 0.377069i | ||||
\(36\) | −0.335051 | −0.0558418 | ||||||||
\(37\) | −8.46051 | −1.39090 | −0.695450 | − | 0.718575i | \(-0.744795\pi\) | ||||
−0.695450 | + | 0.718575i | \(0.744795\pi\) | |||||||
\(38\) | − | 2.72071i | − | 0.441357i | ||||||
\(39\) | − | 3.24076i | − | 0.518937i | ||||||
\(40\) | −3.01298 | −0.476395 | ||||||||
\(41\) | −6.82769 | −1.06631 | −0.533153 | − | 0.846019i | \(-0.678993\pi\) | ||||
−0.533153 | + | 0.846019i | \(0.678993\pi\) | |||||||
\(42\) | −2.87843 | − | 1.83557i | −0.444151 | − | 0.283234i | ||||
\(43\) | 8.43887i | 1.28692i | 0.765481 | + | 0.643458i | \(0.222501\pi\) | ||||
−0.765481 | + | 0.643458i | \(0.777499\pi\) | |||||||
\(44\) | 0.271619 | + | 1.07753i | 0.0409481 | + | 0.162444i | ||||
\(45\) | 1.00000i | 0.149071i | ||||||||
\(46\) | 1.99683i | 0.294417i | ||||||||
\(47\) | 2.05061i | 0.299112i | 0.988753 | + | 0.149556i | \(0.0477844\pi\) | ||||
−0.988753 | + | 0.149556i | \(0.952216\pi\) | |||||||
\(48\) | 3.21764i | 0.464426i | ||||||||
\(49\) | 2.95266 | + | 6.34679i | 0.421809 | + | 0.906685i | ||||
\(50\) | 1.29033i | 0.182480i | ||||||||
\(51\) | − | 7.53431i | − | 1.05501i | ||||||
\(52\) | 1.08582 | 0.150576 | ||||||||
\(53\) | 11.0999 | 1.52469 | 0.762344 | − | 0.647172i | \(-0.224048\pi\) | ||||
0.762344 | + | 0.647172i | \(0.224048\pi\) | |||||||
\(54\) | 1.29033 | 0.175592 | ||||||||
\(55\) | 3.21602 | − | 0.810680i | 0.433648 | − | 0.109312i | ||||
\(56\) | 4.28614 | − | 6.72127i | 0.572760 | − | 0.898168i | ||||
\(57\) | − | 2.10854i | − | 0.279283i | ||||||
\(58\) | −10.1601 | −1.33408 | ||||||||
\(59\) | − | 9.43543i | − | 1.22839i | −0.789155 | − | 0.614194i | \(-0.789481\pi\) | ||
0.789155 | − | 0.614194i | \(-0.210519\pi\) | |||||||
\(60\) | −0.335051 | −0.0432548 | ||||||||
\(61\) | 8.80831 | 1.12779 | 0.563894 | − | 0.825847i | \(-0.309303\pi\) | ||||
0.563894 | + | 0.825847i | \(0.309303\pi\) | |||||||
\(62\) | 3.13453 | 0.398085 | ||||||||
\(63\) | −2.23077 | − | 1.42256i | −0.281050 | − | 0.179225i | ||||
\(64\) | −8.85355 | −1.10669 | ||||||||
\(65\) | − | 3.24076i | − | 0.401967i | ||||||
\(66\) | −1.04604 | − | 4.14973i | −0.128759 | − | 0.510796i | ||||
\(67\) | −11.0082 | −1.34487 | −0.672433 | − | 0.740158i | \(-0.734751\pi\) | ||||
−0.672433 | + | 0.740158i | \(0.734751\pi\) | |||||||
\(68\) | 2.52437 | 0.306125 | ||||||||
\(69\) | 1.54754i | 0.186302i | ||||||||
\(70\) | −2.87843 | − | 1.83557i | −0.344038 | − | 0.219392i | ||||
\(71\) | −11.2669 | −1.33714 | −0.668569 | − | 0.743650i | \(-0.733093\pi\) | ||||
−0.668569 | + | 0.743650i | \(0.733093\pi\) | |||||||
\(72\) | 3.01298i | 0.355084i | ||||||||
\(73\) | −3.80935 | −0.445851 | −0.222925 | − | 0.974836i | \(-0.571561\pi\) | ||||
−0.222925 | + | 0.974836i | \(0.571561\pi\) | |||||||
\(74\) | 10.9168i | 1.26906i | ||||||||
\(75\) | 1.00000i | 0.115470i | ||||||||
\(76\) | 0.706466 | 0.0810373 | ||||||||
\(77\) | −2.76654 | + | 8.32744i | −0.315276 | + | 0.949000i | ||||
\(78\) | −4.18165 | −0.473478 | ||||||||
\(79\) | 5.78548i | 0.650918i | 0.945556 | + | 0.325459i | \(0.105519\pi\) | ||||
−0.945556 | + | 0.325459i | \(0.894481\pi\) | |||||||
\(80\) | 3.21764i | 0.359743i | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 8.80996i | 0.972898i | ||||||||
\(83\) | −9.24036 | −1.01426 | −0.507131 | − | 0.861869i | \(-0.669294\pi\) | ||||
−0.507131 | + | 0.861869i | \(0.669294\pi\) | |||||||
\(84\) | 0.476629 | − | 0.747420i | 0.0520044 | − | 0.0815502i | ||||
\(85\) | − | 7.53431i | − | 0.817211i | ||||||
\(86\) | 10.8889 | 1.17418 | ||||||||
\(87\) | −7.87403 | −0.844184 | ||||||||
\(88\) | 9.68982 | − | 2.44257i | 1.03294 | − | 0.260378i | ||||
\(89\) | − | 13.1967i | − | 1.39884i | −0.714710 | − | 0.699421i | \(-0.753441\pi\) | ||
0.714710 | − | 0.699421i | \(-0.246559\pi\) | |||||||
\(90\) | 1.29033 | 0.136013 | ||||||||
\(91\) | 7.22938 | + | 4.61017i | 0.757845 | + | 0.483277i | ||||
\(92\) | −0.518504 | −0.0540578 | ||||||||
\(93\) | 2.42925 | 0.251901 | ||||||||
\(94\) | 2.64596 | 0.272910 | ||||||||
\(95\) | − | 2.10854i | − | 0.216331i | ||||||
\(96\) | −1.87415 | −0.191280 | ||||||||
\(97\) | − | 2.85810i | − | 0.290196i | −0.989417 | − | 0.145098i | \(-0.953650\pi\) | ||
0.989417 | − | 0.145098i | \(-0.0463497\pi\) | |||||||
\(98\) | 8.18945 | − | 3.80990i | 0.827260 | − | 0.384858i | ||||
\(99\) | −0.810680 | − | 3.21602i | −0.0814764 | − | 0.323222i | ||||
\(100\) | −0.335051 | −0.0335051 | ||||||||
\(101\) | −7.67234 | −0.763427 | −0.381713 | − | 0.924281i | \(-0.624666\pi\) | ||||
−0.381713 | + | 0.924281i | \(0.624666\pi\) | |||||||
\(102\) | −9.72174 | −0.962596 | ||||||||
\(103\) | − | 5.83595i | − | 0.575033i | −0.957776 | − | 0.287517i | \(-0.907170\pi\) | ||
0.957776 | − | 0.287517i | \(-0.0928297\pi\) | |||||||
\(104\) | − | 9.76435i | − | 0.957474i | ||||||
\(105\) | −2.23077 | − | 1.42256i | −0.217701 | − | 0.138827i | ||||
\(106\) | − | 14.3225i | − | 1.39113i | ||||||
\(107\) | 8.10169i | 0.783219i | 0.920131 | + | 0.391610i | \(0.128082\pi\) | ||||
−0.920131 | + | 0.391610i | \(0.871918\pi\) | |||||||
\(108\) | 0.335051i | 0.0322403i | ||||||||
\(109\) | 3.24745i | 0.311049i | 0.987832 | + | 0.155524i | \(0.0497067\pi\) | ||||
−0.987832 | + | 0.155524i | \(0.950293\pi\) | |||||||
\(110\) | −1.04604 | − | 4.14973i | −0.0997364 | − | 0.395661i | ||||
\(111\) | 8.46051i | 0.803036i | ||||||||
\(112\) | −7.17781 | − | 4.57728i | −0.678239 | − | 0.432512i | ||||
\(113\) | −3.16140 | −0.297399 | −0.148700 | − | 0.988882i | \(-0.547509\pi\) | ||||
−0.148700 | + | 0.988882i | \(0.547509\pi\) | |||||||
\(114\) | −2.72071 | −0.254818 | ||||||||
\(115\) | 1.54754i | 0.144309i | ||||||||
\(116\) | − | 2.63820i | − | 0.244950i | ||||||
\(117\) | −3.24076 | −0.299608 | ||||||||
\(118\) | −12.1748 | −1.12078 | ||||||||
\(119\) | 16.8073 | + | 10.7180i | 1.54072 | + | 0.982517i | ||||
\(120\) | 3.01298i | 0.275047i | ||||||||
\(121\) | −9.68560 | + | 5.21433i | −0.880509 | + | 0.474030i | ||||
\(122\) | − | 11.3656i | − | 1.02899i | ||||||
\(123\) | 6.82769i | 0.615632i | ||||||||
\(124\) | 0.813920i | 0.0730922i | ||||||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −1.83557 | + | 2.87843i | −0.163525 | + | 0.256431i | ||||
\(127\) | 4.65573i | 0.413130i | 0.978433 | + | 0.206565i | \(0.0662284\pi\) | ||||
−0.978433 | + | 0.206565i | \(0.933772\pi\) | |||||||
\(128\) | 7.67569i | 0.678442i | ||||||||
\(129\) | 8.43887 | 0.743001 | ||||||||
\(130\) | −4.18165 | −0.366755 | ||||||||
\(131\) | −16.7450 | −1.46301 | −0.731507 | − | 0.681834i | \(-0.761182\pi\) | ||||
−0.731507 | + | 0.681834i | \(0.761182\pi\) | |||||||
\(132\) | 1.07753 | − | 0.271619i | 0.0937869 | − | 0.0236414i | ||||
\(133\) | 4.70366 | + | 2.99952i | 0.407859 | + | 0.260091i | ||||
\(134\) | 14.2042i | 1.22706i | ||||||||
\(135\) | 1.00000 | 0.0860663 | ||||||||
\(136\) | − | 22.7008i | − | 1.94657i | ||||||
\(137\) | −5.45865 | −0.466364 | −0.233182 | − | 0.972433i | \(-0.574914\pi\) | ||||
−0.233182 | + | 0.972433i | \(0.574914\pi\) | |||||||
\(138\) | 1.99683 | 0.169982 | ||||||||
\(139\) | 12.7584 | 1.08215 | 0.541077 | − | 0.840973i | \(-0.318017\pi\) | ||||
0.541077 | + | 0.840973i | \(0.318017\pi\) | |||||||
\(140\) | 0.476629 | − | 0.747420i | 0.0402825 | − | 0.0631685i | ||||
\(141\) | 2.05061 | 0.172692 | ||||||||
\(142\) | 14.5380i | 1.22001i | ||||||||
\(143\) | 2.62722 | + | 10.4224i | 0.219699 | + | 0.871561i | ||||
\(144\) | 3.21764 | 0.268137 | ||||||||
\(145\) | −7.87403 | −0.653902 | ||||||||
\(146\) | 4.91532i | 0.406794i | ||||||||
\(147\) | 6.34679 | − | 2.95266i | 0.523475 | − | 0.243531i | ||||
\(148\) | −2.83470 | −0.233011 | ||||||||
\(149\) | 13.2298i | 1.08383i | 0.840435 | + | 0.541913i | \(0.182300\pi\) | ||||
−0.840435 | + | 0.541913i | \(0.817700\pi\) | |||||||
\(150\) | 1.29033 | 0.105355 | ||||||||
\(151\) | − | 3.45527i | − | 0.281186i | −0.990068 | − | 0.140593i | \(-0.955099\pi\) | ||
0.990068 | − | 0.140593i | \(-0.0449008\pi\) | |||||||
\(152\) | − | 6.35299i | − | 0.515295i | ||||||
\(153\) | −7.53431 | −0.609113 | ||||||||
\(154\) | 10.7451 | + | 3.56974i | 0.865868 | + | 0.287658i | ||||
\(155\) | 2.42925 | 0.195122 | ||||||||
\(156\) | − | 1.08582i | − | 0.0869350i | ||||||
\(157\) | 5.55181i | 0.443082i | 0.975151 | + | 0.221541i | \(0.0711087\pi\) | ||||
−0.975151 | + | 0.221541i | \(0.928891\pi\) | |||||||
\(158\) | 7.46518 | 0.593898 | ||||||||
\(159\) | − | 11.0999i | − | 0.880279i | ||||||
\(160\) | −1.87415 | −0.148165 | ||||||||
\(161\) | −3.45220 | − | 2.20146i | −0.272072 | − | 0.173500i | ||||
\(162\) | − | 1.29033i | − | 0.101378i | ||||||
\(163\) | 8.55799 | 0.670314 | 0.335157 | − | 0.942162i | \(-0.391211\pi\) | ||||
0.335157 | + | 0.942162i | \(0.391211\pi\) | |||||||
\(164\) | −2.28762 | −0.178633 | ||||||||
\(165\) | −0.810680 | − | 3.21602i | −0.0631114 | − | 0.250367i | ||||
\(166\) | 11.9231i | 0.925413i | ||||||||
\(167\) | −11.1447 | −0.862405 | −0.431203 | − | 0.902255i | \(-0.641911\pi\) | ||||
−0.431203 | + | 0.902255i | \(0.641911\pi\) | |||||||
\(168\) | −6.72127 | − | 4.28614i | −0.518557 | − | 0.330683i | ||||
\(169\) | −2.49748 | −0.192114 | ||||||||
\(170\) | −9.72174 | −0.745624 | ||||||||
\(171\) | −2.10854 | −0.161244 | ||||||||
\(172\) | 2.82745i | 0.215591i | ||||||||
\(173\) | 24.0649 | 1.82962 | 0.914811 | − | 0.403883i | \(-0.132340\pi\) | ||||
0.914811 | + | 0.403883i | \(0.132340\pi\) | |||||||
\(174\) | 10.1601i | 0.770234i | ||||||||
\(175\) | −2.23077 | − | 1.42256i | −0.168630 | − | 0.107535i | ||||
\(176\) | −2.60848 | − | 10.3480i | −0.196621 | − | 0.780010i | ||||
\(177\) | −9.43543 | −0.709210 | ||||||||
\(178\) | −17.0280 | −1.27630 | ||||||||
\(179\) | 7.81636 | 0.584223 | 0.292111 | − | 0.956384i | \(-0.405642\pi\) | ||||
0.292111 | + | 0.956384i | \(0.405642\pi\) | |||||||
\(180\) | 0.335051i | 0.0249732i | ||||||||
\(181\) | − | 16.7489i | − | 1.24494i | −0.782645 | − | 0.622469i | \(-0.786130\pi\) | ||
0.782645 | − | 0.622469i | \(-0.213870\pi\) | |||||||
\(182\) | 5.94863 | − | 9.32829i | 0.440942 | − | 0.691459i | ||||
\(183\) | − | 8.80831i | − | 0.651129i | ||||||
\(184\) | 4.66271i | 0.343740i | ||||||||
\(185\) | 8.46051i | 0.622029i | ||||||||
\(186\) | − | 3.13453i | − | 0.229835i | ||||||
\(187\) | 6.10792 | + | 24.2305i | 0.446655 | + | 1.77191i | ||||
\(188\) | 0.687057i | 0.0501088i | ||||||||
\(189\) | −1.42256 | + | 2.23077i | −0.103476 | + | 0.162265i | ||||
\(190\) | −2.72071 | −0.197381 | ||||||||
\(191\) | 23.2532 | 1.68254 | 0.841272 | − | 0.540611i | \(-0.181807\pi\) | ||||
0.841272 | + | 0.540611i | \(0.181807\pi\) | |||||||
\(192\) | 8.85355i | 0.638950i | ||||||||
\(193\) | 4.14238i | 0.298175i | 0.988824 | + | 0.149087i | \(0.0476336\pi\) | ||||
−0.988824 | + | 0.149087i | \(0.952366\pi\) | |||||||
\(194\) | −3.68789 | −0.264775 | ||||||||
\(195\) | −3.24076 | −0.232076 | ||||||||
\(196\) | 0.989290 | + | 2.12650i | 0.0706636 | + | 0.151893i | ||||
\(197\) | − | 2.74227i | − | 0.195379i | −0.995217 | − | 0.0976894i | \(-0.968855\pi\) | ||
0.995217 | − | 0.0976894i | \(-0.0311452\pi\) | |||||||
\(198\) | −4.14973 | + | 1.04604i | −0.294908 | + | 0.0743391i | ||||
\(199\) | 3.96323i | 0.280946i | 0.990085 | + | 0.140473i | \(0.0448623\pi\) | ||||
−0.990085 | + | 0.140473i | \(0.955138\pi\) | |||||||
\(200\) | 3.01298i | 0.213050i | ||||||||
\(201\) | 11.0082i | 0.776459i | ||||||||
\(202\) | 9.89985i | 0.696551i | ||||||||
\(203\) | 11.2013 | − | 17.5651i | 0.786174 | − | 1.23283i | ||||
\(204\) | − | 2.52437i | − | 0.176742i | ||||||
\(205\) | 6.82769i | 0.476866i | ||||||||
\(206\) | −7.53030 | −0.524661 | ||||||||
\(207\) | 1.54754 | 0.107561 | ||||||||
\(208\) | −10.4276 | −0.723024 | ||||||||
\(209\) | 1.70935 | + | 6.78110i | 0.118238 | + | 0.469059i | ||||
\(210\) | −1.83557 | + | 2.87843i | −0.126666 | + | 0.198630i | ||||
\(211\) | − | 20.2200i | − | 1.39200i | −0.718041 | − | 0.696000i | \(-0.754961\pi\) | ||
0.718041 | − | 0.696000i | \(-0.245039\pi\) | |||||||
\(212\) | 3.71903 | 0.255424 | ||||||||
\(213\) | 11.2669i | 0.771997i | ||||||||
\(214\) | 10.4538 | 0.714610 | ||||||||
\(215\) | 8.43887 | 0.575526 | ||||||||
\(216\) | 3.01298 | 0.205008 | ||||||||
\(217\) | −3.45574 | + | 5.41909i | −0.234591 | + | 0.367872i | ||||
\(218\) | 4.19027 | 0.283801 | ||||||||
\(219\) | 3.80935i | 0.257412i | ||||||||
\(220\) | 1.07753 | − | 0.271619i | 0.0726470 | − | 0.0183125i | ||||
\(221\) | 24.4169 | 1.64246 | ||||||||
\(222\) | 10.9168 | 0.732691 | ||||||||
\(223\) | 17.8967i | 1.19845i | 0.800580 | + | 0.599226i | \(0.204525\pi\) | ||||
−0.800580 | + | 0.599226i | \(0.795475\pi\) | |||||||
\(224\) | 2.66609 | − | 4.18080i | 0.178136 | − | 0.279342i | ||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 4.07924i | 0.271347i | ||||||||
\(227\) | 0.765307 | 0.0507952 | 0.0253976 | − | 0.999677i | \(-0.491915\pi\) | ||||
0.0253976 | + | 0.999677i | \(0.491915\pi\) | |||||||
\(228\) | − | 0.706466i | − | 0.0467869i | ||||||
\(229\) | − | 6.39956i | − | 0.422895i | −0.977389 | − | 0.211447i | \(-0.932182\pi\) | ||
0.977389 | − | 0.211447i | \(-0.0678177\pi\) | |||||||
\(230\) | 1.99683 | 0.131667 | ||||||||
\(231\) | 8.32744 | + | 2.76654i | 0.547905 | + | 0.182025i | ||||
\(232\) | −23.7243 | −1.55758 | ||||||||
\(233\) | 4.42667i | 0.290000i | 0.989432 | + | 0.145000i | \(0.0463183\pi\) | ||||
−0.989432 | + | 0.145000i | \(0.953682\pi\) | |||||||
\(234\) | 4.18165i | 0.273363i | ||||||||
\(235\) | 2.05061 | 0.133767 | ||||||||
\(236\) | − | 3.16135i | − | 0.205786i | ||||||
\(237\) | 5.78548 | 0.375808 | ||||||||
\(238\) | 13.8297 | − | 21.6870i | 0.896449 | − | 1.40576i | ||||
\(239\) | − | 20.2965i | − | 1.31287i | −0.754383 | − | 0.656434i | \(-0.772064\pi\) | ||
0.754383 | − | 0.656434i | \(-0.227936\pi\) | |||||||
\(240\) | 3.21764 | 0.207698 | ||||||||
\(241\) | 5.89463 | 0.379706 | 0.189853 | − | 0.981812i | \(-0.439199\pi\) | ||||
0.189853 | + | 0.981812i | \(0.439199\pi\) | |||||||
\(242\) | 6.72820 | + | 12.4976i | 0.432505 | + | 0.803377i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 2.95123 | 0.188933 | ||||||||
\(245\) | 6.34679 | − | 2.95266i | 0.405482 | − | 0.188639i | ||||
\(246\) | 8.80996 | 0.561703 | ||||||||
\(247\) | 6.83326 | 0.434790 | ||||||||
\(248\) | 7.31928 | 0.464775 | ||||||||
\(249\) | 9.24036i | 0.585584i | ||||||||
\(250\) | 1.29033 | 0.0816076 | ||||||||
\(251\) | 7.01197i | 0.442592i | 0.975207 | + | 0.221296i | \(0.0710287\pi\) | ||||
−0.975207 | + | 0.221296i | \(0.928971\pi\) | |||||||
\(252\) | −0.747420 | − | 0.476629i | −0.0470831 | − | 0.0300248i | ||||
\(253\) | −1.25456 | − | 4.97692i | −0.0788735 | − | 0.312896i | ||||
\(254\) | 6.00743 | 0.376940 | ||||||||
\(255\) | −7.53431 | −0.471817 | ||||||||
\(256\) | −7.80294 | −0.487683 | ||||||||
\(257\) | 29.5080i | 1.84066i | 0.391144 | + | 0.920329i | \(0.372079\pi\) | ||||
−0.391144 | + | 0.920329i | \(0.627921\pi\) | |||||||
\(258\) | − | 10.8889i | − | 0.677915i | ||||||
\(259\) | −18.8734 | − | 12.0356i | −1.17274 | − | 0.747854i | ||||
\(260\) | − | 1.08582i | − | 0.0673396i | ||||||
\(261\) | 7.87403i | 0.487390i | ||||||||
\(262\) | 21.6065i | 1.33485i | ||||||||
\(263\) | − | 3.52655i | − | 0.217456i | −0.994072 | − | 0.108728i | \(-0.965322\pi\) | ||
0.994072 | − | 0.108728i | \(-0.0346778\pi\) | |||||||
\(264\) | −2.44257 | − | 9.68982i | −0.150330 | − | 0.596367i | ||||
\(265\) | − | 11.0999i | − | 0.681861i | ||||||
\(266\) | 3.87036 | − | 6.06927i | 0.237307 | − | 0.372131i | ||||
\(267\) | −13.1967 | −0.807622 | ||||||||
\(268\) | −3.68830 | −0.225299 | ||||||||
\(269\) | 6.40717i | 0.390652i | 0.980738 | + | 0.195326i | \(0.0625765\pi\) | ||||
−0.980738 | + | 0.195326i | \(0.937424\pi\) | |||||||
\(270\) | − | 1.29033i | − | 0.0785269i | ||||||
\(271\) | 7.93034 | 0.481734 | 0.240867 | − | 0.970558i | \(-0.422568\pi\) | ||||
0.240867 | + | 0.970558i | \(0.422568\pi\) | |||||||
\(272\) | −24.2427 | −1.46993 | ||||||||
\(273\) | 4.61017 | − | 7.22938i | 0.279020 | − | 0.437542i | ||||
\(274\) | 7.04345i | 0.425510i | ||||||||
\(275\) | −0.810680 | − | 3.21602i | −0.0488858 | − | 0.193933i | ||||
\(276\) | 0.518504i | 0.0312103i | ||||||||
\(277\) | 17.2769i | 1.03807i | 0.854753 | + | 0.519034i | \(0.173708\pi\) | ||||
−0.854753 | + | 0.519034i | \(0.826292\pi\) | |||||||
\(278\) | − | 16.4625i | − | 0.987357i | ||||||
\(279\) | − | 2.42925i | − | 0.145435i | ||||||
\(280\) | −6.72127 | − | 4.28614i | −0.401673 | − | 0.256146i | ||||
\(281\) | − | 8.40629i | − | 0.501477i | −0.968055 | − | 0.250739i | \(-0.919327\pi\) | ||
0.968055 | − | 0.250739i | \(-0.0806735\pi\) | |||||||
\(282\) | − | 2.64596i | − | 0.157564i | ||||||
\(283\) | 0.434262 | 0.0258142 | 0.0129071 | − | 0.999917i | \(-0.495891\pi\) | ||||
0.0129071 | + | 0.999917i | \(0.495891\pi\) | |||||||
\(284\) | −3.77499 | −0.224004 | ||||||||
\(285\) | −2.10854 | −0.124899 | ||||||||
\(286\) | 13.4483 | − | 3.38998i | 0.795213 | − | 0.200454i | ||||
\(287\) | −15.2310 | − | 9.71278i | −0.899057 | − | 0.573327i | ||||
\(288\) | 1.87415i | 0.110436i | ||||||||
\(289\) | 39.7658 | 2.33917 | ||||||||
\(290\) | 10.1601i | 0.596621i | ||||||||
\(291\) | −2.85810 | −0.167545 | ||||||||
\(292\) | −1.27632 | −0.0746913 | ||||||||
\(293\) | 26.8651 | 1.56947 | 0.784737 | − | 0.619829i | \(-0.212798\pi\) | ||||
0.784737 | + | 0.619829i | \(0.212798\pi\) | |||||||
\(294\) | −3.80990 | − | 8.18945i | −0.222198 | − | 0.477619i | ||||
\(295\) | −9.43543 | −0.549352 | ||||||||
\(296\) | 25.4914i | 1.48166i | ||||||||
\(297\) | −3.21602 | + | 0.810680i | −0.186613 | + | 0.0470404i | ||||
\(298\) | 17.0708 | 0.988883 | ||||||||
\(299\) | −5.01520 | −0.290037 | ||||||||
\(300\) | 0.335051i | 0.0193442i | ||||||||
\(301\) | −12.0048 | + | 18.8252i | −0.691944 | + | 1.08507i | ||||
\(302\) | −4.45843 | −0.256554 | ||||||||
\(303\) | 7.67234i | 0.440765i | ||||||||
\(304\) | −6.78451 | −0.389119 | ||||||||
\(305\) | − | 8.80831i | − | 0.504362i | ||||||
\(306\) | 9.72174i | 0.555755i | ||||||||
\(307\) | 10.6341 | 0.606920 | 0.303460 | − | 0.952844i | \(-0.401858\pi\) | ||||
0.303460 | + | 0.952844i | \(0.401858\pi\) | |||||||
\(308\) | −0.926929 | + | 2.79011i | −0.0528167 | + | 0.158981i | ||||
\(309\) | −5.83595 | −0.331996 | ||||||||
\(310\) | − | 3.13453i | − | 0.178029i | ||||||
\(311\) | 14.9940i | 0.850234i | 0.905138 | + | 0.425117i | \(0.139767\pi\) | ||||
−0.905138 | + | 0.425117i | \(0.860233\pi\) | |||||||
\(312\) | −9.76435 | −0.552798 | ||||||||
\(313\) | − | 11.6551i | − | 0.658785i | −0.944193 | − | 0.329392i | \(-0.893156\pi\) | ||
0.944193 | − | 0.329392i | \(-0.106844\pi\) | |||||||
\(314\) | 7.16366 | 0.404269 | ||||||||
\(315\) | −1.42256 | + | 2.23077i | −0.0801520 | + | 0.125690i | ||||
\(316\) | 1.93843i | 0.109045i | ||||||||
\(317\) | −27.6631 | −1.55372 | −0.776858 | − | 0.629675i | \(-0.783188\pi\) | ||||
−0.776858 | + | 0.629675i | \(0.783188\pi\) | |||||||
\(318\) | −14.3225 | −0.803167 | ||||||||
\(319\) | 25.3230 | − | 6.38332i | 1.41782 | − | 0.357397i | ||||
\(320\) | 8.85355i | 0.494929i | ||||||||
\(321\) | 8.10169 | 0.452192 | ||||||||
\(322\) | −2.84061 | + | 4.45448i | −0.158301 | + | 0.248238i | ||||
\(323\) | 15.8864 | 0.883941 | ||||||||
\(324\) | 0.335051 | 0.0186139 | ||||||||
\(325\) | −3.24076 | −0.179765 | ||||||||
\(326\) | − | 11.0426i | − | 0.611595i | ||||||
\(327\) | 3.24745 | 0.179584 | ||||||||
\(328\) | 20.5717i | 1.13588i | ||||||||
\(329\) | −2.91711 | + | 4.57443i | −0.160825 | + | 0.252196i | ||||
\(330\) | −4.14973 | + | 1.04604i | −0.228435 | + | 0.0575828i | ||||
\(331\) | −9.71214 | −0.533827 | −0.266914 | − | 0.963720i | \(-0.586004\pi\) | ||||
−0.266914 | + | 0.963720i | \(0.586004\pi\) | |||||||
\(332\) | −3.09599 | −0.169914 | ||||||||
\(333\) | 8.46051 | 0.463633 | ||||||||
\(334\) | 14.3804i | 0.786859i | ||||||||
\(335\) | 11.0082i | 0.601442i | ||||||||
\(336\) | −4.57728 | + | 7.17781i | −0.249711 | + | 0.391582i | ||||
\(337\) | − | 22.0452i | − | 1.20088i | −0.799669 | − | 0.600441i | \(-0.794992\pi\) | ||
0.799669 | − | 0.600441i | \(-0.205008\pi\) | |||||||
\(338\) | 3.22257i | 0.175285i | ||||||||
\(339\) | 3.16140i | 0.171704i | ||||||||
\(340\) | − | 2.52437i | − | 0.136903i | ||||||
\(341\) | −7.81251 | + | 1.96934i | −0.423071 | + | 0.106646i | ||||
\(342\) | 2.72071i | 0.147119i | ||||||||
\(343\) | −2.44198 | + | 18.3586i | −0.131854 | + | 0.991269i | ||||
\(344\) | 25.4262 | 1.37089 | ||||||||
\(345\) | 1.54754 | 0.0833167 | ||||||||
\(346\) | − | 31.0517i | − | 1.66935i | ||||||
\(347\) | 31.0772i | 1.66831i | 0.551528 | + | 0.834156i | \(0.314045\pi\) | ||||
−0.551528 | + | 0.834156i | \(0.685955\pi\) | |||||||
\(348\) | −2.63820 | −0.141422 | ||||||||
\(349\) | −13.0393 | −0.697976 | −0.348988 | − | 0.937127i | \(-0.613475\pi\) | ||||
−0.348988 | + | 0.937127i | \(0.613475\pi\) | |||||||
\(350\) | −1.83557 | + | 2.87843i | −0.0981152 | + | 0.153858i | ||||
\(351\) | 3.24076i | 0.172979i | ||||||||
\(352\) | 6.02732 | − | 1.51934i | 0.321257 | − | 0.0809810i | ||||
\(353\) | − | 1.42738i | − | 0.0759718i | −0.999278 | − | 0.0379859i | \(-0.987906\pi\) | ||
0.999278 | − | 0.0379859i | \(-0.0120942\pi\) | |||||||
\(354\) | 12.1748i | 0.647084i | ||||||||
\(355\) | 11.2669i | 0.597987i | ||||||||
\(356\) | − | 4.42155i | − | 0.234341i | ||||||
\(357\) | 10.7180 | − | 16.8073i | 0.567256 | − | 0.889537i | ||||
\(358\) | − | 10.0857i | − | 0.533045i | ||||||
\(359\) | − | 16.6331i | − | 0.877863i | −0.898521 | − | 0.438931i | \(-0.855357\pi\) | ||
0.898521 | − | 0.438931i | \(-0.144643\pi\) | |||||||
\(360\) | 3.01298 | 0.158798 | ||||||||
\(361\) | −14.5541 | −0.766004 | ||||||||
\(362\) | −21.6116 | −1.13588 | ||||||||
\(363\) | 5.21433 | + | 9.68560i | 0.273681 | + | 0.508362i | ||||
\(364\) | 2.42221 | + | 1.54464i | 0.126958 | + | 0.0809611i | ||||
\(365\) | 3.80935i | 0.199391i | ||||||||
\(366\) | −11.3656 | −0.594090 | ||||||||
\(367\) | 10.3033i | 0.537828i | 0.963164 | + | 0.268914i | \(0.0866648\pi\) | ||||
−0.963164 | + | 0.268914i | \(0.913335\pi\) | |||||||
\(368\) | 4.97942 | 0.259570 | ||||||||
\(369\) | 6.82769 | 0.355435 | ||||||||
\(370\) | 10.9168 | 0.567540 | ||||||||
\(371\) | 24.7613 | + | 15.7902i | 1.28554 | + | 0.819788i | ||||
\(372\) | 0.813920 | 0.0421998 | ||||||||
\(373\) | 22.9352i | 1.18754i | 0.804635 | + | 0.593770i | \(0.202361\pi\) | ||||
−0.804635 | + | 0.593770i | \(0.797639\pi\) | |||||||
\(374\) | 31.2653 | − | 7.88122i | 1.61669 | − | 0.407528i | ||||
\(375\) | 1.00000 | 0.0516398 | ||||||||
\(376\) | 6.17844 | 0.318629 | ||||||||
\(377\) | − | 25.5178i | − | 1.31423i | ||||||
\(378\) | 2.87843 | + | 1.83557i | 0.148050 | + | 0.0944114i | ||||
\(379\) | 8.73449 | 0.448661 | 0.224330 | − | 0.974513i | \(-0.427981\pi\) | ||||
0.224330 | + | 0.974513i | \(0.427981\pi\) | |||||||
\(380\) | − | 0.706466i | − | 0.0362410i | ||||||
\(381\) | 4.65573 | 0.238520 | ||||||||
\(382\) | − | 30.0043i | − | 1.53515i | ||||||
\(383\) | 15.5916i | 0.796692i | 0.917235 | + | 0.398346i | \(0.130416\pi\) | ||||
−0.917235 | + | 0.398346i | \(0.869584\pi\) | |||||||
\(384\) | 7.67569 | 0.391699 | ||||||||
\(385\) | 8.32744 | + | 2.76654i | 0.424406 | + | 0.140996i | ||||
\(386\) | 5.34503 | 0.272055 | ||||||||
\(387\) | − | 8.43887i | − | 0.428972i | ||||||
\(388\) | − | 0.957607i | − | 0.0486151i | ||||||
\(389\) | −27.6283 | −1.40081 | −0.700405 | − | 0.713745i | \(-0.746997\pi\) | ||||
−0.700405 | + | 0.713745i | \(0.746997\pi\) | |||||||
\(390\) | 4.18165i | 0.211746i | ||||||||
\(391\) | −11.6596 | −0.589653 | ||||||||
\(392\) | 19.1228 | − | 8.89632i | 0.965847 | − | 0.449332i | ||||
\(393\) | 16.7450i | 0.844671i | ||||||||
\(394\) | −3.53843 | −0.178264 | ||||||||
\(395\) | 5.78548 | 0.291099 | ||||||||
\(396\) | −0.271619 | − | 1.07753i | −0.0136494 | − | 0.0541479i | ||||
\(397\) | 17.6315i | 0.884902i | 0.896793 | + | 0.442451i | \(0.145891\pi\) | ||||
−0.896793 | + | 0.442451i | \(0.854109\pi\) | |||||||
\(398\) | 5.11387 | 0.256335 | ||||||||
\(399\) | 2.99952 | − | 4.70366i | 0.150164 | − | 0.235477i | ||||
\(400\) | 3.21764 | 0.160882 | ||||||||
\(401\) | −36.5809 | −1.82676 | −0.913382 | − | 0.407103i | \(-0.866539\pi\) | ||||
−0.913382 | + | 0.407103i | \(0.866539\pi\) | |||||||
\(402\) | 14.2042 | 0.708441 | ||||||||
\(403\) | 7.87260i | 0.392162i | ||||||||
\(404\) | −2.57062 | −0.127893 | ||||||||
\(405\) | − | 1.00000i | − | 0.0496904i | ||||||
\(406\) | −22.6648 | − | 14.4533i | −1.12484 | − | 0.717306i | ||||
\(407\) | −6.85877 | − | 27.2092i | −0.339977 | − | 1.34871i | ||||
\(408\) | −22.7008 | −1.12385 | ||||||||
\(409\) | 11.1695 | 0.552294 | 0.276147 | − | 0.961115i | \(-0.410942\pi\) | ||||
0.276147 | + | 0.961115i | \(0.410942\pi\) | |||||||
\(410\) | 8.80996 | 0.435093 | ||||||||
\(411\) | 5.45865i | 0.269255i | ||||||||
\(412\) | − | 1.95534i | − | 0.0963326i | ||||||
\(413\) | 13.4224 | − | 21.0483i | 0.660475 | − | 1.03572i | ||||
\(414\) | − | 1.99683i | − | 0.0981391i | ||||||
\(415\) | 9.24036i | 0.453591i | ||||||||
\(416\) | − | 6.07368i | − | 0.297787i | ||||||
\(417\) | − | 12.7584i | − | 0.624782i | ||||||
\(418\) | 8.74985 | − | 2.20562i | 0.427969 | − | 0.107881i | ||||
\(419\) | 2.69603i | 0.131709i | 0.997829 | + | 0.0658547i | \(0.0209774\pi\) | ||||
−0.997829 | + | 0.0658547i | \(0.979023\pi\) | |||||||
\(420\) | −0.747420 | − | 0.476629i | −0.0364704 | − | 0.0232571i | ||||
\(421\) | 11.8615 | 0.578096 | 0.289048 | − | 0.957315i | \(-0.406661\pi\) | ||||
0.289048 | + | 0.957315i | \(0.406661\pi\) | |||||||
\(422\) | −26.0904 | −1.27006 | ||||||||
\(423\) | − | 2.05061i | − | 0.0997039i | ||||||
\(424\) | − | 33.4438i | − | 1.62417i | ||||||
\(425\) | −7.53431 | −0.365468 | ||||||||
\(426\) | 14.5380 | 0.704371 | ||||||||
\(427\) | 19.6493 | + | 12.5303i | 0.950896 | + | 0.606385i | ||||
\(428\) | 2.71447i | 0.131209i | ||||||||
\(429\) | 10.4224 | − | 2.62722i | 0.503196 | − | 0.126843i | ||||
\(430\) | − | 10.8889i | − | 0.525111i | ||||||
\(431\) | 39.1098i | 1.88385i | 0.335819 | + | 0.941926i | \(0.390987\pi\) | ||||
−0.335819 | + | 0.941926i | \(0.609013\pi\) | |||||||
\(432\) | − | 3.21764i | − | 0.154809i | ||||||
\(433\) | − | 28.2462i | − | 1.35742i | −0.734404 | − | 0.678712i | \(-0.762538\pi\) | ||
0.734404 | − | 0.678712i | \(-0.237462\pi\) | |||||||
\(434\) | 6.99241 | + | 4.45904i | 0.335646 | + | 0.214041i | ||||
\(435\) | 7.87403i | 0.377531i | ||||||||
\(436\) | 1.08806i | 0.0521086i | ||||||||
\(437\) | −3.26304 | −0.156093 | ||||||||
\(438\) | 4.91532 | 0.234863 | ||||||||
\(439\) | −32.9581 | −1.57300 | −0.786502 | − | 0.617587i | \(-0.788110\pi\) | ||||
−0.786502 | + | 0.617587i | \(0.788110\pi\) | |||||||
\(440\) | −2.44257 | − | 9.68982i | −0.116445 | − | 0.461944i | ||||
\(441\) | −2.95266 | − | 6.34679i | −0.140603 | − | 0.302228i | ||||
\(442\) | − | 31.5058i | − | 1.49858i | ||||||
\(443\) | 16.9942 | 0.807420 | 0.403710 | − | 0.914887i | \(-0.367720\pi\) | ||||
0.403710 | + | 0.914887i | \(0.367720\pi\) | |||||||
\(444\) | 2.83470i | 0.134529i | ||||||||
\(445\) | −13.1967 | −0.625581 | ||||||||
\(446\) | 23.0927 | 1.09347 | ||||||||
\(447\) | 13.2298 | 0.625747 | ||||||||
\(448\) | −19.7502 | − | 12.5947i | −0.933111 | − | 0.595043i | ||||
\(449\) | 11.0171 | 0.519929 | 0.259964 | − | 0.965618i | \(-0.416289\pi\) | ||||
0.259964 | + | 0.965618i | \(0.416289\pi\) | |||||||
\(450\) | − | 1.29033i | − | 0.0608267i | ||||||
\(451\) | −5.53507 | − | 21.9580i | −0.260636 | − | 1.03396i | ||||
\(452\) | −1.05923 | −0.0498219 | ||||||||
\(453\) | −3.45527 | −0.162343 | ||||||||
\(454\) | − | 0.987498i | − | 0.0463456i | ||||||
\(455\) | 4.61017 | − | 7.22938i | 0.216128 | − | 0.338919i | ||||
\(456\) | −6.35299 | −0.297506 | ||||||||
\(457\) | − | 5.85432i | − | 0.273853i | −0.990581 | − | 0.136927i | \(-0.956278\pi\) | ||
0.990581 | − | 0.136927i | \(-0.0437225\pi\) | |||||||
\(458\) | −8.25754 | −0.385850 | ||||||||
\(459\) | 7.53431i | 0.351672i | ||||||||
\(460\) | 0.518504i | 0.0241754i | ||||||||
\(461\) | −31.2160 | −1.45387 | −0.726936 | − | 0.686705i | \(-0.759057\pi\) | ||||
−0.726936 | + | 0.686705i | \(0.759057\pi\) | |||||||
\(462\) | 3.56974 | − | 10.7451i | 0.166079 | − | 0.499909i | ||||
\(463\) | 11.0802 | 0.514940 | 0.257470 | − | 0.966286i | \(-0.417111\pi\) | ||||
0.257470 | + | 0.966286i | \(0.417111\pi\) | |||||||
\(464\) | 25.3358i | 1.17618i | ||||||||
\(465\) | − | 2.42925i | − | 0.112654i | ||||||
\(466\) | 5.71186 | 0.264597 | ||||||||
\(467\) | 16.2356i | 0.751295i | 0.926763 | + | 0.375647i | \(0.122580\pi\) | ||||
−0.926763 | + | 0.375647i | \(0.877420\pi\) | |||||||
\(468\) | −1.08582 | −0.0501919 | ||||||||
\(469\) | −24.5568 | − | 15.6598i | −1.13393 | − | 0.723102i | ||||
\(470\) | − | 2.64596i | − | 0.122049i | ||||||
\(471\) | 5.55181 | 0.255814 | ||||||||
\(472\) | −28.4288 | −1.30854 | ||||||||
\(473\) | −27.1396 | + | 6.84123i | −1.24788 | + | 0.314560i | ||||
\(474\) | − | 7.46518i | − | 0.342887i | ||||||
\(475\) | −2.10854 | −0.0967463 | ||||||||
\(476\) | 5.63130 | + | 3.59107i | 0.258110 | + | 0.164596i | ||||
\(477\) | −11.0999 | −0.508229 | ||||||||
\(478\) | −26.1891 | −1.19786 | ||||||||
\(479\) | 18.1711 | 0.830259 | 0.415130 | − | 0.909762i | \(-0.363736\pi\) | ||||
0.415130 | + | 0.909762i | \(0.363736\pi\) | |||||||
\(480\) | 1.87415i | 0.0855430i | ||||||||
\(481\) | −27.4185 | −1.25017 | ||||||||
\(482\) | − | 7.60601i | − | 0.346444i | ||||||
\(483\) | −2.20146 | + | 3.45220i | −0.100170 | + | 0.157081i | ||||
\(484\) | −3.24516 | + | 1.74706i | −0.147507 | + | 0.0794120i | ||||
\(485\) | −2.85810 | −0.129780 | ||||||||
\(486\) | −1.29033 | −0.0585305 | ||||||||
\(487\) | 21.9493 | 0.994617 | 0.497309 | − | 0.867574i | \(-0.334322\pi\) | ||||
0.497309 | + | 0.867574i | \(0.334322\pi\) | |||||||
\(488\) | − | 26.5393i | − | 1.20138i | ||||||
\(489\) | − | 8.55799i | − | 0.387006i | ||||||
\(490\) | −3.80990 | − | 8.18945i | −0.172114 | − | 0.369962i | ||||
\(491\) | 22.1227i | 0.998382i | 0.866492 | + | 0.499191i | \(0.166369\pi\) | ||||
−0.866492 | + | 0.499191i | \(0.833631\pi\) | |||||||
\(492\) | 2.28762i | 0.103134i | ||||||||
\(493\) | − | 59.3254i | − | 2.67188i | ||||||
\(494\) | − | 8.81716i | − | 0.396703i | ||||||
\(495\) | −3.21602 | + | 0.810680i | −0.144549 | + | 0.0364374i | ||||
\(496\) | − | 7.81644i | − | 0.350968i | ||||||
\(497\) | −25.1339 | − | 16.0279i | −1.12741 | − | 0.718948i | ||||
\(498\) | 11.9231 | 0.534287 | ||||||||
\(499\) | −23.0195 | −1.03049 | −0.515247 | − | 0.857042i | \(-0.672300\pi\) | ||||
−0.515247 | + | 0.857042i | \(0.672300\pi\) | |||||||
\(500\) | 0.335051i | 0.0149839i | ||||||||
\(501\) | 11.1447i | 0.497910i | ||||||||
\(502\) | 9.04775 | 0.403821 | ||||||||
\(503\) | −40.8160 | −1.81990 | −0.909948 | − | 0.414723i | \(-0.863879\pi\) | ||||
−0.909948 | + | 0.414723i | \(0.863879\pi\) | |||||||
\(504\) | −4.28614 | + | 6.72127i | −0.190920 | + | 0.299389i | ||||
\(505\) | 7.67234i | 0.341415i | ||||||||
\(506\) | −6.42187 | + | 1.61879i | −0.285487 | + | 0.0719642i | ||||
\(507\) | 2.49748i | 0.110917i | ||||||||
\(508\) | 1.55991i | 0.0692096i | ||||||||
\(509\) | − | 26.3468i | − | 1.16780i | −0.811826 | − | 0.583900i | \(-0.801526\pi\) | ||
0.811826 | − | 0.583900i | \(-0.198474\pi\) | |||||||
\(510\) | 9.72174i | 0.430486i | ||||||||
\(511\) | −8.49778 | − | 5.41902i | −0.375920 | − | 0.239723i | ||||
\(512\) | 25.4197i | 1.12340i | ||||||||
\(513\) | 2.10854i | 0.0930942i | ||||||||
\(514\) | 38.0750 | 1.67942 | ||||||||
\(515\) | −5.83595 | −0.257163 | ||||||||
\(516\) | 2.82745 | 0.124472 | ||||||||
\(517\) | −6.59479 | + | 1.66239i | −0.290039 | + | 0.0731116i | ||||
\(518\) | −15.5298 | + | 24.3530i | −0.682342 | + | 1.07001i | ||||
\(519\) | − | 24.0649i | − | 1.05633i | ||||||
\(520\) | −9.76435 | −0.428195 | ||||||||
\(521\) | 26.3925i | 1.15627i | 0.815939 | + | 0.578137i | \(0.196220\pi\) | ||||
−0.815939 | + | 0.578137i | \(0.803780\pi\) | |||||||
\(522\) | 10.1601 | 0.444695 | ||||||||
\(523\) | 28.5651 | 1.24906 | 0.624532 | − | 0.780999i | \(-0.285290\pi\) | ||||
0.624532 | + | 0.780999i | \(0.285290\pi\) | |||||||
\(524\) | −5.61040 | −0.245092 | ||||||||
\(525\) | −1.42256 | + | 2.23077i | −0.0620855 | + | 0.0973587i | ||||
\(526\) | −4.55041 | −0.198407 | ||||||||
\(527\) | 18.3027i | 0.797278i | ||||||||
\(528\) | −10.3480 | + | 2.60848i | −0.450339 | + | 0.113519i | ||||
\(529\) | −20.6051 | −0.895875 | ||||||||
\(530\) | −14.3225 | −0.622131 | ||||||||
\(531\) | 9.43543i | 0.409463i | ||||||||
\(532\) | 1.57596 | + | 1.00499i | 0.0683267 | + | 0.0435718i | ||||
\(533\) | −22.1269 | −0.958422 | ||||||||
\(534\) | 17.0280i | 0.736875i | ||||||||
\(535\) | 8.10169 | 0.350266 | ||||||||
\(536\) | 33.1675i | 1.43262i | ||||||||
\(537\) | − | 7.81636i | − | 0.337301i | ||||||
\(538\) | 8.26735 | 0.356431 | ||||||||
\(539\) | −18.0178 | + | 14.6410i | −0.776080 | + | 0.630634i | ||||
\(540\) | 0.335051 | 0.0144183 | ||||||||
\(541\) | 12.4100i | 0.533547i | 0.963759 | + | 0.266774i | \(0.0859576\pi\) | ||||
−0.963759 | + | 0.266774i | \(0.914042\pi\) | |||||||
\(542\) | − | 10.2328i | − | 0.439534i | ||||||
\(543\) | −16.7489 | −0.718765 | ||||||||
\(544\) | − | 14.1204i | − | 0.605409i | ||||||
\(545\) | 3.24745 | 0.139105 | ||||||||
\(546\) | −9.32829 | − | 5.94863i | −0.399214 | − | 0.254578i | ||||
\(547\) | − | 35.9413i | − | 1.53674i | −0.640005 | − | 0.768371i | \(-0.721068\pi\) | ||
0.640005 | − | 0.768371i | \(-0.278932\pi\) | |||||||
\(548\) | −1.82892 | −0.0781277 | ||||||||
\(549\) | −8.80831 | −0.375929 | ||||||||
\(550\) | −4.14973 | + | 1.04604i | −0.176945 | + | 0.0446035i | ||||
\(551\) | − | 16.6027i | − | 0.707298i | ||||||
\(552\) | 4.66271 | 0.198458 | ||||||||
\(553\) | −8.23018 | + | 12.9061i | −0.349983 | + | 0.548822i | ||||
\(554\) | 22.2929 | 0.947134 | ||||||||
\(555\) | 8.46051 | 0.359129 | ||||||||
\(556\) | 4.27471 | 0.181288 | ||||||||
\(557\) | − | 37.6530i | − | 1.59541i | −0.603049 | − | 0.797704i | \(-0.706048\pi\) | ||
0.603049 | − | 0.797704i | \(-0.293952\pi\) | |||||||
\(558\) | −3.13453 | −0.132695 | ||||||||
\(559\) | 27.3484i | 1.15671i | ||||||||
\(560\) | −4.57728 | + | 7.17781i | −0.193425 | + | 0.303318i | ||||
\(561\) | 24.2305 | − | 6.10792i | 1.02301 | − | 0.257876i | ||||
\(562\) | −10.8469 | −0.457548 | ||||||||
\(563\) | 13.2558 | 0.558663 | 0.279332 | − | 0.960195i | \(-0.409887\pi\) | ||||
0.279332 | + | 0.960195i | \(0.409887\pi\) | |||||||
\(564\) | 0.687057 | 0.0289303 | ||||||||
\(565\) | 3.16140i | 0.133001i | ||||||||
\(566\) | − | 0.560340i | − | 0.0235529i | ||||||
\(567\) | 2.23077 | + | 1.42256i | 0.0936835 | + | 0.0597418i | ||||
\(568\) | 33.9471i | 1.42439i | ||||||||
\(569\) | 18.2679i | 0.765828i | 0.923784 | + | 0.382914i | \(0.125080\pi\) | ||||
−0.923784 | + | 0.382914i | \(0.874920\pi\) | |||||||
\(570\) | 2.72071i | 0.113958i | ||||||||
\(571\) | 26.9402i | 1.12741i | 0.825975 | + | 0.563707i | \(0.190625\pi\) | ||||
−0.825975 | + | 0.563707i | \(0.809375\pi\) | |||||||
\(572\) | 0.880251 | + | 3.49201i | 0.0368051 | + | 0.146008i | ||||
\(573\) | − | 23.2532i | − | 0.971418i | ||||||
\(574\) | −12.5327 | + | 19.6530i | −0.523104 | + | 0.820300i | ||||
\(575\) | 1.54754 | 0.0645368 | ||||||||
\(576\) | 8.85355 | 0.368898 | ||||||||
\(577\) | − | 38.1940i | − | 1.59004i | −0.606585 | − | 0.795019i | \(-0.707461\pi\) | ||
0.606585 | − | 0.795019i | \(-0.292539\pi\) | |||||||
\(578\) | − | 51.3110i | − | 2.13426i | ||||||
\(579\) | 4.14238 | 0.172151 | ||||||||
\(580\) | −2.63820 | −0.109545 | ||||||||
\(581\) | −20.6131 | − | 13.1449i | −0.855176 | − | 0.545344i | ||||
\(582\) | 3.68789i | 0.152868i | ||||||||
\(583\) | 8.99847 | + | 35.6975i | 0.372678 | + | 1.47844i | ||||
\(584\) | 11.4775i | 0.474943i | ||||||||
\(585\) | 3.24076i | 0.133989i | ||||||||
\(586\) | − | 34.6648i | − | 1.43199i | ||||||
\(587\) | − | 34.1079i | − | 1.40778i | −0.710307 | − | 0.703892i | \(-0.751444\pi\) | ||
0.710307 | − | 0.703892i | \(-0.248556\pi\) | |||||||
\(588\) | 2.12650 | − | 0.989290i | 0.0876952 | − | 0.0407976i | ||||
\(589\) | 5.12215i | 0.211055i | ||||||||
\(590\) | 12.1748i | 0.501229i | ||||||||
\(591\) | −2.74227 | −0.112802 | ||||||||
\(592\) | 27.2229 | 1.11885 | ||||||||
\(593\) | −11.2669 | −0.462675 | −0.231337 | − | 0.972874i | \(-0.574310\pi\) | ||||
−0.231337 | + | 0.972874i | \(0.574310\pi\) | |||||||
\(594\) | 1.04604 | + | 4.14973i | 0.0429197 | + | 0.170265i | ||||
\(595\) | 10.7180 | − | 16.8073i | 0.439395 | − | 0.689032i | ||||
\(596\) | 4.43264i | 0.181568i | ||||||||
\(597\) | 3.96323 | 0.162204 | ||||||||
\(598\) | 6.47126i | 0.264630i | ||||||||
\(599\) | −42.1747 | −1.72321 | −0.861605 | − | 0.507579i | \(-0.830541\pi\) | ||||
−0.861605 | + | 0.507579i | \(0.830541\pi\) | |||||||
\(600\) | 3.01298 | 0.123005 | ||||||||
\(601\) | 46.5214 | 1.89765 | 0.948824 | − | 0.315805i | \(-0.102275\pi\) | ||||
0.948824 | + | 0.315805i | \(0.102275\pi\) | |||||||
\(602\) | 24.2907 | + | 15.4901i | 0.990014 | + | 0.631330i | ||||
\(603\) | 11.0082 | 0.448289 | ||||||||
\(604\) | − | 1.15769i | − | 0.0471057i | ||||||
\(605\) | 5.21433 | + | 9.68560i | 0.211993 | + | 0.393775i | ||||
\(606\) | 9.89985 | 0.402154 | ||||||||
\(607\) | −15.5959 | −0.633019 | −0.316509 | − | 0.948589i | \(-0.602511\pi\) | ||||
−0.316509 | + | 0.948589i | \(0.602511\pi\) | |||||||
\(608\) | − | 3.95172i | − | 0.160263i | ||||||
\(609\) | −17.5651 | − | 11.2013i | −0.711775 | − | 0.453898i | ||||
\(610\) | −11.3656 | −0.460180 | ||||||||
\(611\) | 6.64552i | 0.268849i | ||||||||
\(612\) | −2.52437 | −0.102042 | ||||||||
\(613\) | − | 18.9582i | − | 0.765713i | −0.923808 | − | 0.382856i | \(-0.874940\pi\) | ||
0.923808 | − | 0.382856i | \(-0.125060\pi\) | |||||||
\(614\) | − | 13.7215i | − | 0.553754i | ||||||
\(615\) | 6.82769 | 0.275319 | ||||||||
\(616\) | 25.0904 | + | 8.33553i | 1.01092 | + | 0.335848i | ||||
\(617\) | 0.578277 | 0.0232806 | 0.0116403 | − | 0.999932i | \(-0.496295\pi\) | ||||
0.0116403 | + | 0.999932i | \(0.496295\pi\) | |||||||
\(618\) | 7.53030i | 0.302913i | ||||||||
\(619\) | − | 15.1762i | − | 0.609985i | −0.952355 | − | 0.304992i | \(-0.901346\pi\) | ||
0.952355 | − | 0.304992i | \(-0.0986539\pi\) | |||||||
\(620\) | 0.813920 | 0.0326878 | ||||||||
\(621\) | − | 1.54754i | − | 0.0621006i | ||||||
\(622\) | 19.3473 | 0.775754 | ||||||||
\(623\) | 18.7730 | − | 29.4387i | 0.752124 | − | 1.17944i | ||||
\(624\) | 10.4276i | 0.417438i | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −15.0389 | −0.601075 | ||||||||
\(627\) | 6.78110 | − | 1.70935i | 0.270811 | − | 0.0682648i | ||||
\(628\) | 1.86014i | 0.0742275i | ||||||||
\(629\) | −63.7441 | −2.54164 | ||||||||
\(630\) | 2.87843 | + | 1.83557i | 0.114679 | + | 0.0731308i | ||||
\(631\) | 17.6744 | 0.703606 | 0.351803 | − | 0.936074i | \(-0.385569\pi\) | ||||
0.351803 | + | 0.936074i | \(0.385569\pi\) | |||||||
\(632\) | 17.4316 | 0.693391 | ||||||||
\(633\) | −20.2200 | −0.803672 | ||||||||
\(634\) | 35.6946i | 1.41761i | ||||||||
\(635\) | 4.65573 | 0.184757 | ||||||||
\(636\) | − | 3.71903i | − | 0.147469i | ||||||
\(637\) | 9.56886 | + | 20.5684i | 0.379132 | + | 0.814951i | ||||
\(638\) | −8.23658 | − | 32.6751i | −0.326089 | − | 1.29362i | ||||
\(639\) | 11.2669 | 0.445713 | ||||||||
\(640\) | 7.67569 | 0.303408 | ||||||||
\(641\) | −45.0543 | −1.77954 | −0.889768 | − | 0.456413i | \(-0.849134\pi\) | ||||
−0.889768 | + | 0.456413i | \(0.849134\pi\) | |||||||
\(642\) | − | 10.4538i | − | 0.412580i | ||||||
\(643\) | 22.7223i | 0.896081i | 0.894013 | + | 0.448040i | \(0.147878\pi\) | ||||
−0.894013 | + | 0.448040i | \(0.852122\pi\) | |||||||
\(644\) | −1.15666 | − | 0.737601i | −0.0455789 | − | 0.0290656i | ||||
\(645\) | − | 8.43887i | − | 0.332280i | ||||||
\(646\) | − | 20.4987i | − | 0.806509i | ||||||
\(647\) | 14.9728i | 0.588643i | 0.955706 | + | 0.294321i | \(0.0950936\pi\) | ||||
−0.955706 | + | 0.294321i | \(0.904906\pi\) | |||||||
\(648\) | − | 3.01298i | − | 0.118361i | ||||||
\(649\) | 30.3446 | − | 7.64912i | 1.19113 | − | 0.300254i | ||||
\(650\) | 4.18165i | 0.164018i | ||||||||
\(651\) | 5.41909 | + | 3.45574i | 0.212391 | + | 0.135441i | ||||
\(652\) | 2.86736 | 0.112294 | ||||||||
\(653\) | 21.6224 | 0.846148 | 0.423074 | − | 0.906095i | \(-0.360951\pi\) | ||||
0.423074 | + | 0.906095i | \(0.360951\pi\) | |||||||
\(654\) | − | 4.19027i | − | 0.163853i | ||||||
\(655\) | 16.7450i | 0.654279i | ||||||||
\(656\) | 21.9690 | 0.857747 | ||||||||
\(657\) | 3.80935 | 0.148617 | ||||||||
\(658\) | 5.90252 | + | 3.76403i | 0.230104 | + | 0.146737i | ||||
\(659\) | − | 21.9397i | − | 0.854650i | −0.904098 | − | 0.427325i | \(-0.859456\pi\) | ||
0.904098 | − | 0.427325i | \(-0.140544\pi\) | |||||||
\(660\) | −0.271619 | − | 1.07753i | −0.0105727 | − | 0.0419428i | ||||
\(661\) | − | 20.3773i | − | 0.792585i | −0.918124 | − | 0.396292i | \(-0.870297\pi\) | ||
0.918124 | − | 0.396292i | \(-0.129703\pi\) | |||||||
\(662\) | 12.5319i | 0.487064i | ||||||||
\(663\) | − | 24.4169i | − | 0.948273i | ||||||
\(664\) | 27.8411i | 1.08044i | ||||||||
\(665\) | 2.99952 | − | 4.70366i | 0.116316 | − | 0.182400i | ||||
\(666\) | − | 10.9168i | − | 0.423019i | ||||||
\(667\) | 12.1854i | 0.471819i | ||||||||
\(668\) | −3.73405 | −0.144475 | ||||||||
\(669\) | 17.8967 | 0.691927 | ||||||||
\(670\) | 14.2042 | 0.548756 | ||||||||
\(671\) | 7.14072 | + | 28.3277i | 0.275664 | + | 1.09358i | ||||
\(672\) | −4.18080 | − | 2.66609i | −0.161278 | − | 0.102847i | ||||
\(673\) | − | 5.51059i | − | 0.212418i | −0.994344 | − | 0.106209i | \(-0.966129\pi\) | ||
0.994344 | − | 0.106209i | \(-0.0338712\pi\) | |||||||
\(674\) | −28.4456 | −1.09568 | ||||||||
\(675\) | − | 1.00000i | − | 0.0384900i | ||||||
\(676\) | −0.836783 | −0.0321840 | ||||||||
\(677\) | −37.7218 | −1.44977 | −0.724883 | − | 0.688872i | \(-0.758106\pi\) | ||||
−0.724883 | + | 0.688872i | \(0.758106\pi\) | |||||||
\(678\) | 4.07924 | 0.156662 | ||||||||
\(679\) | 4.06581 | − | 6.37576i | 0.156031 | − | 0.244679i | ||||
\(680\) | −22.7008 | −0.870534 | ||||||||
\(681\) | − | 0.765307i | − | 0.0293266i | ||||||
\(682\) | 2.54110 | + | 10.0807i | 0.0973037 | + | 0.386010i | ||||
\(683\) | −17.7057 | −0.677488 | −0.338744 | − | 0.940879i | \(-0.610002\pi\) | ||||
−0.338744 | + | 0.940879i | \(0.610002\pi\) | |||||||
\(684\) | −0.706466 | −0.0270124 | ||||||||
\(685\) | 5.45865i | 0.208564i | ||||||||
\(686\) | 23.6886 | + | 3.15096i | 0.904434 | + | 0.120304i | ||||
\(687\) | −6.39956 | −0.244159 | ||||||||
\(688\) | − | 27.1533i | − | 1.03521i | ||||||
\(689\) | 35.9721 | 1.37043 | ||||||||
\(690\) | − | 1.99683i | − | 0.0760182i | ||||||
\(691\) | − | 32.3104i | − | 1.22914i | −0.788861 | − | 0.614572i | \(-0.789329\pi\) | ||
0.788861 | − | 0.614572i | \(-0.210671\pi\) | |||||||
\(692\) | 8.06296 | 0.306508 | ||||||||
\(693\) | 2.76654 | − | 8.32744i | 0.105092 | − | 0.316333i | ||||
\(694\) | 40.0999 | 1.52217 | ||||||||
\(695\) | − | 12.7584i | − | 0.483954i | ||||||
\(696\) | 23.7243i | 0.899268i | ||||||||
\(697\) | −51.4419 | −1.94850 | ||||||||
\(698\) | 16.8250i | 0.636834i | ||||||||
\(699\) | 4.42667 | 0.167432 | ||||||||
\(700\) | −0.747420 | − | 0.476629i | −0.0282498 | − | 0.0180149i | ||||
\(701\) | − | 39.6471i | − | 1.49745i | −0.662880 | − | 0.748726i | \(-0.730666\pi\) | ||
0.662880 | − | 0.748726i | \(-0.269334\pi\) | |||||||
\(702\) | 4.18165 | 0.157826 | ||||||||
\(703\) | −17.8393 | −0.672822 | ||||||||
\(704\) | −7.17740 | − | 28.4732i | −0.270508 | − | 1.07313i | ||||
\(705\) | − | 2.05061i | − | 0.0772303i | ||||||
\(706\) | −1.84179 | −0.0693167 | ||||||||
\(707\) | −17.1152 | − | 10.9143i | −0.643684 | − | 0.410476i | ||||
\(708\) | −3.16135 | −0.118811 | ||||||||
\(709\) | 36.2481 | 1.36133 | 0.680664 | − | 0.732596i | \(-0.261691\pi\) | ||||
0.680664 | + | 0.732596i | \(0.261691\pi\) | |||||||
\(710\) | 14.5380 | 0.545603 | ||||||||
\(711\) | − | 5.78548i | − | 0.216973i | ||||||
\(712\) | −39.7613 | −1.49012 | ||||||||
\(713\) | − | 3.75935i | − | 0.140789i | ||||||
\(714\) | −21.6870 | − | 13.8297i | −0.811614 | − | 0.517565i | ||||
\(715\) | 10.4224 | − | 2.62722i | 0.389774 | − | 0.0982524i | ||||
\(716\) | 2.61888 | 0.0978720 | ||||||||
\(717\) | −20.2965 | −0.757985 | ||||||||
\(718\) | −21.4622 | −0.800963 | ||||||||
\(719\) | − | 43.1678i | − | 1.60989i | −0.593351 | − | 0.804944i | \(-0.702196\pi\) | ||
0.593351 | − | 0.804944i | \(-0.297804\pi\) | |||||||
\(720\) | − | 3.21764i | − | 0.119914i | ||||||
\(721\) | 8.30198 | − | 13.0187i | 0.309182 | − | 0.484840i | ||||
\(722\) | 18.7795i | 0.698902i | ||||||||
\(723\) | − | 5.89463i | − | 0.219224i | ||||||
\(724\) | − | 5.61174i | − | 0.208559i | ||||||
\(725\) | 7.87403i | 0.292434i | ||||||||
\(726\) | 12.4976 | − | 6.72820i | 0.463830 | − | 0.249707i | ||||
\(727\) | 5.15755i | 0.191283i | 0.995416 | + | 0.0956414i | \(0.0304902\pi\) | ||||
−0.995416 | + | 0.0956414i | \(0.969510\pi\) | |||||||
\(728\) | 13.8904 | − | 21.7820i | 0.514811 | − | 0.807295i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 4.91532 | 0.181924 | ||||||||
\(731\) | 63.5811i | 2.35163i | ||||||||
\(732\) | − | 2.95123i | − | 0.109081i | ||||||
\(733\) | 19.8648 | 0.733723 | 0.366862 | − | 0.930276i | \(-0.380432\pi\) | ||||
0.366862 | + | 0.930276i | \(0.380432\pi\) | |||||||
\(734\) | 13.2947 | 0.490715 | ||||||||
\(735\) | −2.95266 | − | 6.34679i | −0.108911 | − | 0.234105i | ||||
\(736\) | 2.90032i | 0.106907i | ||||||||
\(737\) | −8.92413 | − | 35.4026i | −0.328725 | − | 1.30407i | ||||
\(738\) | − | 8.80996i | − | 0.324299i | ||||||
\(739\) | 34.8337i | 1.28138i | 0.767801 | + | 0.640689i | \(0.221351\pi\) | ||||
−0.767801 | + | 0.640689i | \(0.778649\pi\) | |||||||
\(740\) | 2.83470i | 0.104206i | ||||||||
\(741\) | − | 6.83326i | − | 0.251026i | ||||||
\(742\) | 20.3746 | − | 31.9502i | 0.747975 | − | 1.17293i | ||||
\(743\) | 20.3324i | 0.745925i | 0.927847 | + | 0.372962i | \(0.121658\pi\) | ||||
−0.927847 | + | 0.372962i | \(0.878342\pi\) | |||||||
\(744\) | − | 7.31928i | − | 0.268338i | ||||||
\(745\) | 13.2298 | 0.484702 | ||||||||
\(746\) | 29.5940 | 1.08351 | ||||||||
\(747\) | 9.24036 | 0.338087 | ||||||||
\(748\) | 2.04646 | + | 8.11844i | 0.0748260 | + | 0.296840i | ||||
\(749\) | −11.5251 | + | 18.0730i | −0.421118 | + | 0.660373i | ||||
\(750\) | − | 1.29033i | − | 0.0471162i | ||||||
\(751\) | −52.3490 | −1.91024 | −0.955122 | − | 0.296214i | \(-0.904276\pi\) | ||||
−0.955122 | + | 0.296214i | \(0.904276\pi\) | |||||||
\(752\) | − | 6.59811i | − | 0.240608i | ||||||
\(753\) | 7.01197 | 0.255531 | ||||||||
\(754\) | −32.9264 | −1.19911 | ||||||||
\(755\) | −3.45527 | −0.125750 | ||||||||
\(756\) | −0.476629 | + | 0.747420i | −0.0173348 | + | 0.0271834i | ||||
\(757\) | 22.2650 | 0.809234 | 0.404617 | − | 0.914486i | \(-0.367405\pi\) | ||||
0.404617 | + | 0.914486i | \(0.367405\pi\) | |||||||
\(758\) | − | 11.2704i | − | 0.409358i | ||||||
\(759\) | −4.97692 | + | 1.25456i | −0.180651 | + | 0.0455376i | ||||
\(760\) | −6.35299 | −0.230447 | ||||||||
\(761\) | 1.03316 | 0.0374519 | 0.0187259 | − | 0.999825i | \(-0.494039\pi\) | ||||
0.0187259 | + | 0.999825i | \(0.494039\pi\) | |||||||
\(762\) | − | 6.00743i | − | 0.217626i | ||||||
\(763\) | −4.61968 | + | 7.24430i | −0.167244 | + | 0.262261i | ||||
\(764\) | 7.79101 | 0.281869 | ||||||||
\(765\) | 7.53431i | 0.272404i | ||||||||
\(766\) | 20.1183 | 0.726902 | ||||||||
\(767\) | − | 30.5780i | − | 1.10411i | ||||||
\(768\) | 7.80294i | 0.281564i | ||||||||
\(769\) | −1.24342 | −0.0448388 | −0.0224194 | − | 0.999749i | \(-0.507137\pi\) | ||||
−0.0224194 | + | 0.999749i | \(0.507137\pi\) | |||||||
\(770\) | 3.56974 | − | 10.7451i | 0.128645 | − | 0.387228i | ||||
\(771\) | 29.5080 | 1.06270 | ||||||||
\(772\) | 1.38791i | 0.0499518i | ||||||||
\(773\) | 14.4812i | 0.520851i | 0.965494 | + | 0.260426i | \(0.0838628\pi\) | ||||
−0.965494 | + | 0.260426i | \(0.916137\pi\) | |||||||
\(774\) | −10.8889 | −0.391394 | ||||||||
\(775\) | − | 2.42925i | − | 0.0872611i | ||||||
\(776\) | −8.61140 | −0.309131 | ||||||||
\(777\) | −12.0356 | + | 18.8734i | −0.431773 | + | 0.677081i | ||||
\(778\) | 35.6496i | 1.27810i | ||||||||
\(779\) | −14.3964 | −0.515806 | ||||||||
\(780\) | −1.08582 | −0.0388785 | ||||||||
\(781\) | −9.13388 | − | 36.2347i | −0.326836 | − | 1.29658i | ||||
\(782\) | 15.0448i | 0.538000i | ||||||||
\(783\) | 7.87403 | 0.281395 | ||||||||
\(784\) | −9.50060 | − | 20.4217i | −0.339307 | − | 0.729346i | ||||
\(785\) | 5.55181 | 0.198153 | ||||||||
\(786\) | 21.6065 | 0.770678 | ||||||||
\(787\) | 1.64402 | 0.0586030 | 0.0293015 | − | 0.999571i | \(-0.490672\pi\) | ||||
0.0293015 | + | 0.999571i | \(0.490672\pi\) | |||||||
\(788\) | − | 0.918799i | − | 0.0327309i | ||||||
\(789\) | −3.52655 | −0.125548 | ||||||||
\(790\) | − | 7.46518i | − | 0.265599i | ||||||
\(791\) | −7.05235 | − | 4.49727i | −0.250753 | − | 0.159905i | ||||
\(792\) | −9.68982 | + | 2.44257i | −0.344313 | + | 0.0867928i | ||||
\(793\) | 28.5456 | 1.01368 | ||||||||
\(794\) | 22.7505 | 0.807385 | ||||||||
\(795\) | −11.0999 | −0.393673 | ||||||||
\(796\) | 1.32788i | 0.0470656i | ||||||||
\(797\) | 0.0492857i | 0.00174579i | 1.00000 | 0.000872894i | \(0.000277851\pi\) | |||||
−1.00000 | 0.000872894i | \(0.999722\pi\) | ||||||||
\(798\) | −6.06927 | − | 3.87036i | −0.214850 | − | 0.137009i | ||||
\(799\) | 15.4499i | 0.546578i | ||||||||
\(800\) | 1.87415i | 0.0662613i | ||||||||
\(801\) | 13.1967i | 0.466281i | ||||||||
\(802\) | 47.2014i | 1.66674i | ||||||||
\(803\) | −3.08816 | − | 12.2510i | −0.108979 | − | 0.432327i | ||||
\(804\) | 3.68830i | 0.130076i | ||||||||
\(805\) | −2.20146 | + | 3.45220i | −0.0775914 | + | 0.121674i | ||||
\(806\) | 10.1582 | 0.357809 | ||||||||
\(807\) | 6.40717 | 0.225543 | ||||||||
\(808\) | 23.1166i | 0.813241i | ||||||||
\(809\) | − | 33.3068i | − | 1.17100i | −0.810671 | − | 0.585502i | \(-0.800898\pi\) | ||
0.810671 | − | 0.585502i | \(-0.199102\pi\) | |||||||
\(810\) | −1.29033 | −0.0453375 | ||||||||
\(811\) | 27.7727 | 0.975233 | 0.487616 | − | 0.873058i | \(-0.337866\pi\) | ||||
0.487616 | + | 0.873058i | \(0.337866\pi\) | |||||||
\(812\) | 3.75299 | − | 5.88521i | 0.131704 | − | 0.206530i | ||||
\(813\) | − | 7.93034i | − | 0.278129i | ||||||
\(814\) | −35.1088 | + | 8.85007i | −1.23056 | + | 0.310195i | ||||
\(815\) | − | 8.55799i | − | 0.299773i | ||||||
\(816\) | 24.2427i | 0.848664i | ||||||||
\(817\) | 17.7937i | 0.622522i | ||||||||
\(818\) | − | 14.4123i | − | 0.503914i | ||||||
\(819\) | −7.22938 | − | 4.61017i | −0.252615 | − | 0.161092i | ||||
\(820\) | 2.28762i | 0.0798872i | ||||||||
\(821\) | − | 18.1506i | − | 0.633462i | −0.948515 | − | 0.316731i | \(-0.897415\pi\) | ||
0.948515 | − | 0.316731i | \(-0.102585\pi\) | |||||||
\(822\) | 7.04345 | 0.245669 | ||||||||
\(823\) | −23.0784 | −0.804464 | −0.402232 | − | 0.915538i | \(-0.631765\pi\) | ||||
−0.402232 | + | 0.915538i | \(0.631765\pi\) | |||||||
\(824\) | −17.5836 | −0.612555 | ||||||||
\(825\) | −3.21602 | + | 0.810680i | −0.111968 | + | 0.0282243i | ||||
\(826\) | −27.1592 | − | 17.3194i | −0.944989 | − | 0.602618i | ||||
\(827\) | 9.11996i | 0.317132i | 0.987348 | + | 0.158566i | \(0.0506871\pi\) | ||||
−0.987348 | + | 0.158566i | \(0.949313\pi\) | |||||||
\(828\) | 0.518504 | 0.0180193 | ||||||||
\(829\) | − | 30.8418i | − | 1.07118i | −0.844478 | − | 0.535590i | \(-0.820089\pi\) | ||
0.844478 | − | 0.535590i | \(-0.179911\pi\) | |||||||
\(830\) | 11.9231 | 0.413857 | ||||||||
\(831\) | 17.2769 | 0.599329 | ||||||||
\(832\) | −28.6922 | −0.994724 | ||||||||
\(833\) | 22.2463 | + | 47.8187i | 0.770787 | + | 1.65682i | ||||
\(834\) | −16.4625 | −0.570051 | ||||||||
\(835\) | 11.1447i | 0.385679i | ||||||||
\(836\) | 0.572718 | + | 2.27201i | 0.0198079 | + | 0.0785792i | ||||
\(837\) | −2.42925 | −0.0839670 | ||||||||
\(838\) | 3.47876 | 0.120172 | ||||||||
\(839\) | 33.7976i | 1.16682i | 0.812176 | + | 0.583412i | \(0.198283\pi\) | ||||
−0.812176 | + | 0.583412i | \(0.801717\pi\) | |||||||
\(840\) | −4.28614 | + | 6.72127i | −0.147886 | + | 0.231906i | ||||
\(841\) | −33.0003 | −1.13794 | ||||||||
\(842\) | − | 15.3053i | − | 0.527455i | ||||||
\(843\) | −8.40629 | −0.289528 | ||||||||
\(844\) | − | 6.77471i | − | 0.233195i | ||||||
\(845\) | 2.49748i | 0.0859160i | ||||||||
\(846\) | −2.64596 | −0.0909699 | ||||||||
\(847\) | −29.0240 | − | 2.14635i | −0.997277 | − | 0.0737495i | ||||
\(848\) | −35.7155 | −1.22647 | ||||||||
\(849\) | − | 0.434262i | − | 0.0149038i | ||||||
\(850\) | 9.72174i | 0.333453i | ||||||||
\(851\) | 13.0930 | 0.448821 | ||||||||
\(852\) | 3.77499i | 0.129329i | ||||||||
\(853\) | −29.4311 | −1.00770 | −0.503851 | − | 0.863791i | \(-0.668084\pi\) | ||||
−0.503851 | + | 0.863791i | \(0.668084\pi\) | |||||||
\(854\) | 16.1682 | − | 25.3541i | 0.553266 | − | 0.867598i | ||||
\(855\) | 2.10854i | 0.0721104i | ||||||||
\(856\) | 24.4102 | 0.834325 | ||||||||
\(857\) | 26.5683 | 0.907556 | 0.453778 | − | 0.891115i | \(-0.350076\pi\) | ||||
0.453778 | + | 0.891115i | \(0.350076\pi\) | |||||||
\(858\) | −3.38998 | − | 13.4483i | −0.115732 | − | 0.459116i | ||||
\(859\) | 45.1307i | 1.53984i | 0.638141 | + | 0.769919i | \(0.279704\pi\) | ||||
−0.638141 | + | 0.769919i | \(0.720296\pi\) | |||||||
\(860\) | 2.82745 | 0.0964152 | ||||||||
\(861\) | −9.71278 | + | 15.2310i | −0.331011 | + | 0.519071i | ||||
\(862\) | 50.4645 | 1.71883 | ||||||||
\(863\) | 12.8064 | 0.435936 | 0.217968 | − | 0.975956i | \(-0.430057\pi\) | ||||
0.217968 | + | 0.975956i | \(0.430057\pi\) | |||||||
\(864\) | 1.87415 | 0.0637600 | ||||||||
\(865\) | − | 24.0649i | − | 0.818232i | ||||||
\(866\) | −36.4469 | −1.23852 | ||||||||
\(867\) | − | 39.7658i | − | 1.35052i | ||||||
\(868\) | −1.15785 | + | 1.81567i | −0.0392999 | + | 0.0616278i | ||||
\(869\) | −18.6062 | + | 4.69018i | −0.631174 | + | 0.159103i | ||||
\(870\) | 10.1601 | 0.344459 | ||||||||
\(871\) | −35.6749 | −1.20880 | ||||||||
\(872\) | 9.78450 | 0.331345 | ||||||||
\(873\) | 2.85810i | 0.0967320i | ||||||||
\(874\) | 4.21040i | 0.142419i | ||||||||
\(875\) | −1.42256 | + | 2.23077i | −0.0480912 | + | 0.0754138i | ||||
\(876\) | 1.27632i | 0.0431230i | ||||||||
\(877\) | 51.7279i | 1.74673i | 0.487069 | + | 0.873363i | \(0.338066\pi\) | ||||
−0.487069 | + | 0.873363i | \(0.661934\pi\) | |||||||
\(878\) | 42.5268i | 1.43521i | ||||||||
\(879\) | − | 26.8651i | − | 0.906137i | ||||||
\(880\) | −10.3480 | + | 2.60848i | −0.348831 | + | 0.0879317i | ||||
\(881\) | − | 40.2889i | − | 1.35737i | −0.734430 | − | 0.678684i | \(-0.762551\pi\) | ||
0.734430 | − | 0.678684i | \(-0.237449\pi\) | |||||||
\(882\) | −8.18945 | + | 3.80990i | −0.275753 | + | 0.128286i | ||||
\(883\) | 33.6375 | 1.13199 | 0.565996 | − | 0.824408i | \(-0.308492\pi\) | ||||
0.565996 | + | 0.824408i | \(0.308492\pi\) | |||||||
\(884\) | 8.18089 | 0.275153 | ||||||||
\(885\) | 9.43543i | 0.317169i | ||||||||
\(886\) | − | 21.9282i | − | 0.736691i | ||||||
\(887\) | 27.9520 | 0.938535 | 0.469268 | − | 0.883056i | \(-0.344518\pi\) | ||||
0.469268 | + | 0.883056i | \(0.344518\pi\) | |||||||
\(888\) | 25.4914 | 0.855435 | ||||||||
\(889\) | −6.62305 | + | 10.3859i | −0.222130 | + | 0.348331i | ||||
\(890\) | 17.0280i | 0.570781i | ||||||||
\(891\) | 0.810680 | + | 3.21602i | 0.0271588 | + | 0.107741i | ||||
\(892\) | 5.99630i | 0.200771i | ||||||||
\(893\) | 4.32378i | 0.144690i | ||||||||
\(894\) | − | 17.0708i | − | 0.570932i | ||||||
\(895\) | − | 7.81636i | − | 0.261272i | ||||||
\(896\) | −10.9191 | + | 17.1227i | −0.364782 | + | 0.572029i | ||||
\(897\) | 5.01520i | 0.167453i | ||||||||
\(898\) | − | 14.2157i | − | 0.474383i | ||||||
\(899\) | 19.1279 | 0.637953 | ||||||||
\(900\) | 0.335051 | 0.0111684 | ||||||||
\(901\) | 83.6301 | 2.78612 | ||||||||
\(902\) | −28.3330 | + | 7.14206i | −0.943387 | + | 0.237805i | ||||
\(903\) | 18.8252 | + | 12.0048i | 0.626463 | + | 0.399494i | ||||
\(904\) | 9.52524i | 0.316805i | ||||||||
\(905\) | −16.7489 | −0.556753 | ||||||||
\(906\) | 4.45843i | 0.148121i | ||||||||
\(907\) | 43.8934 | 1.45746 | 0.728728 | − | 0.684804i | \(-0.240112\pi\) | ||||
0.728728 | + | 0.684804i | \(0.240112\pi\) | |||||||
\(908\) | 0.256417 | 0.00850948 | ||||||||
\(909\) | 7.67234 | 0.254476 | ||||||||
\(910\) | −9.32829 | − | 5.94863i | −0.309230 | − | 0.197195i | ||||
\(911\) | −52.1840 | −1.72893 | −0.864466 | − | 0.502690i | \(-0.832344\pi\) | ||||
−0.864466 | + | 0.502690i | \(0.832344\pi\) | |||||||
\(912\) | 6.78451i | 0.224658i | ||||||||
\(913\) | −7.49098 | − | 29.7172i | −0.247915 | − | 0.983496i | ||||
\(914\) | −7.55400 | −0.249864 | ||||||||
\(915\) | −8.80831 | −0.291194 | ||||||||
\(916\) | − | 2.14418i | − | 0.0708456i | ||||||
\(917\) | −37.3541 | − | 23.8207i | −1.23354 | − | 0.786627i | ||||
\(918\) | 9.72174 | 0.320865 | ||||||||
\(919\) | − | 41.1464i | − | 1.35730i | −0.734464 | − | 0.678648i | \(-0.762566\pi\) | ||
0.734464 | − | 0.678648i | \(-0.237434\pi\) | |||||||
\(920\) | 4.66271 | 0.153725 | ||||||||
\(921\) | − | 10.6341i | − | 0.350405i | ||||||
\(922\) | 40.2789i | 1.32651i | ||||||||
\(923\) | −36.5134 | −1.20185 | ||||||||
\(924\) | 2.79011 | + | 0.926929i | 0.0917880 | + | 0.0304937i | ||||
\(925\) | 8.46051 | 0.278180 | ||||||||
\(926\) | − | 14.2971i | − | 0.469832i | ||||||
\(927\) | 5.83595i | 0.191678i | ||||||||
\(928\) | −14.7571 | −0.484427 | ||||||||
\(929\) | − | 12.6292i | − | 0.414352i | −0.978304 | − | 0.207176i | \(-0.933573\pi\) | ||
0.978304 | − | 0.207176i | \(-0.0664272\pi\) | |||||||
\(930\) | −3.13453 | −0.102785 | ||||||||
\(931\) | 6.22579 | + | 13.3825i | 0.204042 | + | 0.438592i | ||||
\(932\) | 1.48316i | 0.0485824i | ||||||||
\(933\) | 14.9940 | 0.490883 | ||||||||
\(934\) | 20.9493 | 0.685482 | ||||||||
\(935\) | 24.2305 | − | 6.10792i | 0.792422 | − | 0.199750i | ||||
\(936\) | 9.76435i | 0.319158i | ||||||||
\(937\) | −14.8853 | −0.486282 | −0.243141 | − | 0.969991i | \(-0.578178\pi\) | ||||
−0.243141 | + | 0.969991i | \(0.578178\pi\) | |||||||
\(938\) | −20.2063 | + | 31.6863i | −0.659759 | + | 1.03459i | ||||
\(939\) | −11.6551 | −0.380349 | ||||||||
\(940\) | 0.687057 | 0.0224093 | ||||||||
\(941\) | 30.1981 | 0.984431 | 0.492216 | − | 0.870473i | \(-0.336187\pi\) | ||||
0.492216 | + | 0.870473i | \(0.336187\pi\) | |||||||
\(942\) | − | 7.16366i | − | 0.233405i | ||||||
\(943\) | 10.5661 | 0.344080 | ||||||||
\(944\) | 30.3598i | 0.988128i | ||||||||
\(945\) | 2.23077 | + | 1.42256i | 0.0725669 | + | 0.0462758i | ||||
\(946\) | 8.82744 | + | 35.0190i | 0.287005 | + | 1.13857i | ||||
\(947\) | 30.6695 | 0.996623 | 0.498312 | − | 0.866998i | \(-0.333954\pi\) | ||||
0.498312 | + | 0.866998i | \(0.333954\pi\) | |||||||
\(948\) | 1.93843 | 0.0629573 | ||||||||
\(949\) | −12.3452 | −0.400742 | ||||||||
\(950\) | 2.72071i | 0.0882714i | ||||||||
\(951\) | 27.6631i | 0.897039i | ||||||||
\(952\) | 32.2931 | − | 50.6401i | 1.04663 | − | 1.64126i | ||||
\(953\) | − | 21.4562i | − | 0.695035i | −0.937673 | − | 0.347518i | \(-0.887025\pi\) | ||
0.937673 | − | 0.347518i | \(-0.112975\pi\) | |||||||
\(954\) | 14.3225i | 0.463709i | ||||||||
\(955\) | − | 23.2532i | − | 0.752457i | ||||||
\(956\) | − | 6.80034i | − | 0.219939i | ||||||
\(957\) | −6.38332 | − | 25.3230i | −0.206343 | − | 0.818578i | ||||
\(958\) | − | 23.4467i | − | 0.757529i | ||||||
\(959\) | −12.1770 | − | 7.76524i | −0.393215 | − | 0.250753i | ||||
\(960\) | 8.85355 | 0.285747 | ||||||||
\(961\) | 25.0988 | 0.809638 | ||||||||
\(962\) | 35.3789i | 1.14066i | ||||||||
\(963\) | − | 8.10169i | − | 0.261073i | ||||||
\(964\) | 1.97500 | 0.0636104 | ||||||||
\(965\) | 4.14238 | 0.133348 | ||||||||
\(966\) | 4.45448 | + | 2.84061i | 0.143320 | + | 0.0913952i | ||||
\(967\) | 7.65175i | 0.246064i | 0.992403 | + | 0.123032i | \(0.0392617\pi\) | ||||
−0.992403 | + | 0.123032i | \(0.960738\pi\) | |||||||
\(968\) | 15.7107 | + | 29.1825i | 0.504961 | + | 0.937962i | ||||
\(969\) | − | 15.8864i | − | 0.510344i | ||||||
\(970\) | 3.68789i | 0.118411i | ||||||||
\(971\) | 33.7929i | 1.08447i | 0.840228 | + | 0.542233i | \(0.182421\pi\) | ||||
−0.840228 | + | 0.542233i | \(0.817579\pi\) | |||||||
\(972\) | − | 0.335051i | − | 0.0107468i | ||||||
\(973\) | 28.4610 | + | 18.1496i | 0.912419 | + | 0.581848i | ||||
\(974\) | − | 28.3218i | − | 0.907489i | ||||||
\(975\) | 3.24076i | 0.103787i | ||||||||
\(976\) | −28.3420 | −0.907204 | ||||||||
\(977\) | −61.1856 | −1.95750 | −0.978751 | − | 0.205052i | \(-0.934264\pi\) | ||||
−0.978751 | + | 0.205052i | \(0.934264\pi\) | |||||||
\(978\) | −11.0426 | −0.353104 | ||||||||
\(979\) | 42.4407 | − | 10.6983i | 1.35641 | − | 0.341918i | ||||
\(980\) | 2.12650 | − | 0.989290i | 0.0679284 | − | 0.0316017i | ||||
\(981\) | − | 3.24745i | − | 0.103683i | ||||||
\(982\) | 28.5455 | 0.910924 | ||||||||
\(983\) | − | 29.7824i | − | 0.949910i | −0.880010 | − | 0.474955i | \(-0.842464\pi\) | ||
0.880010 | − | 0.474955i | \(-0.157536\pi\) | |||||||
\(984\) | 20.5717 | 0.655802 | ||||||||
\(985\) | −2.74227 | −0.0873760 | ||||||||
\(986\) | −76.5493 | −2.43783 | ||||||||
\(987\) | 4.57443 | + | 2.91711i | 0.145606 | + | 0.0928525i | ||||
\(988\) | 2.28949 | 0.0728383 | ||||||||
\(989\) | − | 13.0595i | − | 0.415268i | ||||||
\(990\) | 1.04604 | + | 4.14973i | 0.0332455 | + | 0.131887i | ||||
\(991\) | −15.6237 | −0.496303 | −0.248151 | − | 0.968721i | \(-0.579823\pi\) | ||||
−0.248151 | + | 0.968721i | \(0.579823\pi\) | |||||||
\(992\) | 4.55278 | 0.144551 | ||||||||
\(993\) | 9.71214i | 0.308205i | ||||||||
\(994\) | −20.6812 | + | 32.4310i | −0.655968 | + | 1.02865i | ||||
\(995\) | 3.96323 | 0.125643 | ||||||||
\(996\) | 3.09599i | 0.0981001i | ||||||||
\(997\) | 56.0089 | 1.77382 | 0.886909 | − | 0.461943i | \(-0.152848\pi\) | ||||
0.886909 | + | 0.461943i | \(0.152848\pi\) | |||||||
\(998\) | 29.7027i | 0.940224i | ||||||||
\(999\) | − | 8.46051i | − | 0.267679i |
(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.76.11 | ✓ | 32 | |
7.6 | odd | 2 | inner | 1155.2.i.d.76.21 | yes | 32 | |
11.10 | odd | 2 | inner | 1155.2.i.d.76.22 | yes | 32 | |
77.76 | even | 2 | inner | 1155.2.i.d.76.12 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.i.d.76.11 | ✓ | 32 | 1.1 | even | 1 | trivial | |
1155.2.i.d.76.12 | yes | 32 | 77.76 | even | 2 | inner | |
1155.2.i.d.76.21 | yes | 32 | 7.6 | odd | 2 | inner | |
1155.2.i.d.76.22 | yes | 32 | 11.10 | odd | 2 | inner |