Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(694,1155)]
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, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.694");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.c (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: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 694.4 | ||
Root | \(-0.854638 - 0.854638i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1155.694 |
Dual form | 1155.2.c.c.694.3 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.539189i | 0.381264i | 0.981662 | + | 0.190632i | \(0.0610537\pi\) | ||||
−0.981662 | + | 0.190632i | \(0.938946\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 1.70928 | 0.854638 | ||||||||
\(5\) | 2.17009 | + | 0.539189i | 0.970492 | + | 0.241133i | ||||
\(6\) | 0.539189 | 0.220123 | ||||||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 2.00000i | 0.707107i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −0.290725 | + | 1.17009i | −0.0919352 | + | 0.370014i | ||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | − | 1.70928i | − | 0.493425i | ||||||
\(13\) | − | 3.17009i | − | 0.879224i | −0.898188 | − | 0.439612i | \(-0.855116\pi\) | ||
0.898188 | − | 0.439612i | \(-0.144884\pi\) | |||||||
\(14\) | 0.539189 | 0.144104 | ||||||||
\(15\) | 0.539189 | − | 2.17009i | 0.139218 | − | 0.560314i | ||||
\(16\) | 2.34017 | 0.585043 | ||||||||
\(17\) | − | 2.70928i | − | 0.657096i | −0.944487 | − | 0.328548i | \(-0.893441\pi\) | ||
0.944487 | − | 0.328548i | \(-0.106559\pi\) | |||||||
\(18\) | − | 0.539189i | − | 0.127088i | ||||||
\(19\) | 3.34017 | 0.766288 | 0.383144 | − | 0.923689i | \(-0.374841\pi\) | ||||
0.383144 | + | 0.923689i | \(0.374841\pi\) | |||||||
\(20\) | 3.70928 | + | 0.921622i | 0.829419 | + | 0.206081i | ||||
\(21\) | −1.00000 | −0.218218 | ||||||||
\(22\) | − | 0.539189i | − | 0.114955i | ||||||
\(23\) | − | 1.63090i | − | 0.340066i | −0.985438 | − | 0.170033i | \(-0.945613\pi\) | ||
0.985438 | − | 0.170033i | \(-0.0543874\pi\) | |||||||
\(24\) | 2.00000 | 0.408248 | ||||||||
\(25\) | 4.41855 | + | 2.34017i | 0.883710 | + | 0.468035i | ||||
\(26\) | 1.70928 | 0.335216 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | − | 1.70928i | − | 0.323023i | ||||||
\(29\) | −1.24846 | −0.231834 | −0.115917 | − | 0.993259i | \(-0.536981\pi\) | ||||
−0.115917 | + | 0.993259i | \(0.536981\pi\) | |||||||
\(30\) | 1.17009 | + | 0.290725i | 0.213628 | + | 0.0530788i | ||||
\(31\) | 5.21953 | 0.937456 | 0.468728 | − | 0.883343i | \(-0.344712\pi\) | ||||
0.468728 | + | 0.883343i | \(0.344712\pi\) | |||||||
\(32\) | 5.26180i | 0.930163i | ||||||||
\(33\) | 1.00000i | 0.174078i | ||||||||
\(34\) | 1.46081 | 0.250527 | ||||||||
\(35\) | 0.539189 | − | 2.17009i | 0.0911396 | − | 0.366812i | ||||
\(36\) | −1.70928 | −0.284879 | ||||||||
\(37\) | − | 3.17009i | − | 0.521159i | −0.965452 | − | 0.260580i | \(-0.916086\pi\) | ||
0.965452 | − | 0.260580i | \(-0.0839136\pi\) | |||||||
\(38\) | 1.80098i | 0.292158i | ||||||||
\(39\) | −3.17009 | −0.507620 | ||||||||
\(40\) | −1.07838 | + | 4.34017i | −0.170506 | + | 0.686242i | ||||
\(41\) | −0.829914 | −0.129611 | −0.0648054 | − | 0.997898i | \(-0.520643\pi\) | ||||
−0.0648054 | + | 0.997898i | \(0.520643\pi\) | |||||||
\(42\) | − | 0.539189i | − | 0.0831986i | ||||||
\(43\) | 1.24846i | 0.190389i | 0.995459 | + | 0.0951945i | \(0.0303473\pi\) | ||||
−0.995459 | + | 0.0951945i | \(0.969653\pi\) | |||||||
\(44\) | −1.70928 | −0.257683 | ||||||||
\(45\) | −2.17009 | − | 0.539189i | −0.323497 | − | 0.0803775i | ||||
\(46\) | 0.879362 | 0.129655 | ||||||||
\(47\) | 4.87936i | 0.711728i | 0.934538 | + | 0.355864i | \(0.115813\pi\) | ||||
−0.934538 | + | 0.355864i | \(0.884187\pi\) | |||||||
\(48\) | − | 2.34017i | − | 0.337775i | ||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −1.26180 | + | 2.38243i | −0.178445 | + | 0.336927i | ||||
\(51\) | −2.70928 | −0.379374 | ||||||||
\(52\) | − | 5.41855i | − | 0.751418i | ||||||
\(53\) | 5.92162i | 0.813397i | 0.913562 | + | 0.406699i | \(0.133320\pi\) | ||||
−0.913562 | + | 0.406699i | \(0.866680\pi\) | |||||||
\(54\) | −0.539189 | −0.0733743 | ||||||||
\(55\) | −2.17009 | − | 0.539189i | −0.292614 | − | 0.0727042i | ||||
\(56\) | 2.00000 | 0.267261 | ||||||||
\(57\) | − | 3.34017i | − | 0.442417i | ||||||
\(58\) | − | 0.673158i | − | 0.0883900i | ||||||
\(59\) | 4.46081 | 0.580748 | 0.290374 | − | 0.956913i | \(-0.406220\pi\) | ||||
0.290374 | + | 0.956913i | \(0.406220\pi\) | |||||||
\(60\) | 0.921622 | − | 3.70928i | 0.118981 | − | 0.478865i | ||||
\(61\) | −7.44748 | −0.953552 | −0.476776 | − | 0.879025i | \(-0.658195\pi\) | ||||
−0.476776 | + | 0.879025i | \(0.658195\pi\) | |||||||
\(62\) | 2.81432i | 0.357418i | ||||||||
\(63\) | 1.00000i | 0.125988i | ||||||||
\(64\) | 1.84324 | 0.230406 | ||||||||
\(65\) | 1.70928 | − | 6.87936i | 0.212010 | − | 0.853280i | ||||
\(66\) | −0.539189 | −0.0663696 | ||||||||
\(67\) | − | 2.00000i | − | 0.244339i | −0.992509 | − | 0.122169i | \(-0.961015\pi\) | ||
0.992509 | − | 0.122169i | \(-0.0389851\pi\) | |||||||
\(68\) | − | 4.63090i | − | 0.561579i | ||||||
\(69\) | −1.63090 | −0.196337 | ||||||||
\(70\) | 1.17009 | + | 0.290725i | 0.139852 | + | 0.0347482i | ||||
\(71\) | −11.6670 | −1.38462 | −0.692310 | − | 0.721600i | \(-0.743407\pi\) | ||||
−0.692310 | + | 0.721600i | \(0.743407\pi\) | |||||||
\(72\) | − | 2.00000i | − | 0.235702i | ||||||
\(73\) | − | 6.92162i | − | 0.810115i | −0.914291 | − | 0.405057i | \(-0.867252\pi\) | ||
0.914291 | − | 0.405057i | \(-0.132748\pi\) | |||||||
\(74\) | 1.70928 | 0.198699 | ||||||||
\(75\) | 2.34017 | − | 4.41855i | 0.270220 | − | 0.510210i | ||||
\(76\) | 5.70928 | 0.654899 | ||||||||
\(77\) | 1.00000i | 0.113961i | ||||||||
\(78\) | − | 1.70928i | − | 0.193537i | ||||||
\(79\) | −9.21953 | −1.03728 | −0.518639 | − | 0.854993i | \(-0.673561\pi\) | ||||
−0.518639 | + | 0.854993i | \(0.673561\pi\) | |||||||
\(80\) | 5.07838 | + | 1.26180i | 0.567780 | + | 0.141073i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 0.447480i | − | 0.0494159i | ||||||
\(83\) | 15.0494i | 1.65189i | 0.563750 | + | 0.825946i | \(0.309358\pi\) | ||||
−0.563750 | + | 0.825946i | \(0.690642\pi\) | |||||||
\(84\) | −1.70928 | −0.186497 | ||||||||
\(85\) | 1.46081 | − | 5.87936i | 0.158447 | − | 0.637706i | ||||
\(86\) | −0.673158 | −0.0725885 | ||||||||
\(87\) | 1.24846i | 0.133849i | ||||||||
\(88\) | − | 2.00000i | − | 0.213201i | ||||||
\(89\) | 11.4319 | 1.21178 | 0.605889 | − | 0.795550i | \(-0.292818\pi\) | ||||
0.605889 | + | 0.795550i | \(0.292818\pi\) | |||||||
\(90\) | 0.290725 | − | 1.17009i | 0.0306451 | − | 0.123338i | ||||
\(91\) | −3.17009 | −0.332315 | ||||||||
\(92\) | − | 2.78765i | − | 0.290633i | ||||||
\(93\) | − | 5.21953i | − | 0.541241i | ||||||
\(94\) | −2.63090 | −0.271356 | ||||||||
\(95\) | 7.24846 | + | 1.80098i | 0.743677 | + | 0.184777i | ||||
\(96\) | 5.26180 | 0.537030 | ||||||||
\(97\) | − | 4.32684i | − | 0.439324i | −0.975576 | − | 0.219662i | \(-0.929505\pi\) | ||
0.975576 | − | 0.219662i | \(-0.0704955\pi\) | |||||||
\(98\) | − | 0.539189i | − | 0.0544663i | ||||||
\(99\) | 1.00000 | 0.100504 | ||||||||
\(100\) | 7.55252 | + | 4.00000i | 0.755252 | + | 0.400000i | ||||
\(101\) | 2.68035 | 0.266704 | 0.133352 | − | 0.991069i | \(-0.457426\pi\) | ||||
0.133352 | + | 0.991069i | \(0.457426\pi\) | |||||||
\(102\) | − | 1.46081i | − | 0.144642i | ||||||
\(103\) | 9.00719i | 0.887505i | 0.896149 | + | 0.443752i | \(0.146353\pi\) | ||||
−0.896149 | + | 0.443752i | \(0.853647\pi\) | |||||||
\(104\) | 6.34017 | 0.621705 | ||||||||
\(105\) | −2.17009 | − | 0.539189i | −0.211779 | − | 0.0526194i | ||||
\(106\) | −3.19287 | −0.310119 | ||||||||
\(107\) | − | 9.80098i | − | 0.947497i | −0.880660 | − | 0.473748i | \(-0.842901\pi\) | ||
0.880660 | − | 0.473748i | \(-0.157099\pi\) | |||||||
\(108\) | 1.70928i | 0.164475i | ||||||||
\(109\) | 12.2979 | 1.17793 | 0.588963 | − | 0.808160i | \(-0.299536\pi\) | ||||
0.588963 | + | 0.808160i | \(0.299536\pi\) | |||||||
\(110\) | 0.290725 | − | 1.17009i | 0.0277195 | − | 0.111563i | ||||
\(111\) | −3.17009 | −0.300891 | ||||||||
\(112\) | − | 2.34017i | − | 0.221126i | ||||||
\(113\) | 12.8660i | 1.21033i | 0.796098 | + | 0.605167i | \(0.206894\pi\) | ||||
−0.796098 | + | 0.605167i | \(0.793106\pi\) | |||||||
\(114\) | 1.80098 | 0.168678 | ||||||||
\(115\) | 0.879362 | − | 3.53919i | 0.0820009 | − | 0.330031i | ||||
\(116\) | −2.13397 | −0.198134 | ||||||||
\(117\) | 3.17009i | 0.293075i | ||||||||
\(118\) | 2.40522i | 0.221418i | ||||||||
\(119\) | −2.70928 | −0.248359 | ||||||||
\(120\) | 4.34017 | + | 1.07838i | 0.396202 | + | 0.0984420i | ||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | − | 4.01560i | − | 0.363555i | ||||||
\(123\) | 0.829914i | 0.0748308i | ||||||||
\(124\) | 8.92162 | 0.801185 | ||||||||
\(125\) | 8.32684 | + | 7.46081i | 0.744775 | + | 0.667315i | ||||
\(126\) | −0.539189 | −0.0480348 | ||||||||
\(127\) | − | 7.14116i | − | 0.633675i | −0.948480 | − | 0.316838i | \(-0.897379\pi\) | ||
0.948480 | − | 0.316838i | \(-0.102621\pi\) | |||||||
\(128\) | 11.5174i | 1.01801i | ||||||||
\(129\) | 1.24846 | 0.109921 | ||||||||
\(130\) | 3.70928 | + | 0.921622i | 0.325325 | + | 0.0808316i | ||||
\(131\) | −2.09171 | −0.182753 | −0.0913767 | − | 0.995816i | \(-0.529127\pi\) | ||||
−0.0913767 | + | 0.995816i | \(0.529127\pi\) | |||||||
\(132\) | 1.70928i | 0.148773i | ||||||||
\(133\) | − | 3.34017i | − | 0.289630i | ||||||
\(134\) | 1.07838 | 0.0931576 | ||||||||
\(135\) | −0.539189 | + | 2.17009i | −0.0464060 | + | 0.186771i | ||||
\(136\) | 5.41855 | 0.464637 | ||||||||
\(137\) | 11.2846i | 0.964107i | 0.876142 | + | 0.482053i | \(0.160109\pi\) | ||||
−0.876142 | + | 0.482053i | \(0.839891\pi\) | |||||||
\(138\) | − | 0.879362i | − | 0.0748563i | ||||||
\(139\) | −19.9916 | −1.69566 | −0.847832 | − | 0.530265i | \(-0.822093\pi\) | ||||
−0.847832 | + | 0.530265i | \(0.822093\pi\) | |||||||
\(140\) | 0.921622 | − | 3.70928i | 0.0778913 | − | 0.313491i | ||||
\(141\) | 4.87936 | 0.410916 | ||||||||
\(142\) | − | 6.29072i | − | 0.527906i | ||||||
\(143\) | 3.17009i | 0.265096i | ||||||||
\(144\) | −2.34017 | −0.195014 | ||||||||
\(145\) | −2.70928 | − | 0.673158i | −0.224993 | − | 0.0559027i | ||||
\(146\) | 3.73206 | 0.308868 | ||||||||
\(147\) | 1.00000i | 0.0824786i | ||||||||
\(148\) | − | 5.41855i | − | 0.445402i | ||||||
\(149\) | −10.0000 | −0.819232 | −0.409616 | − | 0.912258i | \(-0.634337\pi\) | ||||
−0.409616 | + | 0.912258i | \(0.634337\pi\) | |||||||
\(150\) | 2.38243 | + | 1.26180i | 0.194525 | + | 0.103025i | ||||
\(151\) | −3.26180 | −0.265441 | −0.132721 | − | 0.991153i | \(-0.542371\pi\) | ||||
−0.132721 | + | 0.991153i | \(0.542371\pi\) | |||||||
\(152\) | 6.68035i | 0.541848i | ||||||||
\(153\) | 2.70928i | 0.219032i | ||||||||
\(154\) | −0.539189 | −0.0434491 | ||||||||
\(155\) | 11.3268 | + | 2.81432i | 0.909794 | + | 0.226051i | ||||
\(156\) | −5.41855 | −0.433831 | ||||||||
\(157\) | − | 8.06278i | − | 0.643480i | −0.946828 | − | 0.321740i | \(-0.895732\pi\) | ||
0.946828 | − | 0.321740i | \(-0.104268\pi\) | |||||||
\(158\) | − | 4.97107i | − | 0.395477i | ||||||
\(159\) | 5.92162 | 0.469615 | ||||||||
\(160\) | −2.83710 | + | 11.4186i | −0.224293 | + | 0.902716i | ||||
\(161\) | −1.63090 | −0.128533 | ||||||||
\(162\) | 0.539189i | 0.0423627i | ||||||||
\(163\) | − | 3.17009i | − | 0.248300i | −0.992263 | − | 0.124150i | \(-0.960380\pi\) | ||
0.992263 | − | 0.124150i | \(-0.0396205\pi\) | |||||||
\(164\) | −1.41855 | −0.110770 | ||||||||
\(165\) | −0.539189 | + | 2.17009i | −0.0419758 | + | 0.168941i | ||||
\(166\) | −8.11450 | −0.629807 | ||||||||
\(167\) | 4.20620i | 0.325486i | 0.986669 | + | 0.162743i | \(0.0520341\pi\) | ||||
−0.986669 | + | 0.162743i | \(0.947966\pi\) | |||||||
\(168\) | − | 2.00000i | − | 0.154303i | ||||||
\(169\) | 2.95055 | 0.226966 | ||||||||
\(170\) | 3.17009 | + | 0.787653i | 0.243135 | + | 0.0604102i | ||||
\(171\) | −3.34017 | −0.255429 | ||||||||
\(172\) | 2.13397i | 0.162714i | ||||||||
\(173\) | − | 2.65756i | − | 0.202051i | −0.994884 | − | 0.101025i | \(-0.967788\pi\) | ||
0.994884 | − | 0.101025i | \(-0.0322123\pi\) | |||||||
\(174\) | −0.673158 | −0.0510320 | ||||||||
\(175\) | 2.34017 | − | 4.41855i | 0.176900 | − | 0.334011i | ||||
\(176\) | −2.34017 | −0.176397 | ||||||||
\(177\) | − | 4.46081i | − | 0.335295i | ||||||
\(178\) | 6.16394i | 0.462007i | ||||||||
\(179\) | −19.3679 | −1.44762 | −0.723812 | − | 0.689998i | \(-0.757612\pi\) | ||||
−0.723812 | + | 0.689998i | \(0.757612\pi\) | |||||||
\(180\) | −3.70928 | − | 0.921622i | −0.276473 | − | 0.0686937i | ||||
\(181\) | −10.7070 | −0.795846 | −0.397923 | − | 0.917419i | \(-0.630269\pi\) | ||||
−0.397923 | + | 0.917419i | \(0.630269\pi\) | |||||||
\(182\) | − | 1.70928i | − | 0.126700i | ||||||
\(183\) | 7.44748i | 0.550534i | ||||||||
\(184\) | 3.26180 | 0.240463 | ||||||||
\(185\) | 1.70928 | − | 6.87936i | 0.125668 | − | 0.505781i | ||||
\(186\) | 2.81432 | 0.206356 | ||||||||
\(187\) | 2.70928i | 0.198122i | ||||||||
\(188\) | 8.34017i | 0.608270i | ||||||||
\(189\) | 1.00000 | 0.0727393 | ||||||||
\(190\) | −0.971071 | + | 3.90829i | −0.0704489 | + | 0.283537i | ||||
\(191\) | −18.6225 | −1.34748 | −0.673738 | − | 0.738970i | \(-0.735312\pi\) | ||||
−0.673738 | + | 0.738970i | \(0.735312\pi\) | |||||||
\(192\) | − | 1.84324i | − | 0.133025i | ||||||
\(193\) | − | 14.7792i | − | 1.06383i | −0.846797 | − | 0.531917i | \(-0.821472\pi\) | ||
0.846797 | − | 0.531917i | \(-0.178528\pi\) | |||||||
\(194\) | 2.33299 | 0.167499 | ||||||||
\(195\) | −6.87936 | − | 1.70928i | −0.492641 | − | 0.122404i | ||||
\(196\) | −1.70928 | −0.122091 | ||||||||
\(197\) | − | 19.0928i | − | 1.36030i | −0.733072 | − | 0.680151i | \(-0.761914\pi\) | ||
0.733072 | − | 0.680151i | \(-0.238086\pi\) | |||||||
\(198\) | 0.539189i | 0.0383185i | ||||||||
\(199\) | 24.4391 | 1.73244 | 0.866220 | − | 0.499663i | \(-0.166543\pi\) | ||||
0.866220 | + | 0.499663i | \(0.166543\pi\) | |||||||
\(200\) | −4.68035 | + | 8.83710i | −0.330950 | + | 0.624877i | ||||
\(201\) | −2.00000 | −0.141069 | ||||||||
\(202\) | 1.44521i | 0.101685i | ||||||||
\(203\) | 1.24846i | 0.0876250i | ||||||||
\(204\) | −4.63090 | −0.324228 | ||||||||
\(205\) | −1.80098 | − | 0.447480i | −0.125786 | − | 0.0312534i | ||||
\(206\) | −4.85658 | −0.338374 | ||||||||
\(207\) | 1.63090i | 0.113355i | ||||||||
\(208\) | − | 7.41855i | − | 0.514384i | ||||||
\(209\) | −3.34017 | −0.231045 | ||||||||
\(210\) | 0.290725 | − | 1.17009i | 0.0200619 | − | 0.0807436i | ||||
\(211\) | −22.2557 | −1.53214 | −0.766071 | − | 0.642756i | \(-0.777791\pi\) | ||||
−0.766071 | + | 0.642756i | \(0.777791\pi\) | |||||||
\(212\) | 10.1217i | 0.695160i | ||||||||
\(213\) | 11.6670i | 0.799411i | ||||||||
\(214\) | 5.28458 | 0.361247 | ||||||||
\(215\) | −0.673158 | + | 2.70928i | −0.0459090 | + | 0.184771i | ||||
\(216\) | −2.00000 | −0.136083 | ||||||||
\(217\) | − | 5.21953i | − | 0.354325i | ||||||
\(218\) | 6.63090i | 0.449101i | ||||||||
\(219\) | −6.92162 | −0.467720 | ||||||||
\(220\) | −3.70928 | − | 0.921622i | −0.250079 | − | 0.0621358i | ||||
\(221\) | −8.58864 | −0.577734 | ||||||||
\(222\) | − | 1.70928i | − | 0.114719i | ||||||
\(223\) | 24.1845i | 1.61951i | 0.586767 | + | 0.809756i | \(0.300400\pi\) | ||||
−0.586767 | + | 0.809756i | \(0.699600\pi\) | |||||||
\(224\) | 5.26180 | 0.351568 | ||||||||
\(225\) | −4.41855 | − | 2.34017i | −0.294570 | − | 0.156012i | ||||
\(226\) | −6.93722 | −0.461457 | ||||||||
\(227\) | 25.9360i | 1.72143i | 0.509085 | + | 0.860716i | \(0.329984\pi\) | ||||
−0.509085 | + | 0.860716i | \(0.670016\pi\) | |||||||
\(228\) | − | 5.70928i | − | 0.378106i | ||||||
\(229\) | −0.937221 | −0.0619333 | −0.0309666 | − | 0.999520i | \(-0.509859\pi\) | ||||
−0.0309666 | + | 0.999520i | \(0.509859\pi\) | |||||||
\(230\) | 1.90829 | + | 0.474142i | 0.125829 | + | 0.0312640i | ||||
\(231\) | 1.00000 | 0.0657952 | ||||||||
\(232\) | − | 2.49693i | − | 0.163931i | ||||||
\(233\) | − | 17.4752i | − | 1.14484i | −0.819961 | − | 0.572419i | \(-0.806005\pi\) | ||
0.819961 | − | 0.572419i | \(-0.193995\pi\) | |||||||
\(234\) | −1.70928 | −0.111739 | ||||||||
\(235\) | −2.63090 | + | 10.5886i | −0.171621 | + | 0.690727i | ||||
\(236\) | 7.62475 | 0.496329 | ||||||||
\(237\) | 9.21953i | 0.598873i | ||||||||
\(238\) | − | 1.46081i | − | 0.0946903i | ||||||
\(239\) | −13.0423 | −0.843634 | −0.421817 | − | 0.906681i | \(-0.638607\pi\) | ||||
−0.421817 | + | 0.906681i | \(0.638607\pi\) | |||||||
\(240\) | 1.26180 | − | 5.07838i | 0.0814485 | − | 0.327808i | ||||
\(241\) | −18.6042 | −1.19840 | −0.599202 | − | 0.800598i | \(-0.704515\pi\) | ||||
−0.599202 | + | 0.800598i | \(0.704515\pi\) | |||||||
\(242\) | 0.539189i | 0.0346604i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −12.7298 | −0.814942 | ||||||||
\(245\) | −2.17009 | − | 0.539189i | −0.138642 | − | 0.0344475i | ||||
\(246\) | −0.447480 | −0.0285303 | ||||||||
\(247\) | − | 10.5886i | − | 0.673739i | ||||||
\(248\) | 10.4391i | 0.662882i | ||||||||
\(249\) | 15.0494 | 0.953720 | ||||||||
\(250\) | −4.02279 | + | 4.48974i | −0.254423 | + | 0.283956i | ||||
\(251\) | −2.21008 | −0.139499 | −0.0697495 | − | 0.997565i | \(-0.522220\pi\) | ||||
−0.0697495 | + | 0.997565i | \(0.522220\pi\) | |||||||
\(252\) | 1.70928i | 0.107674i | ||||||||
\(253\) | 1.63090i | 0.102534i | ||||||||
\(254\) | 3.85043 | 0.241598 | ||||||||
\(255\) | −5.87936 | − | 1.46081i | −0.368180 | − | 0.0914795i | ||||
\(256\) | −2.52359 | −0.157724 | ||||||||
\(257\) | − | 1.20516i | − | 0.0751758i | −0.999293 | − | 0.0375879i | \(-0.988033\pi\) | ||
0.999293 | − | 0.0375879i | \(-0.0119674\pi\) | |||||||
\(258\) | 0.673158i | 0.0419090i | ||||||||
\(259\) | −3.17009 | −0.196980 | ||||||||
\(260\) | 2.92162 | − | 11.7587i | 0.181191 | − | 0.729245i | ||||
\(261\) | 1.24846 | 0.0772780 | ||||||||
\(262\) | − | 1.12783i | − | 0.0696773i | ||||||
\(263\) | 11.8432i | 0.730286i | 0.930951 | + | 0.365143i | \(0.118980\pi\) | ||||
−0.930951 | + | 0.365143i | \(0.881020\pi\) | |||||||
\(264\) | −2.00000 | −0.123091 | ||||||||
\(265\) | −3.19287 | + | 12.8504i | −0.196137 | + | 0.789396i | ||||
\(266\) | 1.80098 | 0.110425 | ||||||||
\(267\) | − | 11.4319i | − | 0.699620i | ||||||
\(268\) | − | 3.41855i | − | 0.208821i | ||||||
\(269\) | 23.5802 | 1.43771 | 0.718856 | − | 0.695159i | \(-0.244666\pi\) | ||||
0.718856 | + | 0.695159i | \(0.244666\pi\) | |||||||
\(270\) | −1.17009 | − | 0.290725i | −0.0712092 | − | 0.0176929i | ||||
\(271\) | −9.99773 | −0.607319 | −0.303660 | − | 0.952781i | \(-0.598209\pi\) | ||||
−0.303660 | + | 0.952781i | \(0.598209\pi\) | |||||||
\(272\) | − | 6.34017i | − | 0.384429i | ||||||
\(273\) | 3.17009i | 0.191862i | ||||||||
\(274\) | −6.08452 | −0.367579 | ||||||||
\(275\) | −4.41855 | − | 2.34017i | −0.266449 | − | 0.141118i | ||||
\(276\) | −2.78765 | −0.167797 | ||||||||
\(277\) | 29.8660i | 1.79448i | 0.441547 | + | 0.897238i | \(0.354430\pi\) | ||||
−0.441547 | + | 0.897238i | \(0.645570\pi\) | |||||||
\(278\) | − | 10.7792i | − | 0.646496i | ||||||
\(279\) | −5.21953 | −0.312485 | ||||||||
\(280\) | 4.34017 | + | 1.07838i | 0.259375 | + | 0.0644454i | ||||
\(281\) | −17.8660 | −1.06580 | −0.532899 | − | 0.846179i | \(-0.678897\pi\) | ||||
−0.532899 | + | 0.846179i | \(0.678897\pi\) | |||||||
\(282\) | 2.63090i | 0.156668i | ||||||||
\(283\) | 4.56198i | 0.271181i | 0.990765 | + | 0.135591i | \(0.0432932\pi\) | ||||
−0.990765 | + | 0.135591i | \(0.956707\pi\) | |||||||
\(284\) | −19.9421 | −1.18335 | ||||||||
\(285\) | 1.80098 | − | 7.24846i | 0.106681 | − | 0.429362i | ||||
\(286\) | −1.70928 | −0.101072 | ||||||||
\(287\) | 0.829914i | 0.0489882i | ||||||||
\(288\) | − | 5.26180i | − | 0.310054i | ||||||
\(289\) | 9.65983 | 0.568225 | ||||||||
\(290\) | 0.362959 | − | 1.46081i | 0.0213137 | − | 0.0857818i | ||||
\(291\) | −4.32684 | −0.253644 | ||||||||
\(292\) | − | 11.8310i | − | 0.692354i | ||||||
\(293\) | 15.0144i | 0.877149i | 0.898695 | + | 0.438575i | \(0.144517\pi\) | ||||
−0.898695 | + | 0.438575i | \(0.855483\pi\) | |||||||
\(294\) | −0.539189 | −0.0314461 | ||||||||
\(295\) | 9.68035 | + | 2.40522i | 0.563612 | + | 0.140037i | ||||
\(296\) | 6.34017 | 0.368515 | ||||||||
\(297\) | − | 1.00000i | − | 0.0580259i | ||||||
\(298\) | − | 5.39189i | − | 0.312344i | ||||||
\(299\) | −5.17009 | −0.298994 | ||||||||
\(300\) | 4.00000 | − | 7.55252i | 0.230940 | − | 0.436045i | ||||
\(301\) | 1.24846 | 0.0719603 | ||||||||
\(302\) | − | 1.75872i | − | 0.101203i | ||||||
\(303\) | − | 2.68035i | − | 0.153982i | ||||||
\(304\) | 7.81658 | 0.448312 | ||||||||
\(305\) | −16.1617 | − | 4.01560i | −0.925415 | − | 0.229932i | ||||
\(306\) | −1.46081 | −0.0835090 | ||||||||
\(307\) | 20.6537i | 1.17877i | 0.807853 | + | 0.589384i | \(0.200629\pi\) | ||||
−0.807853 | + | 0.589384i | \(0.799371\pi\) | |||||||
\(308\) | 1.70928i | 0.0973950i | ||||||||
\(309\) | 9.00719 | 0.512401 | ||||||||
\(310\) | −1.51745 | + | 6.10731i | −0.0861852 | + | 0.346872i | ||||
\(311\) | −23.1506 | −1.31275 | −0.656375 | − | 0.754434i | \(-0.727911\pi\) | ||||
−0.656375 | + | 0.754434i | \(0.727911\pi\) | |||||||
\(312\) | − | 6.34017i | − | 0.358942i | ||||||
\(313\) | − | 25.9516i | − | 1.46687i | −0.679759 | − | 0.733435i | \(-0.737916\pi\) | ||
0.679759 | − | 0.733435i | \(-0.262084\pi\) | |||||||
\(314\) | 4.34736 | 0.245336 | ||||||||
\(315\) | −0.539189 | + | 2.17009i | −0.0303799 | + | 0.122271i | ||||
\(316\) | −15.7587 | −0.886497 | ||||||||
\(317\) | − | 7.06997i | − | 0.397089i | −0.980092 | − | 0.198544i | \(-0.936379\pi\) | ||
0.980092 | − | 0.198544i | \(-0.0636214\pi\) | |||||||
\(318\) | 3.19287i | 0.179047i | ||||||||
\(319\) | 1.24846 | 0.0699006 | ||||||||
\(320\) | 4.00000 | + | 0.993857i | 0.223607 | + | 0.0555583i | ||||
\(321\) | −9.80098 | −0.547038 | ||||||||
\(322\) | − | 0.879362i | − | 0.0490049i | ||||||
\(323\) | − | 9.04945i | − | 0.503525i | ||||||
\(324\) | 1.70928 | 0.0949597 | ||||||||
\(325\) | 7.41855 | − | 14.0072i | 0.411507 | − | 0.776979i | ||||
\(326\) | 1.70928 | 0.0946680 | ||||||||
\(327\) | − | 12.2979i | − | 0.680076i | ||||||
\(328\) | − | 1.65983i | − | 0.0916486i | ||||||
\(329\) | 4.87936 | 0.269008 | ||||||||
\(330\) | −1.17009 | − | 0.290725i | −0.0644111 | − | 0.0160039i | ||||
\(331\) | 1.26794 | 0.0696922 | 0.0348461 | − | 0.999393i | \(-0.488906\pi\) | ||||
0.0348461 | + | 0.999393i | \(0.488906\pi\) | |||||||
\(332\) | 25.7237i | 1.41177i | ||||||||
\(333\) | 3.17009i | 0.173720i | ||||||||
\(334\) | −2.26794 | −0.124096 | ||||||||
\(335\) | 1.07838 | − | 4.34017i | 0.0589181 | − | 0.237129i | ||||
\(336\) | −2.34017 | −0.127667 | ||||||||
\(337\) | − | 2.51026i | − | 0.136743i | −0.997660 | − | 0.0683713i | \(-0.978220\pi\) | ||
0.997660 | − | 0.0683713i | \(-0.0217802\pi\) | |||||||
\(338\) | 1.59090i | 0.0865338i | ||||||||
\(339\) | 12.8660 | 0.698787 | ||||||||
\(340\) | 2.49693 | − | 10.0494i | 0.135415 | − | 0.545008i | ||||
\(341\) | −5.21953 | −0.282654 | ||||||||
\(342\) | − | 1.80098i | − | 0.0973861i | ||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | −2.49693 | −0.134625 | ||||||||
\(345\) | −3.53919 | − | 0.879362i | −0.190544 | − | 0.0473433i | ||||
\(346\) | 1.43293 | 0.0770346 | ||||||||
\(347\) | − | 1.68649i | − | 0.0905355i | −0.998975 | − | 0.0452677i | \(-0.985586\pi\) | ||
0.998975 | − | 0.0452677i | \(-0.0144141\pi\) | |||||||
\(348\) | 2.13397i | 0.114393i | ||||||||
\(349\) | 33.5113 | 1.79382 | 0.896909 | − | 0.442214i | \(-0.145807\pi\) | ||||
0.896909 | + | 0.442214i | \(0.145807\pi\) | |||||||
\(350\) | 2.38243 | + | 1.26180i | 0.127346 | + | 0.0674458i | ||||
\(351\) | 3.17009 | 0.169207 | ||||||||
\(352\) | − | 5.26180i | − | 0.280455i | ||||||
\(353\) | 1.86991i | 0.0995251i | 0.998761 | + | 0.0497625i | \(0.0158465\pi\) | ||||
−0.998761 | + | 0.0497625i | \(0.984154\pi\) | |||||||
\(354\) | 2.40522 | 0.127836 | ||||||||
\(355\) | −25.3184 | − | 6.29072i | −1.34376 | − | 0.333877i | ||||
\(356\) | 19.5402 | 1.03563 | ||||||||
\(357\) | 2.70928i | 0.143390i | ||||||||
\(358\) | − | 10.4429i | − | 0.551927i | ||||||
\(359\) | −1.98667 | −0.104852 | −0.0524262 | − | 0.998625i | \(-0.516695\pi\) | ||||
−0.0524262 | + | 0.998625i | \(0.516695\pi\) | |||||||
\(360\) | 1.07838 | − | 4.34017i | 0.0568355 | − | 0.228747i | ||||
\(361\) | −7.84324 | −0.412802 | ||||||||
\(362\) | − | 5.77310i | − | 0.303427i | ||||||
\(363\) | − | 1.00000i | − | 0.0524864i | ||||||
\(364\) | −5.41855 | −0.284009 | ||||||||
\(365\) | 3.73206 | − | 15.0205i | 0.195345 | − | 0.786210i | ||||
\(366\) | −4.01560 | −0.209899 | ||||||||
\(367\) | 29.0300i | 1.51535i | 0.652631 | + | 0.757676i | \(0.273665\pi\) | ||||
−0.652631 | + | 0.757676i | \(0.726335\pi\) | |||||||
\(368\) | − | 3.81658i | − | 0.198953i | ||||||
\(369\) | 0.829914 | 0.0432036 | ||||||||
\(370\) | 3.70928 | + | 0.921622i | 0.192836 | + | 0.0479129i | ||||
\(371\) | 5.92162 | 0.307435 | ||||||||
\(372\) | − | 8.92162i | − | 0.462565i | ||||||
\(373\) | − | 21.6381i | − | 1.12038i | −0.828365 | − | 0.560189i | \(-0.810729\pi\) | ||
0.828365 | − | 0.560189i | \(-0.189271\pi\) | |||||||
\(374\) | −1.46081 | −0.0755367 | ||||||||
\(375\) | 7.46081 | − | 8.32684i | 0.385275 | − | 0.429996i | ||||
\(376\) | −9.75872 | −0.503268 | ||||||||
\(377\) | 3.95774i | 0.203834i | ||||||||
\(378\) | 0.539189i | 0.0277329i | ||||||||
\(379\) | −11.4163 | −0.586415 | −0.293208 | − | 0.956049i | \(-0.594723\pi\) | ||||
−0.293208 | + | 0.956049i | \(0.594723\pi\) | |||||||
\(380\) | 12.3896 | + | 3.07838i | 0.635574 | + | 0.157917i | ||||
\(381\) | −7.14116 | −0.365853 | ||||||||
\(382\) | − | 10.0410i | − | 0.513744i | ||||||
\(383\) | − | 17.8010i | − | 0.909588i | −0.890597 | − | 0.454794i | \(-0.849713\pi\) | ||
0.890597 | − | 0.454794i | \(-0.150287\pi\) | |||||||
\(384\) | 11.5174 | 0.587747 | ||||||||
\(385\) | −0.539189 | + | 2.17009i | −0.0274796 | + | 0.110598i | ||||
\(386\) | 7.96880 | 0.405601 | ||||||||
\(387\) | − | 1.24846i | − | 0.0634630i | ||||||
\(388\) | − | 7.39576i | − | 0.375463i | ||||||
\(389\) | −17.7659 | −0.900767 | −0.450384 | − | 0.892835i | \(-0.648713\pi\) | ||||
−0.450384 | + | 0.892835i | \(0.648713\pi\) | |||||||
\(390\) | 0.921622 | − | 3.70928i | 0.0466682 | − | 0.187826i | ||||
\(391\) | −4.41855 | −0.223456 | ||||||||
\(392\) | − | 2.00000i | − | 0.101015i | ||||||
\(393\) | 2.09171i | 0.105513i | ||||||||
\(394\) | 10.2946 | 0.518634 | ||||||||
\(395\) | −20.0072 | − | 4.97107i | −1.00667 | − | 0.250122i | ||||
\(396\) | 1.70928 | 0.0858943 | ||||||||
\(397\) | − | 12.2907i | − | 0.616854i | −0.951248 | − | 0.308427i | \(-0.900197\pi\) | ||
0.951248 | − | 0.308427i | \(-0.0998025\pi\) | |||||||
\(398\) | 13.1773i | 0.660517i | ||||||||
\(399\) | −3.34017 | −0.167218 | ||||||||
\(400\) | 10.3402 | + | 5.47641i | 0.517009 | + | 0.273820i | ||||
\(401\) | 8.79872 | 0.439387 | 0.219693 | − | 0.975569i | \(-0.429494\pi\) | ||||
0.219693 | + | 0.975569i | \(0.429494\pi\) | |||||||
\(402\) | − | 1.07838i | − | 0.0537846i | ||||||
\(403\) | − | 16.5464i | − | 0.824234i | ||||||
\(404\) | 4.58145 | 0.227936 | ||||||||
\(405\) | 2.17009 | + | 0.539189i | 0.107832 | + | 0.0267925i | ||||
\(406\) | −0.673158 | −0.0334083 | ||||||||
\(407\) | 3.17009i | 0.157135i | ||||||||
\(408\) | − | 5.41855i | − | 0.268258i | ||||||
\(409\) | −7.65142 | −0.378338 | −0.189169 | − | 0.981945i | \(-0.560579\pi\) | ||||
−0.189169 | + | 0.981945i | \(0.560579\pi\) | |||||||
\(410\) | 0.241276 | − | 0.971071i | 0.0119158 | − | 0.0479578i | ||||
\(411\) | 11.2846 | 0.556627 | ||||||||
\(412\) | 15.3958i | 0.758495i | ||||||||
\(413\) | − | 4.46081i | − | 0.219502i | ||||||
\(414\) | −0.879362 | −0.0432183 | ||||||||
\(415\) | −8.11450 | + | 32.6586i | −0.398325 | + | 1.60315i | ||||
\(416\) | 16.6803 | 0.817821 | ||||||||
\(417\) | 19.9916i | 0.978992i | ||||||||
\(418\) | − | 1.80098i | − | 0.0880890i | ||||||
\(419\) | 35.8710 | 1.75241 | 0.876205 | − | 0.481938i | \(-0.160067\pi\) | ||||
0.876205 | + | 0.481938i | \(0.160067\pi\) | |||||||
\(420\) | −3.70928 | − | 0.921622i | −0.180994 | − | 0.0449706i | ||||
\(421\) | −10.2351 | −0.498830 | −0.249415 | − | 0.968397i | \(-0.580238\pi\) | ||||
−0.249415 | + | 0.968397i | \(0.580238\pi\) | |||||||
\(422\) | − | 12.0000i | − | 0.584151i | ||||||
\(423\) | − | 4.87936i | − | 0.237243i | ||||||
\(424\) | −11.8432 | −0.575159 | ||||||||
\(425\) | 6.34017 | − | 11.9711i | 0.307544 | − | 0.580682i | ||||
\(426\) | −6.29072 | −0.304787 | ||||||||
\(427\) | 7.44748i | 0.360409i | ||||||||
\(428\) | − | 16.7526i | − | 0.809767i | ||||||
\(429\) | 3.17009 | 0.153053 | ||||||||
\(430\) | −1.46081 | − | 0.362959i | −0.0704466 | − | 0.0175035i | ||||
\(431\) | −29.9565 | −1.44295 | −0.721477 | − | 0.692438i | \(-0.756537\pi\) | ||||
−0.721477 | + | 0.692438i | \(0.756537\pi\) | |||||||
\(432\) | 2.34017i | 0.112592i | ||||||||
\(433\) | 31.8264i | 1.52948i | 0.644339 | + | 0.764740i | \(0.277133\pi\) | ||||
−0.644339 | + | 0.764740i | \(0.722867\pi\) | |||||||
\(434\) | 2.81432 | 0.135091 | ||||||||
\(435\) | −0.673158 | + | 2.70928i | −0.0322755 | + | 0.129900i | ||||
\(436\) | 21.0205 | 1.00670 | ||||||||
\(437\) | − | 5.44748i | − | 0.260588i | ||||||
\(438\) | − | 3.73206i | − | 0.178325i | ||||||
\(439\) | 13.7792 | 0.657647 | 0.328824 | − | 0.944391i | \(-0.393348\pi\) | ||||
0.328824 | + | 0.944391i | \(0.393348\pi\) | |||||||
\(440\) | 1.07838 | − | 4.34017i | 0.0514096 | − | 0.206910i | ||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | − | 4.63090i | − | 0.220269i | ||||||
\(443\) | − | 0.573039i | − | 0.0272259i | −0.999907 | − | 0.0136129i | \(-0.995667\pi\) | ||
0.999907 | − | 0.0136129i | \(-0.00433327\pi\) | |||||||
\(444\) | −5.41855 | −0.257153 | ||||||||
\(445\) | 24.8082 | + | 6.16394i | 1.17602 | + | 0.292199i | ||||
\(446\) | −13.0400 | −0.617462 | ||||||||
\(447\) | 10.0000i | 0.472984i | ||||||||
\(448\) | − | 1.84324i | − | 0.0870851i | ||||||
\(449\) | 14.2751 | 0.673685 | 0.336842 | − | 0.941561i | \(-0.390641\pi\) | ||||
0.336842 | + | 0.941561i | \(0.390641\pi\) | |||||||
\(450\) | 1.26180 | − | 2.38243i | 0.0594816 | − | 0.112309i | ||||
\(451\) | 0.829914 | 0.0390791 | ||||||||
\(452\) | 21.9916i | 1.03440i | ||||||||
\(453\) | 3.26180i | 0.153253i | ||||||||
\(454\) | −13.9844 | −0.656320 | ||||||||
\(455\) | −6.87936 | − | 1.70928i | −0.322509 | − | 0.0801321i | ||||
\(456\) | 6.68035 | 0.312836 | ||||||||
\(457\) | − | 12.9350i | − | 0.605072i | −0.953138 | − | 0.302536i | \(-0.902167\pi\) | ||
0.953138 | − | 0.302536i | \(-0.0978332\pi\) | |||||||
\(458\) | − | 0.505339i | − | 0.0236129i | ||||||
\(459\) | 2.70928 | 0.126458 | ||||||||
\(460\) | 1.50307 | − | 6.04945i | 0.0700811 | − | 0.282057i | ||||
\(461\) | 22.7070 | 1.05757 | 0.528785 | − | 0.848756i | \(-0.322648\pi\) | ||||
0.528785 | + | 0.848756i | \(0.322648\pi\) | |||||||
\(462\) | 0.539189i | 0.0250853i | ||||||||
\(463\) | − | 4.29914i | − | 0.199798i | −0.994998 | − | 0.0998989i | \(-0.968148\pi\) | ||
0.994998 | − | 0.0998989i | \(-0.0318519\pi\) | |||||||
\(464\) | −2.92162 | −0.135633 | ||||||||
\(465\) | 2.81432 | − | 11.3268i | 0.130511 | − | 0.525270i | ||||
\(466\) | 9.42243 | 0.436485 | ||||||||
\(467\) | 24.8371i | 1.14932i | 0.818391 | + | 0.574662i | \(0.194866\pi\) | ||||
−0.818391 | + | 0.574662i | \(0.805134\pi\) | |||||||
\(468\) | 5.41855i | 0.250473i | ||||||||
\(469\) | −2.00000 | −0.0923514 | ||||||||
\(470\) | −5.70928 | − | 1.41855i | −0.263349 | − | 0.0654329i | ||||
\(471\) | −8.06278 | −0.371513 | ||||||||
\(472\) | 8.92162i | 0.410651i | ||||||||
\(473\) | − | 1.24846i | − | 0.0574044i | ||||||
\(474\) | −4.97107 | −0.228329 | ||||||||
\(475\) | 14.7587 | + | 7.81658i | 0.677177 | + | 0.358649i | ||||
\(476\) | −4.63090 | −0.212257 | ||||||||
\(477\) | − | 5.92162i | − | 0.271132i | ||||||
\(478\) | − | 7.03224i | − | 0.321647i | ||||||
\(479\) | 19.9350 | 0.910851 | 0.455426 | − | 0.890274i | \(-0.349487\pi\) | ||||
0.455426 | + | 0.890274i | \(0.349487\pi\) | |||||||
\(480\) | 11.4186 | + | 2.83710i | 0.521183 | + | 0.129495i | ||||
\(481\) | −10.0494 | −0.458215 | ||||||||
\(482\) | − | 10.0312i | − | 0.456908i | ||||||
\(483\) | 1.63090i | 0.0742084i | ||||||||
\(484\) | 1.70928 | 0.0776943 | ||||||||
\(485\) | 2.33299 | − | 9.38962i | 0.105935 | − | 0.426361i | ||||
\(486\) | 0.539189 | 0.0244581 | ||||||||
\(487\) | 34.9048i | 1.58169i | 0.612018 | + | 0.790844i | \(0.290358\pi\) | ||||
−0.612018 | + | 0.790844i | \(0.709642\pi\) | |||||||
\(488\) | − | 14.8950i | − | 0.674263i | ||||||
\(489\) | −3.17009 | −0.143356 | ||||||||
\(490\) | 0.290725 | − | 1.17009i | 0.0131336 | − | 0.0528591i | ||||
\(491\) | 28.6853 | 1.29455 | 0.647274 | − | 0.762257i | \(-0.275909\pi\) | ||||
0.647274 | + | 0.762257i | \(0.275909\pi\) | |||||||
\(492\) | 1.41855i | 0.0639532i | ||||||||
\(493\) | 3.38243i | 0.152337i | ||||||||
\(494\) | 5.70928 | 0.256872 | ||||||||
\(495\) | 2.17009 | + | 0.539189i | 0.0975381 | + | 0.0242347i | ||||
\(496\) | 12.2146 | 0.548452 | ||||||||
\(497\) | 11.6670i | 0.523337i | ||||||||
\(498\) | 8.11450i | 0.363619i | ||||||||
\(499\) | −15.4040 | −0.689578 | −0.344789 | − | 0.938680i | \(-0.612049\pi\) | ||||
−0.344789 | + | 0.938680i | \(0.612049\pi\) | |||||||
\(500\) | 14.2329 | + | 12.7526i | 0.636513 | + | 0.570313i | ||||
\(501\) | 4.20620 | 0.187919 | ||||||||
\(502\) | − | 1.19165i | − | 0.0531860i | ||||||
\(503\) | − | 5.49693i | − | 0.245096i | −0.992463 | − | 0.122548i | \(-0.960893\pi\) | ||
0.992463 | − | 0.122548i | \(-0.0391065\pi\) | |||||||
\(504\) | −2.00000 | −0.0890871 | ||||||||
\(505\) | 5.81658 | + | 1.44521i | 0.258835 | + | 0.0643111i | ||||
\(506\) | −0.879362 | −0.0390924 | ||||||||
\(507\) | − | 2.95055i | − | 0.131039i | ||||||
\(508\) | − | 12.2062i | − | 0.541563i | ||||||
\(509\) | −24.8381 | −1.10093 | −0.550466 | − | 0.834858i | \(-0.685550\pi\) | ||||
−0.550466 | + | 0.834858i | \(0.685550\pi\) | |||||||
\(510\) | 0.787653 | − | 3.17009i | 0.0348779 | − | 0.140374i | ||||
\(511\) | −6.92162 | −0.306195 | ||||||||
\(512\) | 21.6742i | 0.957873i | ||||||||
\(513\) | 3.34017i | 0.147472i | ||||||||
\(514\) | 0.649808 | 0.0286618 | ||||||||
\(515\) | −4.85658 | + | 19.5464i | −0.214006 | + | 0.861316i | ||||
\(516\) | 2.13397 | 0.0939428 | ||||||||
\(517\) | − | 4.87936i | − | 0.214594i | ||||||
\(518\) | − | 1.70928i | − | 0.0751012i | ||||||
\(519\) | −2.65756 | −0.116654 | ||||||||
\(520\) | 13.7587 | + | 3.41855i | 0.603360 | + | 0.149913i | ||||
\(521\) | −13.0300 | −0.570854 | −0.285427 | − | 0.958401i | \(-0.592135\pi\) | ||||
−0.285427 | + | 0.958401i | \(0.592135\pi\) | |||||||
\(522\) | 0.673158i | 0.0294633i | ||||||||
\(523\) | − | 21.6020i | − | 0.944588i | −0.881441 | − | 0.472294i | \(-0.843426\pi\) | ||
0.881441 | − | 0.472294i | \(-0.156574\pi\) | |||||||
\(524\) | −3.57531 | −0.156188 | ||||||||
\(525\) | −4.41855 | − | 2.34017i | −0.192841 | − | 0.102134i | ||||
\(526\) | −6.38575 | −0.278432 | ||||||||
\(527\) | − | 14.1412i | − | 0.615998i | ||||||
\(528\) | 2.34017i | 0.101843i | ||||||||
\(529\) | 20.3402 | 0.884355 | ||||||||
\(530\) | −6.92881 | − | 1.72156i | −0.300968 | − | 0.0747799i | ||||
\(531\) | −4.46081 | −0.193583 | ||||||||
\(532\) | − | 5.70928i | − | 0.247528i | ||||||
\(533\) | 2.63090i | 0.113957i | ||||||||
\(534\) | 6.16394 | 0.266740 | ||||||||
\(535\) | 5.28458 | − | 21.2690i | 0.228472 | − | 0.919538i | ||||
\(536\) | 4.00000 | 0.172774 | ||||||||
\(537\) | 19.3679i | 0.835786i | ||||||||
\(538\) | 12.7142i | 0.548148i | ||||||||
\(539\) | 1.00000 | 0.0430730 | ||||||||
\(540\) | −0.921622 | + | 3.70928i | −0.0396603 | + | 0.159622i | ||||
\(541\) | −27.5285 | −1.18354 | −0.591772 | − | 0.806106i | \(-0.701571\pi\) | ||||
−0.591772 | + | 0.806106i | \(0.701571\pi\) | |||||||
\(542\) | − | 5.39067i | − | 0.231549i | ||||||
\(543\) | 10.7070i | 0.459482i | ||||||||
\(544\) | 14.2557 | 0.611206 | ||||||||
\(545\) | 26.6875 | + | 6.63090i | 1.14317 | + | 0.284036i | ||||
\(546\) | −1.70928 | −0.0731502 | ||||||||
\(547\) | 37.8625i | 1.61889i | 0.587199 | + | 0.809443i | \(0.300231\pi\) | ||||
−0.587199 | + | 0.809443i | \(0.699769\pi\) | |||||||
\(548\) | 19.2885i | 0.823962i | ||||||||
\(549\) | 7.44748 | 0.317851 | ||||||||
\(550\) | 1.26180 | − | 2.38243i | 0.0538031 | − | 0.101587i | ||||
\(551\) | −4.17009 | −0.177652 | ||||||||
\(552\) | − | 3.26180i | − | 0.138831i | ||||||
\(553\) | 9.21953i | 0.392055i | ||||||||
\(554\) | −16.1034 | −0.684169 | ||||||||
\(555\) | −6.87936 | − | 1.70928i | −0.292013 | − | 0.0725547i | ||||
\(556\) | −34.1711 | −1.44918 | ||||||||
\(557\) | − | 5.86991i | − | 0.248716i | −0.992237 | − | 0.124358i | \(-0.960313\pi\) | ||
0.992237 | − | 0.124358i | \(-0.0396871\pi\) | |||||||
\(558\) | − | 2.81432i | − | 0.119139i | ||||||
\(559\) | 3.95774 | 0.167395 | ||||||||
\(560\) | 1.26180 | − | 5.07838i | 0.0533206 | − | 0.214601i | ||||
\(561\) | 2.70928 | 0.114386 | ||||||||
\(562\) | − | 9.63317i | − | 0.406351i | ||||||
\(563\) | 10.4163i | 0.438994i | 0.975613 | + | 0.219497i | \(0.0704416\pi\) | ||||
−0.975613 | + | 0.219497i | \(0.929558\pi\) | |||||||
\(564\) | 8.34017 | 0.351185 | ||||||||
\(565\) | −6.93722 | + | 27.9204i | −0.291851 | + | 1.17462i | ||||
\(566\) | −2.45977 | −0.103392 | ||||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | − | 23.3340i | − | 0.979074i | ||||||
\(569\) | 22.9532 | 0.962248 | 0.481124 | − | 0.876652i | \(-0.340229\pi\) | ||||
0.481124 | + | 0.876652i | \(0.340229\pi\) | |||||||
\(570\) | 3.90829 | + | 0.971071i | 0.163700 | + | 0.0406737i | ||||
\(571\) | 37.8154 | 1.58252 | 0.791262 | − | 0.611478i | \(-0.209425\pi\) | ||||
0.791262 | + | 0.611478i | \(0.209425\pi\) | |||||||
\(572\) | 5.41855i | 0.226561i | ||||||||
\(573\) | 18.6225i | 0.777966i | ||||||||
\(574\) | −0.447480 | −0.0186775 | ||||||||
\(575\) | 3.81658 | − | 7.20620i | 0.159162 | − | 0.300519i | ||||
\(576\) | −1.84324 | −0.0768019 | ||||||||
\(577\) | 32.7070i | 1.36161i | 0.732464 | + | 0.680805i | \(0.238370\pi\) | ||||
−0.732464 | + | 0.680805i | \(0.761630\pi\) | |||||||
\(578\) | 5.20847i | 0.216644i | ||||||||
\(579\) | −14.7792 | −0.614204 | ||||||||
\(580\) | −4.63090 | − | 1.15061i | −0.192288 | − | 0.0477766i | ||||
\(581\) | 15.0494 | 0.624356 | ||||||||
\(582\) | − | 2.33299i | − | 0.0967053i | ||||||
\(583\) | − | 5.92162i | − | 0.245249i | ||||||
\(584\) | 13.8432 | 0.572838 | ||||||||
\(585\) | −1.70928 | + | 6.87936i | −0.0706698 | + | 0.284427i | ||||
\(586\) | −8.09558 | −0.334426 | ||||||||
\(587\) | − | 36.2979i | − | 1.49818i | −0.662471 | − | 0.749088i | \(-0.730492\pi\) | ||
0.662471 | − | 0.749088i | \(-0.269508\pi\) | |||||||
\(588\) | 1.70928i | 0.0704893i | ||||||||
\(589\) | 17.4341 | 0.718362 | ||||||||
\(590\) | −1.29687 | + | 5.21953i | −0.0533912 | + | 0.214885i | ||||
\(591\) | −19.0928 | −0.785371 | ||||||||
\(592\) | − | 7.41855i | − | 0.304901i | ||||||
\(593\) | − | 2.78765i | − | 0.114475i | −0.998361 | − | 0.0572376i | \(-0.981771\pi\) | ||
0.998361 | − | 0.0572376i | \(-0.0182293\pi\) | |||||||
\(594\) | 0.539189 | 0.0221232 | ||||||||
\(595\) | −5.87936 | − | 1.46081i | −0.241030 | − | 0.0598874i | ||||
\(596\) | −17.0928 | −0.700146 | ||||||||
\(597\) | − | 24.4391i | − | 1.00022i | ||||||
\(598\) | − | 2.78765i | − | 0.113996i | ||||||
\(599\) | 18.9627 | 0.774793 | 0.387397 | − | 0.921913i | \(-0.373374\pi\) | ||||
0.387397 | + | 0.921913i | \(0.373374\pi\) | |||||||
\(600\) | 8.83710 | + | 4.68035i | 0.360773 | + | 0.191074i | ||||
\(601\) | 19.5464 | 0.797313 | 0.398657 | − | 0.917100i | \(-0.369477\pi\) | ||||
0.398657 | + | 0.917100i | \(0.369477\pi\) | |||||||
\(602\) | 0.673158i | 0.0274359i | ||||||||
\(603\) | 2.00000i | 0.0814463i | ||||||||
\(604\) | −5.57531 | −0.226856 | ||||||||
\(605\) | 2.17009 | + | 0.539189i | 0.0882266 | + | 0.0219211i | ||||
\(606\) | 1.44521 | 0.0587078 | ||||||||
\(607\) | − | 10.3935i | − | 0.421859i | −0.977501 | − | 0.210930i | \(-0.932351\pi\) | ||
0.977501 | − | 0.210930i | \(-0.0676491\pi\) | |||||||
\(608\) | 17.5753i | 0.712773i | ||||||||
\(609\) | 1.24846 | 0.0505903 | ||||||||
\(610\) | 2.16517 | − | 8.71420i | 0.0876650 | − | 0.352827i | ||||
\(611\) | 15.4680 | 0.625768 | ||||||||
\(612\) | 4.63090i | 0.187193i | ||||||||
\(613\) | 1.65529i | 0.0668566i | 0.999441 | + | 0.0334283i | \(0.0106425\pi\) | ||||
−0.999441 | + | 0.0334283i | \(0.989357\pi\) | |||||||
\(614\) | −11.1362 | −0.449422 | ||||||||
\(615\) | −0.447480 | + | 1.80098i | −0.0180441 | + | 0.0726227i | ||||
\(616\) | −2.00000 | −0.0805823 | ||||||||
\(617\) | − | 28.4931i | − | 1.14709i | −0.819175 | − | 0.573544i | \(-0.805568\pi\) | ||
0.819175 | − | 0.573544i | \(-0.194432\pi\) | |||||||
\(618\) | 4.85658i | 0.195360i | ||||||||
\(619\) | −25.8843 | −1.04038 | −0.520189 | − | 0.854051i | \(-0.674138\pi\) | ||||
−0.520189 | + | 0.854051i | \(0.674138\pi\) | |||||||
\(620\) | 19.3607 | + | 4.81044i | 0.777544 | + | 0.193192i | ||||
\(621\) | 1.63090 | 0.0654457 | ||||||||
\(622\) | − | 12.4826i | − | 0.500505i | ||||||
\(623\) | − | 11.4319i | − | 0.458009i | ||||||
\(624\) | −7.41855 | −0.296980 | ||||||||
\(625\) | 14.0472 | + | 20.6803i | 0.561887 | + | 0.827214i | ||||
\(626\) | 13.9928 | 0.559265 | ||||||||
\(627\) | 3.34017i | 0.133394i | ||||||||
\(628\) | − | 13.7815i | − | 0.549942i | ||||||
\(629\) | −8.58864 | −0.342451 | ||||||||
\(630\) | −1.17009 | − | 0.290725i | −0.0466174 | − | 0.0115827i | ||||
\(631\) | 39.3318 | 1.56577 | 0.782886 | − | 0.622165i | \(-0.213747\pi\) | ||||
0.782886 | + | 0.622165i | \(0.213747\pi\) | |||||||
\(632\) | − | 18.4391i | − | 0.733467i | ||||||
\(633\) | 22.2557i | 0.884583i | ||||||||
\(634\) | 3.81205 | 0.151396 | ||||||||
\(635\) | 3.85043 | − | 15.4969i | 0.152800 | − | 0.614977i | ||||
\(636\) | 10.1217 | 0.401351 | ||||||||
\(637\) | 3.17009i | 0.125603i | ||||||||
\(638\) | 0.673158i | 0.0266506i | ||||||||
\(639\) | 11.6670 | 0.461540 | ||||||||
\(640\) | −6.21008 | + | 24.9939i | −0.245475 | + | 0.987969i | ||||
\(641\) | −25.3028 | −0.999402 | −0.499701 | − | 0.866198i | \(-0.666557\pi\) | ||||
−0.499701 | + | 0.866198i | \(0.666557\pi\) | |||||||
\(642\) | − | 5.28458i | − | 0.208566i | ||||||
\(643\) | − | 42.6053i | − | 1.68019i | −0.542441 | − | 0.840094i | \(-0.682500\pi\) | ||
0.542441 | − | 0.840094i | \(-0.317500\pi\) | |||||||
\(644\) | −2.78765 | −0.109849 | ||||||||
\(645\) | 2.70928 | + | 0.673158i | 0.106678 | + | 0.0265056i | ||||
\(646\) | 4.87936 | 0.191976 | ||||||||
\(647\) | − | 34.6369i | − | 1.36172i | −0.732416 | − | 0.680858i | \(-0.761607\pi\) | ||
0.732416 | − | 0.680858i | \(-0.238393\pi\) | |||||||
\(648\) | 2.00000i | 0.0785674i | ||||||||
\(649\) | −4.46081 | −0.175102 | ||||||||
\(650\) | 7.55252 | + | 4.00000i | 0.296234 | + | 0.156893i | ||||
\(651\) | −5.21953 | −0.204570 | ||||||||
\(652\) | − | 5.41855i | − | 0.212207i | ||||||
\(653\) | 1.94828i | 0.0762423i | 0.999273 | + | 0.0381211i | \(0.0121373\pi\) | ||||
−0.999273 | + | 0.0381211i | \(0.987863\pi\) | |||||||
\(654\) | 6.63090 | 0.259289 | ||||||||
\(655\) | −4.53919 | − | 1.12783i | −0.177361 | − | 0.0440678i | ||||
\(656\) | −1.94214 | −0.0758279 | ||||||||
\(657\) | 6.92162i | 0.270038i | ||||||||
\(658\) | 2.63090i | 0.102563i | ||||||||
\(659\) | 0.506384 | 0.0197259 | 0.00986296 | − | 0.999951i | \(-0.496860\pi\) | ||||
0.00986296 | + | 0.999951i | \(0.496860\pi\) | |||||||
\(660\) | −0.921622 | + | 3.70928i | −0.0358741 | + | 0.144383i | ||||
\(661\) | 23.0316 | 0.895825 | 0.447912 | − | 0.894077i | \(-0.352168\pi\) | ||||
0.447912 | + | 0.894077i | \(0.352168\pi\) | |||||||
\(662\) | 0.683658i | 0.0265711i | ||||||||
\(663\) | 8.58864i | 0.333555i | ||||||||
\(664\) | −30.0989 | −1.16806 | ||||||||
\(665\) | 1.80098 | − | 7.24846i | 0.0698392 | − | 0.281083i | ||||
\(666\) | −1.70928 | −0.0662331 | ||||||||
\(667\) | 2.03612i | 0.0788388i | ||||||||
\(668\) | 7.18956i | 0.278172i | ||||||||
\(669\) | 24.1845 | 0.935025 | ||||||||
\(670\) | 2.34017 | + | 0.581449i | 0.0904088 | + | 0.0224633i | ||||
\(671\) | 7.44748 | 0.287507 | ||||||||
\(672\) | − | 5.26180i | − | 0.202978i | ||||||
\(673\) | − | 17.4280i | − | 0.671800i | −0.941898 | − | 0.335900i | \(-0.890960\pi\) | ||
0.941898 | − | 0.335900i | \(-0.109040\pi\) | |||||||
\(674\) | 1.35350 | 0.0521350 | ||||||||
\(675\) | −2.34017 | + | 4.41855i | −0.0900733 | + | 0.170070i | ||||
\(676\) | 5.04331 | 0.193973 | ||||||||
\(677\) | − | 13.0183i | − | 0.500332i | −0.968203 | − | 0.250166i | \(-0.919515\pi\) | ||
0.968203 | − | 0.250166i | \(-0.0804852\pi\) | |||||||
\(678\) | 6.93722i | 0.266422i | ||||||||
\(679\) | −4.32684 | −0.166049 | ||||||||
\(680\) | 11.7587 | + | 2.92162i | 0.450926 | + | 0.112039i | ||||
\(681\) | 25.9360 | 0.993870 | ||||||||
\(682\) | − | 2.81432i | − | 0.107766i | ||||||
\(683\) | 25.4764i | 0.974828i | 0.873171 | + | 0.487414i | \(0.162060\pi\) | ||||
−0.873171 | + | 0.487414i | \(0.837940\pi\) | |||||||
\(684\) | −5.70928 | −0.218300 | ||||||||
\(685\) | −6.08452 | + | 24.4885i | −0.232478 | + | 0.935658i | ||||
\(686\) | −0.539189 | −0.0205863 | ||||||||
\(687\) | 0.937221i | 0.0357572i | ||||||||
\(688\) | 2.92162i | 0.111386i | ||||||||
\(689\) | 18.7721 | 0.715158 | ||||||||
\(690\) | 0.474142 | − | 1.90829i | 0.0180503 | − | 0.0726474i | ||||
\(691\) | 34.6635 | 1.31866 | 0.659331 | − | 0.751853i | \(-0.270839\pi\) | ||||
0.659331 | + | 0.751853i | \(0.270839\pi\) | |||||||
\(692\) | − | 4.54250i | − | 0.172680i | ||||||
\(693\) | − | 1.00000i | − | 0.0379869i | ||||||
\(694\) | 0.909336 | 0.0345179 | ||||||||
\(695\) | −43.3835 | − | 10.7792i | −1.64563 | − | 0.408880i | ||||
\(696\) | −2.49693 | −0.0946458 | ||||||||
\(697\) | 2.24846i | 0.0851667i | ||||||||
\(698\) | 18.0689i | 0.683919i | ||||||||
\(699\) | −17.4752 | −0.660972 | ||||||||
\(700\) | 4.00000 | − | 7.55252i | 0.151186 | − | 0.285458i | ||||
\(701\) | 15.4007 | 0.581676 | 0.290838 | − | 0.956772i | \(-0.406066\pi\) | ||||
0.290838 | + | 0.956772i | \(0.406066\pi\) | |||||||
\(702\) | 1.70928i | 0.0645124i | ||||||||
\(703\) | − | 10.5886i | − | 0.399358i | ||||||
\(704\) | −1.84324 | −0.0694699 | ||||||||
\(705\) | 10.5886 | + | 2.63090i | 0.398791 | + | 0.0990853i | ||||
\(706\) | −1.00823 | −0.0379453 | ||||||||
\(707\) | − | 2.68035i | − | 0.100805i | ||||||
\(708\) | − | 7.62475i | − | 0.286556i | ||||||
\(709\) | 30.2123 | 1.13465 | 0.567324 | − | 0.823495i | \(-0.307979\pi\) | ||||
0.567324 | + | 0.823495i | \(0.307979\pi\) | |||||||
\(710\) | 3.39189 | − | 13.6514i | 0.127295 | − | 0.512329i | ||||
\(711\) | 9.21953 | 0.345760 | ||||||||
\(712\) | 22.8638i | 0.856856i | ||||||||
\(713\) | − | 8.51253i | − | 0.318797i | ||||||
\(714\) | −1.46081 | −0.0546695 | ||||||||
\(715\) | −1.70928 | + | 6.87936i | −0.0639233 | + | 0.257274i | ||||
\(716\) | −33.1050 | −1.23719 | ||||||||
\(717\) | 13.0423i | 0.487072i | ||||||||
\(718\) | − | 1.07119i | − | 0.0399764i | ||||||
\(719\) | −35.7514 | −1.33330 | −0.666650 | − | 0.745371i | \(-0.732273\pi\) | ||||
−0.666650 | + | 0.745371i | \(0.732273\pi\) | |||||||
\(720\) | −5.07838 | − | 1.26180i | −0.189260 | − | 0.0470243i | ||||
\(721\) | 9.00719 | 0.335445 | ||||||||
\(722\) | − | 4.22899i | − | 0.157387i | ||||||
\(723\) | 18.6042i | 0.691899i | ||||||||
\(724\) | −18.3012 | −0.680160 | ||||||||
\(725\) | −5.51640 | − | 2.92162i | −0.204874 | − | 0.108506i | ||||
\(726\) | 0.539189 | 0.0200112 | ||||||||
\(727\) | 22.6319i | 0.839372i | 0.907669 | + | 0.419686i | \(0.137860\pi\) | ||||
−0.907669 | + | 0.419686i | \(0.862140\pi\) | |||||||
\(728\) | − | 6.34017i | − | 0.234982i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 8.09890 | + | 2.01229i | 0.299754 | + | 0.0744781i | ||||
\(731\) | 3.38243 | 0.125104 | ||||||||
\(732\) | 12.7298i | 0.470507i | ||||||||
\(733\) | − | 27.8987i | − | 1.03046i | −0.857052 | − | 0.515230i | \(-0.827706\pi\) | ||
0.857052 | − | 0.515230i | \(-0.172294\pi\) | |||||||
\(734\) | −15.6526 | −0.577749 | ||||||||
\(735\) | −0.539189 | + | 2.17009i | −0.0198883 | + | 0.0800448i | ||||
\(736\) | 8.58145 | 0.316316 | ||||||||
\(737\) | 2.00000i | 0.0736709i | ||||||||
\(738\) | 0.447480i | 0.0164720i | ||||||||
\(739\) | −3.60650 | −0.132667 | −0.0663337 | − | 0.997797i | \(-0.521130\pi\) | ||||
−0.0663337 | + | 0.997797i | \(0.521130\pi\) | |||||||
\(740\) | 2.92162 | − | 11.7587i | 0.107401 | − | 0.432259i | ||||
\(741\) | −10.5886 | −0.388983 | ||||||||
\(742\) | 3.19287i | 0.117214i | ||||||||
\(743\) | 7.83096i | 0.287290i | 0.989629 | + | 0.143645i | \(0.0458823\pi\) | ||||
−0.989629 | + | 0.143645i | \(0.954118\pi\) | |||||||
\(744\) | 10.4391 | 0.382715 | ||||||||
\(745\) | −21.7009 | − | 5.39189i | −0.795058 | − | 0.197544i | ||||
\(746\) | 11.6670 | 0.427160 | ||||||||
\(747\) | − | 15.0494i | − | 0.550631i | ||||||
\(748\) | 4.63090i | 0.169322i | ||||||||
\(749\) | −9.80098 | −0.358120 | ||||||||
\(750\) | 4.48974 | + | 4.02279i | 0.163942 | + | 0.146891i | ||||
\(751\) | −19.6803 | −0.718146 | −0.359073 | − | 0.933309i | \(-0.616907\pi\) | ||||
−0.359073 | + | 0.933309i | \(0.616907\pi\) | |||||||
\(752\) | 11.4186i | 0.416392i | ||||||||
\(753\) | 2.21008i | 0.0805398i | ||||||||
\(754\) | −2.13397 | −0.0777146 | ||||||||
\(755\) | −7.07838 | − | 1.75872i | −0.257609 | − | 0.0640065i | ||||
\(756\) | 1.70928 | 0.0621657 | ||||||||
\(757\) | 8.11327i | 0.294882i | 0.989071 | + | 0.147441i | \(0.0471036\pi\) | ||||
−0.989071 | + | 0.147441i | \(0.952896\pi\) | |||||||
\(758\) | − | 6.15553i | − | 0.223579i | ||||||
\(759\) | 1.63090 | 0.0591978 | ||||||||
\(760\) | −3.60197 | + | 14.4969i | −0.130657 | + | 0.525859i | ||||
\(761\) | 12.2967 | 0.445755 | 0.222877 | − | 0.974846i | \(-0.428455\pi\) | ||||
0.222877 | + | 0.974846i | \(0.428455\pi\) | |||||||
\(762\) | − | 3.85043i | − | 0.139486i | ||||||
\(763\) | − | 12.2979i | − | 0.445214i | ||||||
\(764\) | −31.8310 | −1.15160 | ||||||||
\(765\) | −1.46081 | + | 5.87936i | −0.0528157 | + | 0.212569i | ||||
\(766\) | 9.59809 | 0.346793 | ||||||||
\(767\) | − | 14.1412i | − | 0.510608i | ||||||
\(768\) | 2.52359i | 0.0910622i | ||||||||
\(769\) | 28.3028 | 1.02063 | 0.510313 | − | 0.859989i | \(-0.329530\pi\) | ||||
0.510313 | + | 0.859989i | \(0.329530\pi\) | |||||||
\(770\) | −1.17009 | − | 0.290725i | −0.0421670 | − | 0.0104770i | ||||
\(771\) | −1.20516 | −0.0434027 | ||||||||
\(772\) | − | 25.2618i | − | 0.909192i | ||||||
\(773\) | − | 54.9914i | − | 1.97790i | −0.148237 | − | 0.988952i | \(-0.547360\pi\) | ||
0.148237 | − | 0.988952i | \(-0.452640\pi\) | |||||||
\(774\) | 0.673158 | 0.0241962 | ||||||||
\(775\) | 23.0628 | + | 12.2146i | 0.828439 | + | 0.438762i | ||||
\(776\) | 8.65368 | 0.310649 | ||||||||
\(777\) | 3.17009i | 0.113726i | ||||||||
\(778\) | − | 9.57918i | − | 0.343430i | ||||||
\(779\) | −2.77205 | −0.0993192 | ||||||||
\(780\) | −11.7587 | − | 2.92162i | −0.421030 | − | 0.104611i | ||||
\(781\) | 11.6670 | 0.417479 | ||||||||
\(782\) | − | 2.38243i | − | 0.0851956i | ||||||
\(783\) | − | 1.24846i | − | 0.0446165i | ||||||
\(784\) | −2.34017 | −0.0835776 | ||||||||
\(785\) | 4.34736 | − | 17.4969i | 0.155164 | − | 0.624492i | ||||
\(786\) | −1.12783 | −0.0402282 | ||||||||
\(787\) | − | 11.3028i | − | 0.402902i | −0.979499 | − | 0.201451i | \(-0.935434\pi\) | ||
0.979499 | − | 0.201451i | \(-0.0645658\pi\) | |||||||
\(788\) | − | 32.6348i | − | 1.16257i | ||||||
\(789\) | 11.8432 | 0.421631 | ||||||||
\(790\) | 2.68035 | − | 10.7877i | 0.0953624 | − | 0.383807i | ||||
\(791\) | 12.8660 | 0.457463 | ||||||||
\(792\) | 2.00000i | 0.0710669i | ||||||||
\(793\) | 23.6092i | 0.838386i | ||||||||
\(794\) | 6.62702 | 0.235184 | ||||||||
\(795\) | 12.8504 | + | 3.19287i | 0.455758 | + | 0.113240i | ||||
\(796\) | 41.7731 | 1.48061 | ||||||||
\(797\) | − | 52.5380i | − | 1.86099i | −0.366304 | − | 0.930495i | \(-0.619377\pi\) | ||
0.366304 | − | 0.930495i | \(-0.380623\pi\) | |||||||
\(798\) | − | 1.80098i | − | 0.0637541i | ||||||
\(799\) | 13.2195 | 0.467674 | ||||||||
\(800\) | −12.3135 | + | 23.2495i | −0.435348 | + | 0.821994i | ||||
\(801\) | −11.4319 | −0.403926 | ||||||||
\(802\) | 4.74417i | 0.167522i | ||||||||
\(803\) | 6.92162i | 0.244259i | ||||||||
\(804\) | −3.41855 | −0.120563 | ||||||||
\(805\) | −3.53919 | − | 0.879362i | −0.124740 | − | 0.0309934i | ||||
\(806\) | 8.92162 | 0.314251 | ||||||||
\(807\) | − | 23.5802i | − | 0.830063i | ||||||
\(808\) | 5.36069i | 0.188588i | ||||||||
\(809\) | −21.6163 | −0.759990 | −0.379995 | − | 0.924989i | \(-0.624074\pi\) | ||||
−0.379995 | + | 0.924989i | \(0.624074\pi\) | |||||||
\(810\) | −0.290725 | + | 1.17009i | −0.0102150 | + | 0.0411126i | ||||
\(811\) | 27.9611 | 0.981845 | 0.490923 | − | 0.871203i | \(-0.336660\pi\) | ||||
0.490923 | + | 0.871203i | \(0.336660\pi\) | |||||||
\(812\) | 2.13397i | 0.0748876i | ||||||||
\(813\) | 9.99773i | 0.350636i | ||||||||
\(814\) | −1.70928 | −0.0599101 | ||||||||
\(815\) | 1.70928 | − | 6.87936i | 0.0598733 | − | 0.240974i | ||||
\(816\) | −6.34017 | −0.221950 | ||||||||
\(817\) | 4.17009i | 0.145893i | ||||||||
\(818\) | − | 4.12556i | − | 0.144247i | ||||||
\(819\) | 3.17009 | 0.110772 | ||||||||
\(820\) | −3.07838 | − | 0.764867i | −0.107502 | − | 0.0267103i | ||||
\(821\) | 25.0710 | 0.874984 | 0.437492 | − | 0.899222i | \(-0.355867\pi\) | ||||
0.437492 | + | 0.899222i | \(0.355867\pi\) | |||||||
\(822\) | 6.08452i | 0.212222i | ||||||||
\(823\) | − | 51.6502i | − | 1.80041i | −0.435464 | − | 0.900206i | \(-0.643416\pi\) | ||
0.435464 | − | 0.900206i | \(-0.356584\pi\) | |||||||
\(824\) | −18.0144 | −0.627561 | ||||||||
\(825\) | −2.34017 | + | 4.41855i | −0.0814744 | + | 0.153834i | ||||
\(826\) | 2.40522 | 0.0836883 | ||||||||
\(827\) | − | 45.2039i | − | 1.57189i | −0.618293 | − | 0.785947i | \(-0.712176\pi\) | ||
0.618293 | − | 0.785947i | \(-0.287824\pi\) | |||||||
\(828\) | 2.78765i | 0.0968776i | ||||||||
\(829\) | −7.88428 | −0.273832 | −0.136916 | − | 0.990583i | \(-0.543719\pi\) | ||||
−0.136916 | + | 0.990583i | \(0.543719\pi\) | |||||||
\(830\) | −17.6092 | − | 4.37525i | −0.611223 | − | 0.151867i | ||||
\(831\) | 29.8660 | 1.03604 | ||||||||
\(832\) | − | 5.84324i | − | 0.202578i | ||||||
\(833\) | 2.70928i | 0.0938708i | ||||||||
\(834\) | −10.7792 | −0.373255 | ||||||||
\(835\) | −2.26794 | + | 9.12783i | −0.0784852 | + | 0.315881i | ||||
\(836\) | −5.70928 | −0.197459 | ||||||||
\(837\) | 5.21953i | 0.180414i | ||||||||
\(838\) | 19.3412i | 0.668131i | ||||||||
\(839\) | −27.4729 | −0.948471 | −0.474235 | − | 0.880398i | \(-0.657275\pi\) | ||||
−0.474235 | + | 0.880398i | \(0.657275\pi\) | |||||||
\(840\) | 1.07838 | − | 4.34017i | 0.0372076 | − | 0.149750i | ||||
\(841\) | −27.4413 | −0.946253 | ||||||||
\(842\) | − | 5.51867i | − | 0.190186i | ||||||
\(843\) | 17.8660i | 0.615339i | ||||||||
\(844\) | −38.0410 | −1.30943 | ||||||||
\(845\) | 6.40295 | + | 1.59090i | 0.220268 | + | 0.0547288i | ||||
\(846\) | 2.63090 | 0.0904521 | ||||||||
\(847\) | − | 1.00000i | − | 0.0343604i | ||||||
\(848\) | 13.8576i | 0.475873i | ||||||||
\(849\) | 4.56198 | 0.156567 | ||||||||
\(850\) | 6.45467 | + | 3.41855i | 0.221393 | + | 0.117255i | ||||
\(851\) | −5.17009 | −0.177228 | ||||||||
\(852\) | 19.9421i | 0.683206i | ||||||||
\(853\) | − | 2.85658i | − | 0.0978073i | −0.998804 | − | 0.0489036i | \(-0.984427\pi\) | ||
0.998804 | − | 0.0489036i | \(-0.0155727\pi\) | |||||||
\(854\) | −4.01560 | −0.137411 | ||||||||
\(855\) | −7.24846 | − | 1.80098i | −0.247892 | − | 0.0615924i | ||||
\(856\) | 19.6020 | 0.669981 | ||||||||
\(857\) | − | 20.4079i | − | 0.697120i | −0.937287 | − | 0.348560i | \(-0.886671\pi\) | ||
0.937287 | − | 0.348560i | \(-0.113329\pi\) | |||||||
\(858\) | 1.70928i | 0.0583537i | ||||||||
\(859\) | 34.7514 | 1.18570 | 0.592851 | − | 0.805313i | \(-0.298002\pi\) | ||||
0.592851 | + | 0.805313i | \(0.298002\pi\) | |||||||
\(860\) | −1.15061 | + | 4.63090i | −0.0392356 | + | 0.157912i | ||||
\(861\) | 0.829914 | 0.0282834 | ||||||||
\(862\) | − | 16.1522i | − | 0.550147i | ||||||
\(863\) | − | 50.6619i | − | 1.72455i | −0.506439 | − | 0.862276i | \(-0.669038\pi\) | ||
0.506439 | − | 0.862276i | \(-0.330962\pi\) | |||||||
\(864\) | −5.26180 | −0.179010 | ||||||||
\(865\) | 1.43293 | − | 5.76713i | 0.0487210 | − | 0.196088i | ||||
\(866\) | −17.1605 | −0.583136 | ||||||||
\(867\) | − | 9.65983i | − | 0.328065i | ||||||
\(868\) | − | 8.92162i | − | 0.302820i | ||||||
\(869\) | 9.21953 | 0.312751 | ||||||||
\(870\) | −1.46081 | − | 0.362959i | −0.0495261 | − | 0.0123055i | ||||
\(871\) | −6.34017 | −0.214829 | ||||||||
\(872\) | 24.5958i | 0.832920i | ||||||||
\(873\) | 4.32684i | 0.146441i | ||||||||
\(874\) | 2.93722 | 0.0993530 | ||||||||
\(875\) | 7.46081 | − | 8.32684i | 0.252221 | − | 0.281499i | ||||
\(876\) | −11.8310 | −0.399731 | ||||||||
\(877\) | 37.0027i | 1.24949i | 0.780829 | + | 0.624745i | \(0.214797\pi\) | ||||
−0.780829 | + | 0.624745i | \(0.785203\pi\) | |||||||
\(878\) | 7.42961i | 0.250737i | ||||||||
\(879\) | 15.0144 | 0.506422 | ||||||||
\(880\) | −5.07838 | − | 1.26180i | −0.171192 | − | 0.0425351i | ||||
\(881\) | −12.0445 | −0.405790 | −0.202895 | − | 0.979200i | \(-0.565035\pi\) | ||||
−0.202895 | + | 0.979200i | \(0.565035\pi\) | |||||||
\(882\) | 0.539189i | 0.0181554i | ||||||||
\(883\) | 52.7358i | 1.77470i | 0.461097 | + | 0.887350i | \(0.347456\pi\) | ||||
−0.461097 | + | 0.887350i | \(0.652544\pi\) | |||||||
\(884\) | −14.6803 | −0.493753 | ||||||||
\(885\) | 2.40522 | − | 9.68035i | 0.0808506 | − | 0.325401i | ||||
\(886\) | 0.308976 | 0.0103803 | ||||||||
\(887\) | 14.1362i | 0.474648i | 0.971431 | + | 0.237324i | \(0.0762704\pi\) | ||||
−0.971431 | + | 0.237324i | \(0.923730\pi\) | |||||||
\(888\) | − | 6.34017i | − | 0.212762i | ||||||
\(889\) | −7.14116 | −0.239507 | ||||||||
\(890\) | −3.32353 | + | 13.3763i | −0.111405 | + | 0.448374i | ||||
\(891\) | −1.00000 | −0.0335013 | ||||||||
\(892\) | 41.3379i | 1.38410i | ||||||||
\(893\) | 16.2979i | 0.545389i | ||||||||
\(894\) | −5.39189 | −0.180332 | ||||||||
\(895\) | −42.0300 | − | 10.4429i | −1.40491 | − | 0.349069i | ||||
\(896\) | 11.5174 | 0.384771 | ||||||||
\(897\) | 5.17009i | 0.172624i | ||||||||
\(898\) | 7.69699i | 0.256852i | ||||||||
\(899\) | −6.51640 | −0.217334 | ||||||||
\(900\) | −7.55252 | − | 4.00000i | −0.251751 | − | 0.133333i | ||||
\(901\) | 16.0433 | 0.534480 | ||||||||
\(902\) | 0.447480i | 0.0148995i | ||||||||
\(903\) | − | 1.24846i | − | 0.0415463i | ||||||
\(904\) | −25.7321 | −0.855836 | ||||||||
\(905\) | −23.2351 | − | 5.77310i | −0.772362 | − | 0.191904i | ||||
\(906\) | −1.75872 | −0.0584297 | ||||||||
\(907\) | 6.47745i | 0.215080i | 0.994201 | + | 0.107540i | \(0.0342974\pi\) | ||||
−0.994201 | + | 0.107540i | \(0.965703\pi\) | |||||||
\(908\) | 44.3318i | 1.47120i | ||||||||
\(909\) | −2.68035 | −0.0889015 | ||||||||
\(910\) | 0.921622 | − | 3.70928i | 0.0305515 | − | 0.122961i | ||||
\(911\) | 22.5380 | 0.746716 | 0.373358 | − | 0.927687i | \(-0.378206\pi\) | ||||
0.373358 | + | 0.927687i | \(0.378206\pi\) | |||||||
\(912\) | − | 7.81658i | − | 0.258833i | ||||||
\(913\) | − | 15.0494i | − | 0.498064i | ||||||
\(914\) | 6.97438 | 0.230692 | ||||||||
\(915\) | −4.01560 | + | 16.1617i | −0.132752 | + | 0.534289i | ||||
\(916\) | −1.60197 | −0.0529305 | ||||||||
\(917\) | 2.09171i | 0.0690743i | ||||||||
\(918\) | 1.46081i | 0.0482140i | ||||||||
\(919\) | 21.1773 | 0.698574 | 0.349287 | − | 0.937016i | \(-0.386424\pi\) | ||||
0.349287 | + | 0.937016i | \(0.386424\pi\) | |||||||
\(920\) | 7.07838 | + | 1.75872i | 0.233367 | + | 0.0579834i | ||||
\(921\) | 20.6537 | 0.680562 | ||||||||
\(922\) | 12.2434i | 0.403214i | ||||||||
\(923\) | 36.9854i | 1.21739i | ||||||||
\(924\) | 1.70928 | 0.0562310 | ||||||||
\(925\) | 7.41855 | − | 14.0072i | 0.243920 | − | 0.460554i | ||||
\(926\) | 2.31805 | 0.0761757 | ||||||||
\(927\) | − | 9.00719i | − | 0.295835i | ||||||
\(928\) | − | 6.56916i | − | 0.215643i | ||||||
\(929\) | −24.4352 | −0.801693 | −0.400846 | − | 0.916145i | \(-0.631284\pi\) | ||||
−0.400846 | + | 0.916145i | \(0.631284\pi\) | |||||||
\(930\) | 6.10731 | + | 1.51745i | 0.200266 | + | 0.0497591i | ||||
\(931\) | −3.34017 | −0.109470 | ||||||||
\(932\) | − | 29.8699i | − | 0.978421i | ||||||
\(933\) | 23.1506i | 0.757917i | ||||||||
\(934\) | −13.3919 | −0.438196 | ||||||||
\(935\) | −1.46081 | + | 5.87936i | −0.0477736 | + | 0.192276i | ||||
\(936\) | −6.34017 | −0.207235 | ||||||||
\(937\) | 18.3063i | 0.598042i | 0.954247 | + | 0.299021i | \(0.0966600\pi\) | ||||
−0.954247 | + | 0.299021i | \(0.903340\pi\) | |||||||
\(938\) | − | 1.07838i | − | 0.0352103i | ||||||
\(939\) | −25.9516 | −0.846898 | ||||||||
\(940\) | −4.49693 | + | 18.0989i | −0.146674 | + | 0.590321i | ||||
\(941\) | −26.7598 | −0.872344 | −0.436172 | − | 0.899863i | \(-0.643666\pi\) | ||||
−0.436172 | + | 0.899863i | \(0.643666\pi\) | |||||||
\(942\) | − | 4.34736i | − | 0.141645i | ||||||
\(943\) | 1.35350i | 0.0440762i | ||||||||
\(944\) | 10.4391 | 0.339763 | ||||||||
\(945\) | 2.17009 | + | 0.539189i | 0.0705929 | + | 0.0175398i | ||||
\(946\) | 0.673158 | 0.0218863 | ||||||||
\(947\) | − | 54.8948i | − | 1.78384i | −0.452192 | − | 0.891920i | \(-0.649358\pi\) | ||
0.452192 | − | 0.891920i | \(-0.350642\pi\) | |||||||
\(948\) | 15.7587i | 0.511820i | ||||||||
\(949\) | −21.9421 | −0.712272 | ||||||||
\(950\) | −4.21461 | + | 7.95774i | −0.136740 | + | 0.258183i | ||||
\(951\) | −7.06997 | −0.229259 | ||||||||
\(952\) | − | 5.41855i | − | 0.175616i | ||||||
\(953\) | − | 26.5646i | − | 0.860513i | −0.902707 | − | 0.430256i | \(-0.858423\pi\) | ||
0.902707 | − | 0.430256i | \(-0.141577\pi\) | |||||||
\(954\) | 3.19287 | 0.103373 | ||||||||
\(955\) | −40.4124 | − | 10.0410i | −1.30771 | − | 0.324920i | ||||
\(956\) | −22.2928 | −0.721001 | ||||||||
\(957\) | − | 1.24846i | − | 0.0403571i | ||||||
\(958\) | 10.7487i | 0.347275i | ||||||||
\(959\) | 11.2846 | 0.364398 | ||||||||
\(960\) | 0.993857 | − | 4.00000i | 0.0320766 | − | 0.129099i | ||||
\(961\) | −3.75646 | −0.121176 | ||||||||
\(962\) | − | 5.41855i | − | 0.174701i | ||||||
\(963\) | 9.80098i | 0.315832i | ||||||||
\(964\) | −31.7998 | −1.02420 | ||||||||
\(965\) | 7.96880 | − | 32.0722i | 0.256525 | − | 1.03244i | ||||
\(966\) | −0.879362 | −0.0282930 | ||||||||
\(967\) | 29.4196i | 0.946070i | 0.881044 | + | 0.473035i | \(0.156842\pi\) | ||||
−0.881044 | + | 0.473035i | \(0.843158\pi\) | |||||||
\(968\) | 2.00000i | 0.0642824i | ||||||||
\(969\) | −9.04945 | −0.290710 | ||||||||
\(970\) | 5.06278 | + | 1.25792i | 0.162556 | + | 0.0403894i | ||||
\(971\) | −38.4668 | −1.23446 | −0.617229 | − | 0.786784i | \(-0.711745\pi\) | ||||
−0.617229 | + | 0.786784i | \(0.711745\pi\) | |||||||
\(972\) | − | 1.70928i | − | 0.0548250i | ||||||
\(973\) | 19.9916i | 0.640901i | ||||||||
\(974\) | −18.8203 | −0.603041 | ||||||||
\(975\) | −14.0072 | − | 7.41855i | −0.448589 | − | 0.237584i | ||||
\(976\) | −17.4284 | −0.557869 | ||||||||
\(977\) | − | 14.7464i | − | 0.471780i | −0.971780 | − | 0.235890i | \(-0.924199\pi\) | ||
0.971780 | − | 0.235890i | \(-0.0758006\pi\) | |||||||
\(978\) | − | 1.70928i | − | 0.0546566i | ||||||
\(979\) | −11.4319 | −0.365365 | ||||||||
\(980\) | −3.70928 | − | 0.921622i | −0.118488 | − | 0.0294401i | ||||
\(981\) | −12.2979 | −0.392642 | ||||||||
\(982\) | 15.4668i | 0.493565i | ||||||||
\(983\) | − | 47.7152i | − | 1.52188i | −0.648822 | − | 0.760940i | \(-0.724738\pi\) | ||
0.648822 | − | 0.760940i | \(-0.275262\pi\) | |||||||
\(984\) | −1.65983 | −0.0529134 | ||||||||
\(985\) | 10.2946 | − | 41.4329i | 0.328013 | − | 1.32016i | ||||
\(986\) | −1.82377 | −0.0580807 | ||||||||
\(987\) | − | 4.87936i | − | 0.155312i | ||||||
\(988\) | − | 18.0989i | − | 0.575803i | ||||||
\(989\) | 2.03612 | 0.0647448 | ||||||||
\(990\) | −0.290725 | + | 1.17009i | −0.00923984 | + | 0.0371878i | ||||
\(991\) | 21.9893 | 0.698514 | 0.349257 | − | 0.937027i | \(-0.386434\pi\) | ||||
0.349257 | + | 0.937027i | \(0.386434\pi\) | |||||||
\(992\) | 27.4641i | 0.871987i | ||||||||
\(993\) | − | 1.26794i | − | 0.0402368i | ||||||
\(994\) | −6.29072 | −0.199530 | ||||||||
\(995\) | 53.0349 | + | 13.1773i | 1.68132 | + | 0.417748i | ||||
\(996\) | 25.7237 | 0.815085 | ||||||||
\(997\) | 26.4657i | 0.838178i | 0.907945 | + | 0.419089i | \(0.137650\pi\) | ||||
−0.907945 | + | 0.419089i | \(0.862350\pi\) | |||||||
\(998\) | − | 8.30566i | − | 0.262911i | ||||||
\(999\) | 3.17009 | 0.100297 |
(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.c.c.694.4 | yes | 6 | |
5.2 | odd | 4 | 5775.2.a.bt.1.2 | 3 | |||
5.3 | odd | 4 | 5775.2.a.bu.1.2 | 3 | |||
5.4 | even | 2 | inner | 1155.2.c.c.694.3 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.c.c.694.3 | ✓ | 6 | 5.4 | even | 2 | inner | |
1155.2.c.c.694.4 | yes | 6 | 1.1 | even | 1 | trivial | |
5775.2.a.bt.1.2 | 3 | 5.2 | odd | 4 | |||
5775.2.a.bu.1.2 | 3 | 5.3 | odd | 4 |