Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), not 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 769.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.769 |
Dual form | 912.2.bo.c.625.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.766044 | + | 0.642788i | −0.442276 | + | 0.371114i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.55303 | + | 0.565258i | 0.694538 | + | 0.252791i | 0.665077 | − | 0.746775i | \(-0.268399\pi\) |
0.0294608 | + | 0.999566i | \(0.490621\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0923963 | − | 0.160035i | 0.0349225 | − | 0.0604876i | −0.848036 | − | 0.529939i | \(-0.822215\pi\) |
0.882958 | + | 0.469451i | \(0.155548\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.173648 | − | 0.984808i | 0.0578827 | − | 0.328269i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.17365 | − | 3.76487i | −0.655380 | − | 1.13515i | −0.981798 | − | 0.189926i | \(-0.939175\pi\) |
0.326419 | − | 0.945225i | \(-0.394158\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.96064 | − | 4.16247i | −1.37583 | − | 1.15446i | −0.970725 | − | 0.240192i | \(-0.922790\pi\) |
−0.405108 | − | 0.914269i | \(-0.632766\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.55303 | + | 0.565258i | −0.400992 | + | 0.145949i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.368241 | − | 2.08840i | −0.0893115 | − | 0.506511i | −0.996343 | − | 0.0854474i | \(-0.972768\pi\) |
0.907031 | − | 0.421064i | \(-0.138343\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.11721 | − | 1.43128i | 0.944553 | − | 0.328359i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0320889 | + | 0.181985i | 0.00700237 | + | 0.0397124i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.0996702 | − | 0.0362770i | 0.0207827 | − | 0.00756428i | −0.331608 | − | 0.943417i | \(-0.607591\pi\) |
0.352391 | + | 0.935853i | \(0.385369\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.73783 | − | 1.45821i | −0.347565 | − | 0.291642i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.692066 | − | 3.92490i | 0.128514 | − | 0.728836i | −0.850645 | − | 0.525740i | \(-0.823788\pi\) |
0.979159 | − | 0.203096i | \(-0.0651004\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.61334 | + | 2.79439i | −0.289765 | + | 0.501887i | −0.973753 | − | 0.227606i | \(-0.926910\pi\) |
0.683989 | + | 0.729492i | \(0.260244\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.08512 | + | 1.48686i | 0.711129 | + | 0.258830i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.233956 | − | 0.196312i | 0.0395457 | − | 0.0331828i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.06418 | 0.668147 | 0.334073 | − | 0.942547i | \(-0.391577\pi\) | ||||
0.334073 | + | 0.942547i | \(0.391577\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.47565 | 1.03693 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.61721 | + | 5.55250i | −1.03343 | + | 0.867155i | −0.991256 | − | 0.131955i | \(-0.957874\pi\) |
−0.0421791 | + | 0.999110i | \(0.513430\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.0393628 | + | 0.0143269i | 0.00600278 | + | 0.00218483i | 0.345020 | − | 0.938595i | \(-0.387872\pi\) |
−0.339017 | + | 0.940780i | \(0.610094\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.826352 | − | 1.43128i | 0.123185 | − | 0.213363i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.37551 | − | 7.80093i | 0.200639 | − | 1.13788i | −0.703516 | − | 0.710679i | \(-0.748388\pi\) |
0.904155 | − | 0.427204i | \(-0.140501\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.48293 | + | 6.03260i | 0.497561 | + | 0.861801i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.62449 | + | 1.36310i | 0.227473 | + | 0.190873i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.65657 | − | 3.15074i | 1.18907 | − | 0.432787i | 0.329674 | − | 0.944095i | \(-0.393061\pi\) |
0.859398 | + | 0.511308i | \(0.170839\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.24763 | − | 7.07564i | −0.168230 | − | 0.954079i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.23396 | + | 3.74292i | −0.295895 | + | 0.495762i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.75237 | − | 9.93821i | −0.228140 | − | 1.29384i | −0.856591 | − | 0.515996i | \(-0.827422\pi\) |
0.628452 | − | 0.777849i | \(-0.283689\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.37939 | + | 1.23000i | −0.432686 | + | 0.157485i | −0.549175 | − | 0.835707i | \(-0.685058\pi\) |
0.116489 | + | 0.993192i | \(0.462836\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.141559 | − | 0.118782i | −0.0178348 | − | 0.0149652i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.35117 | − | 9.26849i | −0.663731 | − | 1.14962i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.38666 | − | 7.86414i | 0.169407 | − | 0.960757i | −0.774996 | − | 0.631967i | \(-0.782248\pi\) |
0.944403 | − | 0.328790i | \(-0.106641\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.0530334 | + | 0.0918566i | −0.00638447 | + | 0.0110582i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.79813 | − | 1.38241i | −0.450755 | − | 0.164062i | 0.106659 | − | 0.994296i | \(-0.465985\pi\) |
−0.557415 | + | 0.830234i | \(0.688207\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.6420 | − | 9.76882i | 1.36260 | − | 1.14335i | 0.387425 | − | 0.921901i | \(-0.373365\pi\) |
0.975171 | − | 0.221453i | \(-0.0710798\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.26857 | 0.261952 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.803348 | −0.0915500 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.49660 | + | 7.96859i | −1.06845 | + | 0.896536i | −0.994911 | − | 0.100756i | \(-0.967874\pi\) |
−0.0735394 | + | 0.997292i | \(0.523429\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.939693 | − | 0.342020i | −0.104410 | − | 0.0380022i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.22803 | − | 7.32316i | 0.464086 | − | 0.803821i | −0.535074 | − | 0.844805i | \(-0.679716\pi\) |
0.999160 | + | 0.0409847i | \(0.0130495\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.608593 | − | 3.45150i | 0.0660112 | − | 0.374368i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.99273 | + | 3.45150i | 0.213643 | + | 0.370040i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −13.7404 | − | 11.5295i | −1.45647 | − | 1.22213i | −0.927679 | − | 0.373378i | \(-0.878200\pi\) |
−0.528795 | − | 0.848750i | \(-0.677356\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.12449 | + | 0.409279i | −0.117878 | + | 0.0429041i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.560307 | − | 3.17766i | −0.0581012 | − | 0.329508i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 7.20321 | + | 0.104455i | 0.739034 | + | 0.0107169i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.85591 | + | 10.5254i | 0.188440 | + | 1.06869i | 0.921456 | + | 0.388483i | \(0.127001\pi\) |
−0.733016 | + | 0.680211i | \(0.761888\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.08512 | + | 1.48686i | −0.410570 | + | 0.149435i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.17752 | + | 5.18355i | 0.614686 | + | 0.515783i | 0.896128 | − | 0.443795i | \(-0.146368\pi\) |
−0.281442 | + | 0.959578i | \(0.590813\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.96451 | + | 15.5270i | 0.883299 | + | 1.52992i | 0.847651 | + | 0.530555i | \(0.178016\pi\) |
0.0356484 | + | 0.999364i | \(0.488650\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0530334 | + | 0.300767i | −0.00517553 | + | 0.0293519i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.99407 | + | 12.1141i | −0.676142 | + | 1.17111i | 0.299991 | + | 0.953942i | \(0.403016\pi\) |
−0.976134 | + | 0.217171i | \(0.930317\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.48545 | + | 1.63257i | 0.429628 | + | 0.156372i | 0.547778 | − | 0.836624i | \(-0.315474\pi\) |
−0.118149 | + | 0.992996i | \(0.537696\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.11334 | + | 2.61240i | −0.295505 | + | 0.247958i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.753718 | −0.0709038 | −0.0354519 | − | 0.999371i | \(-0.511287\pi\) | ||||
−0.0354519 | + | 0.999371i | \(0.511287\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.175297 | 0.0163465 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.96064 | + | 4.16247i | −0.458611 | + | 0.384820i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.368241 | − | 0.134029i | −0.0337566 | − | 0.0122864i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.94949 | + | 6.84072i | −0.359045 | + | 0.621884i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.50000 | − | 8.50692i | 0.135250 | − | 0.767043i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −6.00640 | − | 10.4034i | −0.537228 | − | 0.930507i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.29086 | + | 6.95686i | 0.735695 | + | 0.617321i | 0.931678 | − | 0.363286i | \(-0.118345\pi\) |
−0.195983 | + | 0.980607i | \(0.562790\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.0393628 | + | 0.0143269i | −0.00346571 | + | 0.00126141i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.88326 | − | 10.6805i | −0.164541 | − | 0.933157i | −0.949537 | − | 0.313656i | \(-0.898446\pi\) |
0.784996 | − | 0.619501i | \(-0.212665\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.151359 | − | 0.791143i | 0.0131245 | − | 0.0686008i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.286989 | + | 1.62760i | 0.0247001 | + | 0.140081i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 13.1099 | − | 4.77163i | 1.12006 | − | 0.407668i | 0.285384 | − | 0.958413i | \(-0.407879\pi\) |
0.834673 | + | 0.550746i | \(0.185657\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.57011 | − | 3.83478i | −0.387631 | − | 0.325261i | 0.428058 | − | 0.903751i | \(-0.359198\pi\) |
−0.815690 | + | 0.578490i | \(0.803642\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.96064 | + | 6.86002i | 0.333546 | + | 0.577718i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −4.88847 | + | 27.7239i | −0.408794 | + | 2.31839i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.29339 | − | 5.70431i | 0.273501 | − | 0.473717i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.54576 | − | 2.38246i | −0.539885 | − | 0.196502i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.8931 | + | 9.14036i | −0.892394 | + | 0.748807i | −0.968689 | − | 0.248278i | \(-0.920135\pi\) |
0.0762949 | + | 0.997085i | \(0.475691\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.2003 | 1.23698 | 0.618490 | − | 0.785792i | \(-0.287745\pi\) | ||||
0.618490 | + | 0.785792i | \(0.287745\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.12061 | −0.171442 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.08512 | + | 3.42782i | −0.328125 | + | 0.275329i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.83662 | − | 3.21627i | −0.705239 | − | 0.256686i | −0.0355929 | − | 0.999366i | \(-0.511332\pi\) |
−0.669646 | + | 0.742680i | \(0.733554\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.60607 | + | 7.97794i | −0.365285 | + | 0.632692i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.00340357 | − | 0.0193026i | 0.000268239 | − | 0.00152126i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.81180 | − | 6.60224i | −0.298564 | − | 0.517127i | 0.677244 | − | 0.735758i | \(-0.263174\pi\) |
−0.975808 | + | 0.218631i | \(0.929841\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.50387 | + | 4.61830i | 0.428476 | + | 0.359534i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −16.1630 | + | 5.88284i | −1.25073 | + | 0.455228i | −0.880648 | − | 0.473772i | \(-0.842892\pi\) |
−0.370081 | + | 0.929000i | \(0.620670\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.02435 | + | 28.4945i | 0.386488 | + | 2.19188i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.694593 | − | 4.30320i | −0.0531168 | − | 0.329074i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.15018 | − | 6.52298i | −0.0874464 | − | 0.495933i | −0.996802 | − | 0.0799130i | \(-0.974536\pi\) |
0.909355 | − | 0.416020i | \(-0.136575\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.393933 | + | 0.143380i | −0.0297785 | + | 0.0108385i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 7.73055 | + | 6.48670i | 0.581064 | + | 0.487570i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −10.7121 | − | 18.5540i | −0.800662 | − | 1.38679i | −0.919181 | − | 0.393836i | \(-0.871148\pi\) |
0.118518 | − | 0.992952i | \(-0.462186\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.98411 | + | 16.9237i | −0.221807 | + | 1.25793i | 0.646889 | + | 0.762584i | \(0.276070\pi\) |
−0.868696 | + | 0.495346i | \(0.835041\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.79813 | − | 3.11446i | 0.132922 | − | 0.230227i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.31180 | + | 2.29731i | 0.464053 | + | 0.168901i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.06212 | + | 5.92582i | −0.516433 | + | 0.433339i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.184793 | 0.0134417 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.57398 | 0.475676 | 0.237838 | − | 0.971305i | \(-0.423561\pi\) | ||||
0.237838 | + | 0.971305i | \(0.423561\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.69253 | + | 7.29390i | −0.625702 | + | 0.525027i | −0.899590 | − | 0.436735i | \(-0.856135\pi\) |
0.273888 | + | 0.961762i | \(0.411690\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 10.0569 | + | 3.66041i | 0.720190 | + | 0.262128i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.22416 | + | 5.58440i | −0.229712 | + | 0.397872i | −0.957723 | − | 0.287693i | \(-0.907112\pi\) |
0.728011 | + | 0.685565i | \(0.240445\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.90420 | + | 16.4705i | −0.205873 | + | 1.16757i | 0.690186 | + | 0.723632i | \(0.257529\pi\) |
−0.896060 | + | 0.443934i | \(0.853583\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.99273 | + | 6.91560i | 0.281625 | + | 0.487789i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.564178 | − | 0.473401i | −0.0395975 | − | 0.0332263i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.4153 | + | 4.88279i | −0.936968 | + | 0.341029i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.0184183 | − | 0.104455i | −0.00128016 | − | 0.00726016i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −14.3380 | − | 12.3897i | −0.991778 | − | 0.857010i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.847296 | + | 4.80526i | 0.0583303 | + | 0.330807i | 0.999983 | − | 0.00577769i | \(-0.00183911\pi\) |
−0.941653 | + | 0.336585i | \(0.890728\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.79813 | − | 1.38241i | 0.260244 | − | 0.0947210i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.0530334 | + | 0.0445003i | 0.00361685 | + | 0.00303490i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.298133 | + | 0.516382i | 0.0202386 | + | 0.0350543i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.63903 | + | 14.9667i | −0.178329 | + | 1.01136i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.86618 | + | 11.8926i | −0.461869 | + | 0.799981i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 27.0453 | + | 9.84370i | 1.81109 | + | 0.659183i | 0.996908 | + | 0.0785736i | \(0.0250366\pi\) |
0.814182 | + | 0.580609i | \(0.197186\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.73783 | + | 1.45821i | −0.115855 | + | 0.0972139i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.75608 | 0.249300 | 0.124650 | − | 0.992201i | \(-0.460219\pi\) | ||||
0.124650 | + | 0.992201i | \(0.460219\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.5175 | 1.15759 | 0.578796 | − | 0.815472i | \(-0.303523\pi\) | ||||
0.578796 | + | 0.815472i | \(0.303523\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.615400 | − | 0.516382i | 0.0404904 | − | 0.0339754i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.58260 | + | 2.39587i | 0.431240 | + | 0.156959i | 0.548515 | − | 0.836141i | \(-0.315193\pi\) |
−0.117274 | + | 0.993100i | \(0.537416\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.54576 | − | 11.3376i | 0.426998 | − | 0.739583i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.15270 | − | 12.2086i | 0.139833 | − | 0.793033i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.467911 | + | 0.810446i | 0.0302667 | + | 0.0524234i | 0.880762 | − | 0.473559i | \(-0.157031\pi\) |
−0.850495 | + | 0.525983i | \(0.823698\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.0082 | − | 18.4671i | −1.41767 | − | 1.18957i | −0.952573 | − | 0.304311i | \(-0.901574\pi\) |
−0.465101 | − | 0.885258i | \(-0.653982\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.939693 | − | 0.342020i | 0.0602813 | − | 0.0219406i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.99912 | + | 11.3376i | 0.127719 | + | 0.724332i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −26.3817 | − | 10.0377i | −1.67863 | − | 0.638683i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.46838 | + | 8.32759i | 0.0930547 | + | 0.527739i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 22.7271 | − | 8.27201i | 1.43452 | − | 0.522124i | 0.496300 | − | 0.868151i | \(-0.334692\pi\) |
0.938225 | + | 0.346027i | \(0.112469\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.353226 | − | 0.296392i | −0.0222071 | − | 0.0186340i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.75237 | + | 3.03520i | 0.109738 | + | 0.190072i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.52822 | − | 8.66696i | 0.0953277 | − | 0.540630i | −0.899319 | − | 0.437294i | \(-0.855937\pi\) |
0.994646 | − | 0.103336i | \(-0.0329518\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.375515 | − | 0.650411i | 0.0233334 | − | 0.0404146i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.74510 | − | 1.36310i | −0.231816 | − | 0.0843741i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.00206 | + | 0.840828i | −0.0617896 | + | 0.0518477i | −0.673159 | − | 0.739497i | \(-0.735063\pi\) |
0.611370 | + | 0.791345i | \(0.290619\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.2249 | 0.935260 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.9368 | 1.09771 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.70368 | − | 5.62505i | 0.408730 | − | 0.342966i | −0.415126 | − | 0.909764i | \(-0.636263\pi\) |
0.823857 | + | 0.566798i | \(0.191818\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.9179 | − | 4.70172i | −0.784705 | − | 0.285609i | −0.0815717 | − | 0.996667i | \(-0.525994\pi\) |
−0.703133 | + | 0.711058i | \(0.748216\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.598326 | − | 1.03633i | 0.0362123 | − | 0.0627216i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.71254 | + | 9.71232i | −0.103270 | + | 0.585675i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.5039 | − | 21.6573i | −0.751285 | − | 1.30126i | −0.947200 | − | 0.320643i | \(-0.896101\pi\) |
0.195915 | − | 0.980621i | \(-0.437232\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.47178 | + | 2.07407i | 0.147982 | + | 0.124171i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.4226 | + | 4.15749i | −0.681416 | + | 0.248015i | −0.659456 | − | 0.751744i | \(-0.729213\pi\) |
−0.0219608 | + | 0.999759i | \(0.506991\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.85756 | + | 10.5348i | 0.110421 | + | 0.626227i | 0.988916 | + | 0.148476i | \(0.0474367\pi\) |
−0.878495 | + | 0.477751i | \(0.841452\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −5.58512 | + | 4.55012i | −0.330834 | + | 0.269526i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.277189 | + | 1.57202i | 0.0163619 | + | 0.0927932i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.7490 | − | 4.27628i | 0.691116 | − | 0.251546i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.18732 | − | 6.86998i | −0.479949 | − | 0.402725i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.67365 | + | 11.5591i | 0.389879 | + | 0.675290i | 0.992433 | − | 0.122788i | \(-0.0391836\pi\) |
−0.602554 | + | 0.798078i | \(0.705850\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.89615 | − | 16.4249i | 0.168621 | − | 0.956295i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.17365 | − | 3.76487i | 0.126128 | − | 0.218460i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.645430 | − | 0.234917i | −0.0373262 | − | 0.0135856i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.00592979 | − | 0.00497568i | 0.000341787 | − | 0.000286794i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.06418 | −0.463275 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −5.94356 | −0.340327 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.9987 | + | 10.0681i | −0.684799 | + | 0.574615i | −0.917404 | − | 0.397956i | \(-0.869720\pi\) |
0.232605 | + | 0.972571i | \(0.425275\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −16.8478 | − | 6.13208i | −0.958436 | − | 0.348842i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.55303 | − | 7.88609i | 0.258179 | − | 0.447179i | −0.707575 | − | 0.706638i | \(-0.750211\pi\) |
0.965754 | + | 0.259459i | \(0.0835443\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.08172 | − | 17.4773i | 0.174189 | − | 0.987875i | −0.764887 | − | 0.644165i | \(-0.777205\pi\) |
0.939076 | − | 0.343710i | \(-0.111684\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.152704 | − | 0.264490i | −0.00860388 | − | 0.0149023i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.7822 | + | 19.9557i | 1.33574 | + | 1.12082i | 0.982698 | + | 0.185216i | \(0.0592985\pi\) |
0.353046 | + | 0.935606i | \(0.385146\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −16.2811 | + | 5.92582i | −0.911564 | + | 0.331782i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.42902 | − | 13.7756i | −0.135574 | − | 0.768881i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.50521 | − | 8.07132i | −0.250677 | − | 0.449100i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.55097 | + | 14.4673i | 0.141503 | + | 0.802501i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.48545 | + | 1.63257i | −0.248046 | + | 0.0902814i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.12133 | − | 0.940908i | −0.0618209 | − | 0.0518739i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.03983 | − | 8.72924i | −0.277014 | − | 0.479802i | 0.693627 | − | 0.720334i | \(-0.256012\pi\) |
−0.970641 | + | 0.240532i | \(0.922678\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.705737 | − | 4.00243i | 0.0386742 | − | 0.219332i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 6.59879 | − | 11.4294i | 0.360531 | − | 0.624457i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.87211 | + | 2.86521i | 0.428821 | + | 0.156078i | 0.547409 | − | 0.836865i | \(-0.315614\pi\) |
−0.118587 | + | 0.992944i | \(0.537837\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.577382 | − | 0.484481i | 0.0313591 | − | 0.0263134i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 14.0273 | 0.759623 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.58079 | 0.139349 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.134285 | + | 0.112679i | −0.00722968 | + | 0.00606642i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.2306 | + | 4.45156i | 0.656570 | + | 0.238972i | 0.648755 | − | 0.760997i | \(-0.275290\pi\) |
0.00781546 | + | 0.999969i | \(0.497512\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.35369 | − | 5.80877i | 0.179519 | − | 0.310936i | −0.762197 | − | 0.647345i | \(-0.775879\pi\) |
0.941716 | + | 0.336409i | \(0.109213\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.12449 | − | 6.37727i | 0.0600206 | − | 0.340394i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.32295 | − | 9.21962i | −0.283312 | − | 0.490711i | 0.688886 | − | 0.724869i | \(-0.258100\pi\) |
−0.972198 | + | 0.234159i | \(0.924767\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.11721 | − | 4.29385i | −0.271593 | − | 0.227894i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.368241 | − | 0.134029i | 0.0194894 | − | 0.00709355i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.06418 | + | 28.7204i | 0.267277 | + | 1.51580i | 0.762472 | + | 0.647022i | \(0.223986\pi\) |
−0.495195 | + | 0.868782i | \(0.664903\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.9029 | − | 11.7858i | 0.784361 | − | 0.620305i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.37164 | − | 7.77898i | −0.0719927 | − | 0.408291i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 23.6024 | − | 8.59056i | 1.23540 | − | 0.449650i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.71095 | + | 2.27476i | 0.141511 | + | 0.118741i | 0.710795 | − | 0.703399i | \(-0.248335\pi\) |
−0.569285 | + | 0.822141i | \(0.692780\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.31908 | + | 7.48086i | 0.224842 | + | 0.389438i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.295607 | − | 1.67647i | 0.0153472 | − | 0.0870380i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.10472 | + | 8.84164i | −0.264313 | + | 0.457803i | −0.967383 | − | 0.253317i | \(-0.918478\pi\) |
0.703071 | + | 0.711120i | \(0.251812\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.2883 | + | 4.10862i | 0.582927 | + | 0.212168i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −19.7704 | + | 16.5893i | −1.01823 | + | 0.854393i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.6287 | −0.648691 | −0.324345 | − | 0.945939i | \(-0.605144\pi\) | ||||
−0.324345 | + | 0.945939i | \(0.605144\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −10.8229 | −0.554476 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.67546 | − | 5.60138i | 0.341100 | − | 0.286217i | −0.456105 | − | 0.889926i | \(-0.650756\pi\) |
0.797205 | + | 0.603709i | \(0.206311\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.24763 | − | 0.454099i | −0.0635849 | − | 0.0231430i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.0209445 | − | 0.0362770i | 0.00106467 | − | 0.00184406i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.50118 | + | 8.51363i | −0.0761130 | + | 0.431658i | 0.922810 | + | 0.385256i | \(0.125887\pi\) |
−0.998923 | + | 0.0464023i | \(0.985224\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.112463 | − | 0.194792i | −0.00568752 | − | 0.00985108i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 8.30793 | + | 6.97118i | 0.419080 | + | 0.351650i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −19.2528 | + | 7.00746i | −0.968716 | + | 0.352584i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.19372 | − | 6.76990i | −0.0599109 | − | 0.339771i | 0.940088 | − | 0.340931i | \(-0.110742\pi\) |
−0.999999 | + | 0.00115924i | \(0.999631\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.392589 | + | 0.703343i | 0.0196540 | + | 0.0352112i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.11200 | − | 28.9916i | −0.255281 | − | 1.44777i | −0.795351 | − | 0.606150i | \(-0.792713\pi\) |
0.540070 | − | 0.841620i | \(-0.318398\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.6348 | − | 7.14647i | 0.978077 | − | 0.355991i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.26604 | − | 1.06234i | −0.0629103 | − | 0.0527880i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.83409 | − | 15.3011i | −0.437890 | − | 0.758447i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.69459 | + | 20.9531i | −0.182686 | + | 1.03606i | 0.746207 | + | 0.665714i | \(0.231873\pi\) |
−0.928893 | + | 0.370349i | \(0.879238\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.97565 | + | 12.0822i | −0.344084 | + | 0.595970i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.75237 | − | 0.637812i | −0.0862287 | − | 0.0313847i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.7057 | − | 8.98318i | 0.525524 | − | 0.440967i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 5.96585 | 0.292149 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.8922 | −0.776384 | −0.388192 | − | 0.921579i | \(-0.626900\pi\) | ||||
−0.388192 | + | 0.921579i | \(0.626900\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.0103 | − | 12.5951i | 0.731556 | − | 0.613848i | −0.199000 | − | 0.980000i | \(-0.563769\pi\) |
0.930555 | + | 0.366151i | \(0.119325\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.44356 | − | 2.70924i | −0.361918 | − | 0.131728i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.40538 | + | 4.16624i | −0.116678 | + | 0.202093i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.115400 | + | 0.654467i | −0.00558461 | + | 0.0316719i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −14.0758 | − | 24.3800i | −0.679585 | − | 1.17708i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.18273 | + | 2.67063i | 0.153307 | + | 0.128640i | 0.716215 | − | 0.697880i | \(-0.245873\pi\) |
−0.562908 | + | 0.826520i | \(0.690317\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.34730 | − | 1.21832i | 0.160861 | − | 0.0585485i | −0.260335 | − | 0.965518i | \(-0.583833\pi\) |
0.421195 | + | 0.906970i | \(0.361611\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.14378 | + | 6.48670i | 0.0548401 | + | 0.311014i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.358441 | − | 0.292016i | 0.0171465 | − | 0.0139690i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.42649 | + | 8.09002i | 0.0680826 | + | 0.386116i | 0.999741 | + | 0.0227790i | \(0.00725140\pi\) |
−0.931658 | + | 0.363337i | \(0.881637\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.54576 | − | 2.38246i | 0.311703 | − | 0.113451i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 14.5137 | + | 12.1784i | 0.689565 | + | 0.578614i | 0.918784 | − | 0.394761i | \(-0.129173\pi\) |
−0.229219 | + | 0.973375i | \(0.573617\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.8221 | − | 25.6726i | −0.702634 | − | 1.21700i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.46926 | − | 14.0038i | 0.116792 | − | 0.662359i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.24628 | + | 9.08683i | −0.247587 | + | 0.428834i | −0.962856 | − | 0.270016i | \(-0.912971\pi\) |
0.715269 | + | 0.698850i | \(0.246304\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 35.2879 | + | 12.8438i | 1.66164 | + | 0.604789i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −11.6441 | + | 9.77055i | −0.547087 | + | 0.459060i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.97771 | −0.0927165 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.415593 | −0.0194406 | −0.00972031 | − | 0.999953i | \(-0.503094\pi\) | ||||
−0.00972031 | + | 0.999953i | \(0.503094\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.62449 | − | 1.36310i | 0.0758245 | − | 0.0636243i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −23.7344 | − | 8.63862i | −1.10542 | − | 0.402341i | −0.276110 | − | 0.961126i | \(-0.589045\pi\) |
−0.829312 | + | 0.558785i | \(0.811268\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.39558 | − | 16.2736i | 0.436650 | − | 0.756300i | −0.560779 | − | 0.827966i | \(-0.689498\pi\) |
0.997429 | + | 0.0716660i | \(0.0228316\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.926022 | − | 5.25173i | 0.0429432 | − | 0.243543i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.56670 | − | 14.8380i | −0.396420 | − | 0.686619i | 0.596861 | − | 0.802344i | \(-0.296414\pi\) |
−0.993281 | + | 0.115725i | \(0.963081\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.13041 | − | 0.948531i | −0.0521977 | − | 0.0437991i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.83662 | − | 3.21627i | 0.407170 | − | 0.148198i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.0316221 | − | 0.179338i | −0.00145398 | − | 0.00824595i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.24211 | − | 3.51643i | −0.424057 | − | 0.161345i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.59967 | − | 9.07218i | −0.0732439 | − | 0.415387i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.2973 | + | 3.74789i | −0.470494 | + | 0.171246i | −0.566376 | − | 0.824147i | \(-0.691655\pi\) |
0.0958823 | + | 0.995393i | \(0.469433\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −20.1609 | − | 16.9170i | −0.919258 | − | 0.771349i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.00980018 | + | 0.0169744i | 0.000445924 | + | 0.000772362i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.06728 | + | 17.3954i | −0.139278 | + | 0.789884i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.44016 | − | 14.6188i | 0.382460 | − | 0.662440i | −0.608953 | − | 0.793206i | \(-0.708410\pi\) |
0.991413 | + | 0.130766i | \(0.0417436\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.16385 | + | 2.60743i | 0.323960 | + | 0.117912i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.62314 | − | 7.23567i | 0.389157 | − | 0.326541i | −0.427128 | − | 0.904191i | \(-0.640475\pi\) |
0.816285 | + | 0.577650i | \(0.196030\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.45161 | −0.380641 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −7.18479 | −0.322932 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.572167 | + | 0.480105i | −0.0256652 | + | 0.0215357i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.18139 | − | 3.34175i | −0.411015 | − | 0.149597i | 0.128233 | − | 0.991744i | \(-0.459069\pi\) |
−0.539249 | + | 0.842147i | \(0.681292\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.60014 | − | 14.8959i | 0.384226 | − | 0.665499i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.50093 | − | 36.8686i | 0.289862 | − | 1.64389i | −0.397519 | − | 0.917594i | \(-0.630129\pi\) |
0.687381 | − | 0.726297i | \(-0.258760\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.66385 | + | 11.5421i | 0.296537 | + | 0.513618i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −22.1648 | − | 18.5985i | −0.984373 | − | 0.825987i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.49273 | − | 1.27125i | 0.154812 | − | 0.0563471i | −0.263452 | − | 0.964673i | \(-0.584861\pi\) |
0.418264 | + | 0.908326i | \(0.362639\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.487674 | − | 2.76573i | −0.0215734 | − | 0.122349i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.29813 | + | 2.84997i | 0.145616 | + | 0.125829i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.14543 | + | 29.1812i | 0.226735 | + | 1.28588i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −32.3594 | + | 11.7778i | −1.42316 | + | 0.517989i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.07398 | + | 4.25757i | 0.222723 | + | 0.186887i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.446089 | + | 0.772649i | 0.0195435 | + | 0.0338504i | 0.875632 | − | 0.482979i | \(-0.160445\pi\) |
−0.856088 | + | 0.516830i | \(0.827112\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.44238 | − | 13.8514i | 0.106798 | − | 0.605681i | −0.883689 | − | 0.468074i | \(-0.844948\pi\) |
0.990487 | − | 0.137606i | \(-0.0439409\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.209607 | − | 0.363051i | 0.00914802 | − | 0.0158448i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.42989 | + | 2.34029i | 0.280091 | + | 0.101945i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.6104 | + | 14.7769i | −0.765670 | + | 0.642473i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.0915 | −0.437935 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 55.9377 | 2.42293 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.7096 | + | 14.8601i | −0.765653 | + | 0.642459i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 20.1322 | + | 7.32753i | 0.868770 | + | 0.316206i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15.1413 | − | 26.2255i | 0.652182 | − | 1.12961i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.44862 | − | 25.2294i | 0.191261 | − | 1.08469i | −0.726383 | − | 0.687290i | \(-0.758800\pi\) |
0.917644 | − | 0.397404i | \(-0.130089\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.59240 | − | 14.8825i | −0.368735 | − | 0.638668i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.04323 | + | 5.07087i | 0.258864 | + | 0.217212i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 34.1263 | − | 12.4210i | 1.45914 | − | 0.531082i | 0.514008 | − | 0.857785i | \(-0.328160\pi\) |
0.945127 | + | 0.326704i | \(0.105938\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.624485 | + | 3.54163i | 0.0266524 | + | 0.151153i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.76827 | − | 17.1502i | −0.117932 | − | 0.730623i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.397804 | + | 2.25606i | 0.0169163 | + | 0.0959373i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −6.31180 | + | 2.29731i | −0.267921 | + | 0.0975153i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 17.8635 | + | 14.9893i | 0.756900 | + | 0.635115i | 0.937318 | − | 0.348475i | \(-0.113300\pi\) |
−0.180418 | + | 0.983590i | \(0.557745\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.135630 | − | 0.234917i | −0.00573652 | − | 0.00993594i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.60085 | − | 9.07888i | 0.0675880 | − | 0.383311i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 2.26991 | − | 3.93161i | 0.0956655 | − | 0.165698i | −0.814221 | − | 0.580556i | \(-0.802835\pi\) |
0.909886 | + | 0.414858i | \(0.136169\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.17055 | − | 0.426045i | −0.0492454 | − | 0.0179239i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.141559 | + | 0.118782i | −0.00594493 | + | 0.00498839i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.26621 | −0.262693 | −0.131347 | − | 0.991337i | \(-0.541930\pi\) | ||||
−0.131347 | + | 0.991337i | \(0.541930\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.03777 | −0.0434293 | −0.0217147 | − | 0.999764i | \(-0.506913\pi\) | ||||
−0.0217147 | + | 0.999764i | \(0.506913\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.03596 | + | 4.22567i | −0.210380 | + | 0.176530i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.226109 | − | 0.0822969i | −0.00942940 | − | 0.00343202i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 20.1211 | − | 34.8507i | 0.837652 | − | 1.45086i | −0.0542015 | − | 0.998530i | \(-0.517261\pi\) |
0.891853 | − | 0.452325i | \(-0.149405\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.97044 | − | 11.1749i | 0.0818886 | − | 0.464413i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.781308 | − | 1.35326i | −0.0324141 | − | 0.0561429i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −30.6785 | − | 25.7423i | −1.27057 | − | 1.06614i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −10.0569 | + | 3.66041i | −0.415802 | + | 0.151339i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.37598 | + | 47.5026i | 0.345714 | + | 1.96064i | 0.266766 | + | 0.963761i | \(0.414045\pi\) |
0.0789482 | + | 0.996879i | \(0.474844\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.64290 | + | 13.8142i | −0.108899 | + | 0.569206i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.11974 | − | 6.35035i | −0.0460598 | − | 0.261218i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 16.4217 | − | 5.97702i | 0.674360 | − | 0.245447i | 0.0179361 | − | 0.999839i | \(-0.494290\pi\) |
0.656424 | + | 0.754392i | \(0.272068\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.496130 | − | 0.416302i | −0.0203393 | − | 0.0170667i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −8.36231 | − | 14.4839i | −0.342247 | − | 0.592789i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.80376 | + | 21.5722i | −0.155417 | + | 0.881416i | 0.802986 | + | 0.595998i | \(0.203243\pi\) |
−0.958403 | + | 0.285418i | \(0.907868\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.63903 | + | 8.03504i | −0.189230 | + | 0.327756i | −0.944994 | − | 0.327088i | \(-0.893933\pi\) |
0.755764 | + | 0.654844i | \(0.227266\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.50387 | − | 2.73119i | −0.305581 | − | 0.111222i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −10.0005 | + | 8.39139i | −0.406577 | + | 0.341158i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.3354 | −1.19069 | −0.595344 | − | 0.803471i | \(-0.702984\pi\) | ||||
−0.595344 | + | 0.803471i | \(0.702984\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.736482 | 0.0298437 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −39.2946 | + | 32.9721i | −1.58969 | + | 1.33391i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.7875 | + | 8.29396i | 0.920377 | + | 0.334990i | 0.758388 | − | 0.651803i | \(-0.225987\pi\) |
0.161988 | + | 0.986793i | \(0.448209\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.13816 | − | 12.3636i | 0.287838 | − | 0.498550i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.47834 | − | 19.7266i | 0.140033 | − | 0.794165i | −0.831189 | − | 0.555989i | \(-0.812340\pi\) |
0.971222 | − | 0.238176i | \(-0.0765494\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.00774 | − | 6.94161i | −0.161085 | − | 0.279007i | 0.774173 | − | 0.632974i | \(-0.218166\pi\) |
−0.935258 | + | 0.353967i | \(0.884833\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.0812519 | + | 0.0681784i | 0.00326053 | + | 0.00273591i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.11468 | + | 1.13365i | −0.124787 | + | 0.0454188i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.47787 | − | 8.38144i | −0.0591149 | − | 0.335257i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 18.9474 | + | 0.274761i | 0.756688 | + | 0.0109729i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.49660 | − | 8.48762i | −0.0596732 | − | 0.338424i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.74763 | − | 1.36402i | 0.149191 | − | 0.0543010i | −0.266345 | − | 0.963878i | \(-0.585816\pi\) |
0.415536 | + | 0.909577i | \(0.363594\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.73783 | − | 3.13641i | −0.148565 | − | 0.124661i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 8.94356 | + | 15.4907i | 0.354914 | + | 0.614730i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.83300 | − | 44.4231i | 0.310355 | − | 1.76011i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.02094 | + | 3.50038i | −0.0799473 | + | 0.138473i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 26.2221 | + | 9.54406i | 1.03571 | + | 0.376968i | 0.803253 | − | 0.595639i | \(-0.203101\pi\) |
0.232458 | + | 0.972606i | \(0.425323\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.27584 | − | 6.94426i | 0.326367 | − | 0.273855i | −0.464850 | − | 0.885389i | \(-0.653892\pi\) |
0.791218 | + | 0.611534i | \(0.209447\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.0692302 | −0.00272594 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 34.4662 | 1.35500 | 0.677502 | − | 0.735521i | \(-0.263062\pi\) | ||||
0.677502 | + | 0.735521i | \(0.263062\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.6070 | + | 28.1996i | −1.31919 | + | 1.10693i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.560307 | − | 0.203935i | −0.0219602 | − | 0.00799285i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 11.4971 | − | 19.9135i | 0.449915 | − | 0.779275i | −0.548465 | − | 0.836173i | \(-0.684788\pi\) |
0.998380 | + | 0.0568980i | \(0.0181210\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.11246 | − | 17.6517i | 0.121614 | − | 0.689707i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.59879 | − | 13.1615i | −0.296457 | − | 0.513479i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.0742 | + | 21.8788i | 1.01571 | + | 0.852279i | 0.989082 | − | 0.147367i | \(-0.0470797\pi\) |
0.0266245 | + | 0.999646i | \(0.491524\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.04411 | + | 2.92782i | −0.312880 | + | 0.113879i | −0.493687 | − | 0.869640i | \(-0.664351\pi\) |
0.180807 | + | 0.983519i | \(0.442129\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.38460 | − | 13.5237i | −0.0926102 | − | 0.525218i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.682266 | − | 1.14311i | 0.0264572 | − | 0.0443281i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.0734053 | − | 0.416302i | −0.00284226 | − | 0.0161193i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −27.0453 | + | 9.84370i | −1.04563 | + | 0.380580i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 11.9764 | + | 10.0494i | 0.462343 | + | 0.387951i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.07011 | + | 10.5137i | 0.233985 | + | 0.405275i | 0.958977 | − | 0.283483i | \(-0.0914899\pi\) |
−0.724992 | + | 0.688757i | \(0.758157\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.393933 | − | 2.23411i | 0.0151625 | − | 0.0859908i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.776722 | + | 1.34532i | −0.0298519 | + | 0.0517049i | −0.880565 | − | 0.473925i | \(-0.842837\pi\) |
0.850714 | + | 0.525630i | \(0.176170\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.85591 | + | 0.675498i | 0.0712235 | + | 0.0259232i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.87733 | + | 2.41436i | −0.110259 | + | 0.0925186i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 35.3892 | 1.35413 | 0.677065 | − | 0.735923i | \(-0.263252\pi\) | ||||
0.677065 | + | 0.735923i | \(0.263252\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 23.0574 | 0.880977 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −13.4192 | + | 11.2601i | −0.511975 | + | 0.429598i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −56.0570 | − | 20.4031i | −2.13560 | − | 0.777295i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.6411 | + | 34.0195i | −0.747185 | + | 1.29416i | 0.201983 | + | 0.979389i | \(0.435262\pi\) |
−0.949167 | + | 0.314772i | \(0.898072\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.139500 | + | 0.791143i | −0.00529916 | + | 0.0300530i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.92989 | − | 8.53882i | −0.187001 | − | 0.323896i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.0326 | + | 11.7747i | 0.531521 | + | 0.445999i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.58260 | + | 2.39587i | −0.248977 | + | 0.0906201i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.89171 | + | 16.3997i | 0.109218 | + | 0.619409i | 0.989451 | + | 0.144866i | \(0.0462752\pi\) |
−0.880233 | + | 0.474542i | \(0.842614\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.7331 | − | 5.81699i | 0.631100 | − | 0.219392i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.27332 | + | 12.8926i | 0.0856181 | + | 0.485565i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.40033 | − | 0.509678i | 0.0526648 | − | 0.0191684i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 33.3723 | + | 28.0027i | 1.25332 | + | 1.05166i | 0.996360 | + | 0.0852428i | \(0.0271666\pi\) |
0.256964 | + | 0.966421i | \(0.417278\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.19846 | + | 10.7361i | 0.232461 | + | 0.402633i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.0594300 | + | 0.337044i | −0.00222567 | + | 0.0126224i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −23.2631 | + | 40.2929i | −0.869991 | + | 1.50687i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.879385 | − | 0.320070i | −0.0328412 | − | 0.0119532i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −4.94949 | + | 4.15312i | −0.184585 | + | 0.154885i | −0.730398 | − | 0.683022i | \(-0.760665\pi\) |
0.545813 | + | 0.837907i | \(0.316221\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.31315 | 0.123388 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 28.7297 | 1.06847 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −6.92602 | + | 5.81162i | −0.257226 | + | 0.215838i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.73308 | + | 0.630789i | 0.0642763 | + | 0.0233947i | 0.373958 | − | 0.927446i | \(-0.378000\pi\) |
−0.309682 | + | 0.950840i | \(0.600223\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.0154253 | − | 0.0874810i | 0.000570524 | − | 0.00323560i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.1793 | − | 28.0234i | −0.597597 | − | 1.03507i | −0.993175 | − | 0.116636i | \(-0.962789\pi\) |
0.395578 | − | 0.918433i | \(-0.370544\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −8.81908 | − | 7.40008i | −0.325297 | − | 0.272956i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −32.6215 | + | 11.8733i | −1.20163 | + | 0.437358i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.89899 | + | 10.7697i | 0.0698553 | + | 0.396169i | 0.999608 | + | 0.0279854i | \(0.00890918\pi\) |
−0.929753 | + | 0.368184i | \(0.879980\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 26.6616 | − | 9.26849i | 0.979439 | − | 0.340487i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.81820 | + | 10.3115i | 0.0667033 | + | 0.378293i | 0.999825 | + | 0.0187314i | \(0.00596273\pi\) |
−0.933121 | + | 0.359562i | \(0.882926\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.0839 | + | 8.03790i | −0.809093 | + | 0.294486i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.47771 | − | 5.43545i | −0.237007 | − | 0.198873i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.29245 | + | 2.23859i | 0.0472252 | + | 0.0817964i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.58079 | − | 25.9789i | 0.167155 | − | 0.947984i | −0.779659 | − | 0.626204i | \(-0.784608\pi\) |
0.946814 | − | 0.321780i | \(-0.104281\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.0929 | + | 20.9455i | −0.440688 | + | 0.763295i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 23.6065 | + | 8.59208i | 0.859130 | + | 0.312698i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.4715 | − | 14.6604i | 0.635014 | − | 0.532840i | −0.267469 | − | 0.963567i | \(-0.586187\pi\) |
0.902482 | + | 0.430727i | \(0.141743\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.461104 | 0.0167370 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 41.5012 | 1.50442 | 0.752209 | − | 0.658924i | \(-0.228988\pi\) | ||||
0.752209 | + | 0.658924i | \(0.228988\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.675708 | − | 0.566986i | 0.0244623 | − | 0.0205263i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.29339 | − | 1.19869i | −0.119073 | − | 0.0433389i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −32.6746 | + | 56.5940i | −1.17981 | + | 2.04349i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.29948 | − | 18.7123i | 0.118982 | − | 0.674782i | −0.865719 | − | 0.500530i | \(-0.833138\pi\) |
0.984701 | − | 0.174251i | \(-0.0557505\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.40033 | + | 7.62159i | 0.158474 | + | 0.274485i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 13.1329 | + | 11.0198i | 0.472359 | + | 0.396356i | 0.847654 | − | 0.530549i | \(-0.178014\pi\) |
−0.375295 | + | 0.926905i | \(0.622459\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.87851 | − | 2.50357i | 0.247083 | − | 0.0899310i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.130415 | + | 0.739620i | 0.00467861 | + | 0.0265337i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −19.2973 | + | 32.3319i | −0.691396 | + | 1.15841i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.05122 | + | 17.3043i | 0.109181 | + | 0.619198i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.74510 | − | 1.36310i | 0.133839 | − | 0.0487134i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.9055 | − | 9.98994i | −0.424927 | − | 0.356556i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.10014 | − | 15.7619i | −0.324385 | − | 0.561851i | 0.657003 | − | 0.753888i | \(-0.271824\pi\) |
−0.981388 | + | 0.192037i | \(0.938491\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.227148 | − | 1.28822i | 0.00808670 | − | 0.0458619i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.0696407 | + | 0.120621i | −0.00247614 | + | 0.00428880i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 21.8837 | + | 7.96502i | 0.777114 | + | 0.282846i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −11.6630 | + | 9.78639i | −0.413643 | + | 0.347088i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −26.4584 | −0.937205 | −0.468603 | − | 0.883409i | \(-0.655242\pi\) | ||||
−0.468603 | + | 0.883409i | \(0.655242\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −16.7980 | −0.594270 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.7404 | + | 11.5295i | −0.485491 | + | 0.407376i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −62.0840 | − | 22.5967i | −2.19090 | − | 0.797421i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0161968 | − | 0.0280537i | 0.000570862 | − | 0.000988762i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −1.51960 | + | 8.61808i | −0.0534925 | + | 0.303371i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.2836 | + | 26.4719i | 0.537342 | + | 0.930704i | 0.999046 | + | 0.0436699i | \(0.0139050\pi\) |
−0.461704 | + | 0.887034i | \(0.652762\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.25284 | + | 4.40766i | 0.184452 | + | 0.154774i | 0.730338 | − | 0.683086i | \(-0.239362\pi\) |
−0.545886 | + | 0.837859i | \(0.683807\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 12.9179 | − | 4.70172i | 0.453050 | − | 0.164897i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.18789 | − | 12.4081i | −0.0766385 | − | 0.434638i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.182571 | + | 0.00264750i | 0.00638735 | + | 9.26245e-5i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.207796 | + | 1.17847i | 0.00726100 | + | 0.0411792i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −37.2870 | + | 13.5714i | −1.30133 | + | 0.473644i | −0.897429 | − | 0.441160i | \(-0.854567\pi\) |
−0.403898 | + | 0.914804i | \(0.632345\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 35.7900 | + | 30.0314i | 1.24756 | + | 1.04683i | 0.996894 | + | 0.0787539i | \(0.0250941\pi\) |
0.250666 | + | 0.968074i | \(0.419350\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.93107 | − | 8.54087i | −0.171678 | − | 0.297355i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 7.27884 | − | 41.2803i | 0.253110 | − | 1.43546i | −0.547768 | − | 0.836630i | \(-0.684522\pi\) |
0.800878 | − | 0.598828i | \(-0.204367\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.251030 | − | 0.434796i | 0.00871862 | − | 0.0151011i | −0.861633 | − | 0.507532i | \(-0.830558\pi\) |
0.870352 | + | 0.492430i | \(0.163891\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 23.4996 | + | 8.55315i | 0.815192 | + | 0.296706i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 11.3159 | − | 9.49519i | 0.392073 | − | 0.328989i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.4270 | −0.983755 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.22668 | −0.111530 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 24.0646 | − | 20.1926i | 0.830804 | − | 0.697127i | −0.124672 | − | 0.992198i | \(-0.539788\pi\) |
0.955475 | + | 0.295071i | \(0.0953433\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.3252 | + | 4.48599i | 0.425006 | + | 0.154689i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.07785 | − | 10.5271i | 0.209332 | − | 0.362574i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.30376 | + | 47.0930i | −0.285658 | + | 1.62005i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.729837 | + | 1.26411i | 0.0250775 | + | 0.0434355i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −8.19459 | − | 6.87608i | −0.281238 | − | 0.235986i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.405078 | − | 0.147436i | 0.0138859 | − | 0.00505405i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.26682 | + | 18.5270i | 0.111854 | + | 0.634354i | 0.988260 | + | 0.152781i | \(0.0488230\pi\) |
−0.876406 | + | 0.481572i | \(0.840066\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.35369 | − | 7.07564i | 0.0462953 | − | 0.241982i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 5.20305 | + | 29.5080i | 0.177733 | + | 1.00797i | 0.934942 | + | 0.354800i | \(0.115451\pi\) |
−0.757209 | + | 0.653172i | \(0.773438\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −31.1698 | + | 11.3449i | −1.06350 | + | 0.387083i | −0.813743 | − | 0.581225i | \(-0.802573\pi\) |
−0.249758 | + | 0.968308i | \(0.580351\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.22281 | − | 1.02606i | −0.0416733 | − | 0.0349680i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −19.1238 | − | 33.1233i | −0.650981 | − | 1.12753i | −0.982885 | − | 0.184219i | \(-0.941025\pi\) |
0.331905 | − | 0.943313i | \(-0.392309\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.90090 | − | 10.7806i | 0.0646326 | − | 0.366550i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.25150 | + | 10.8279i | −0.212312 | + | 0.367735i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 50.6430 | + | 18.4325i | 1.71794 | + | 0.625281i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −39.6129 | + | 33.2392i | −1.34223 | + | 1.12627i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.6878 | 0.361727 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.21987 | −0.0750455 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −36.8981 | + | 30.9612i | −1.24596 | + | 1.04549i | −0.248927 | + | 0.968522i | \(0.580078\pi\) |
−0.997034 | + | 0.0769627i | \(0.975478\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −12.5424 | − | 4.56504i | −0.423043 | − | 0.153975i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −18.8542 | + | 32.6564i | −0.635213 | + | 1.10022i | 0.351257 | + | 0.936279i | \(0.385754\pi\) |
−0.986470 | + | 0.163942i | \(0.947579\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.27022 | − | 29.8889i | 0.177357 | − | 1.00584i | −0.758031 | − | 0.652219i | \(-0.773838\pi\) |
0.935388 | − | 0.353623i | \(-0.115050\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 8.33915 | + | 14.4438i | 0.280317 | + | 0.485524i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0.709856 | + | 0.595640i | 0.0238346 | + | 0.0199996i | 0.654627 | − | 0.755952i | \(-0.272826\pi\) |
−0.630793 | + | 0.775952i | \(0.717270\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.87939 | − | 0.684040i | 0.0630326 | − | 0.0229420i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.754900 | + | 4.28125i | 0.0252901 | + | 0.143427i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −5.50206 | − | 34.0868i | −0.184119 | − | 1.14067i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.14853 | − | 34.8700i | −0.205523 | − | 1.16558i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.645430 | − | 0.234917i | 0.0215503 | − | 0.00784366i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 9.85117 | + | 8.26611i | 0.328555 | + | 0.275690i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.76769 | − | 16.9181i | −0.325409 | − | 0.563625i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.00134417 | + | 0.00762319i | −4.47313e−5 | + | 0.000253684i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −14.2007 | + | 24.5963i | −0.472047 | + | 0.817609i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.98932 | − | 1.45199i | −0.132463 | − | 0.0482127i | 0.274938 | − | 0.961462i | \(-0.411343\pi\) |
−0.407401 | + | 0.913249i | \(0.633565\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.17752 | − | 5.18355i | 0.204895 | − | 0.171928i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 56.5509 | 1.87361 | 0.936807 | − | 0.349847i | \(-0.113766\pi\) | ||||
0.936807 | + | 0.349847i | \(0.113766\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −36.7610 | −1.21661 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.55303 | − | 3.82045i | 0.150519 | − | 0.126300i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −1.88326 | − | 0.685449i | −0.0621906 | − | 0.0226355i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 29.4778 | − | 51.0570i | 0.972382 | − | 1.68421i | 0.284064 | − | 0.958805i | \(-0.408317\pi\) |
0.688318 | − | 0.725409i | \(-0.258350\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.71987 | − | 15.4252i | 0.0896229 | − | 0.508277i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 13.0869 | + | 22.6672i | 0.430762 | + | 0.746101i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.06283 | − | 5.92642i | −0.232225 | − | 0.194860i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 16.8478 | − | 6.13208i | 0.553353 | − | 0.201404i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.15446 | − | 12.2185i | −0.0706855 | − | 0.400877i | −0.999537 | − | 0.0304252i | \(-0.990314\pi\) |
0.928852 | − | 0.370452i | \(-0.120797\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 22.9743 | + | 19.8525i | 0.752953 | + | 0.650638i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.58125 | + | 8.96773i | 0.0517679 | + | 0.293590i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −14.3173 | + | 5.21108i | −0.468227 | + | 0.170421i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.2973 | + | 17.8705i | 0.695751 | + | 0.583804i | 0.920561 | − | 0.390598i | \(-0.127732\pi\) |
−0.224810 | + | 0.974403i | \(0.572176\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.87346 | + | 15.3693i | 0.289574 | + | 0.501557i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −3.46632 | + | 19.6585i | −0.112999 | + | 0.640848i | 0.874723 | + | 0.484623i | \(0.161043\pi\) |
−0.987722 | + | 0.156224i | \(0.950068\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.458111 | + | 0.793471i | −0.0149181 | + | 0.0258390i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.286989 | + | 0.104455i | 0.00933575 | + | 0.00339794i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −22.9807 | + | 19.2831i | −0.746773 | + | 0.626617i | −0.934647 | − | 0.355576i | \(-0.884285\pi\) |
0.187875 | + | 0.982193i | \(0.439840\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −98.4143 | −3.19466 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −31.0455 | −1.00672 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 17.5713 | − | 14.7441i | 0.569190 | − | 0.477607i | −0.312187 | − | 0.950021i | \(-0.601062\pi\) |
0.881377 | + | 0.472414i | \(0.156617\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.2096 | + | 3.71599i | 0.330375 | + | 0.120247i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.66297 | − | 15.0047i | 0.280034 | − | 0.485033i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.447682 | − | 2.53893i | 0.0144564 | − | 0.0819863i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.2943 | + | 17.8302i | 0.332073 | + | 0.575167i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 10.7155 | + | 8.99140i | 0.345303 | + | 0.289744i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −17.6227 | + | 6.41415i | −0.567296 | + | 0.206479i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.57233 | + | 37.2735i | 0.211352 | + | 1.19864i | 0.887126 | + | 0.461527i | \(0.152698\pi\) |
−0.675774 | + | 0.737109i | \(0.736191\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.63934 | + | 3.28709i | 0.277536 | + | 0.105597i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.09421 | + | 28.8907i | 0.163481 | + | 0.927146i | 0.950617 | + | 0.310367i | \(0.100452\pi\) |
−0.787136 | + | 0.616779i | \(0.788437\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.03596 | + | 0.377058i | −0.0332113 | + | 0.0120879i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −11.2536 | − | 9.44285i | −0.360402 | − | 0.302413i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −7.08054 | − | 12.2638i | −0.226526 | − | 0.392355i | 0.730250 | − | 0.683180i | \(-0.239404\pi\) |
−0.956776 | + | 0.290825i | \(0.906070\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.5405 | + | 76.7918i | −0.432755 | + | 2.45428i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.38666 | − | 4.13381i | 0.0762002 | − | 0.131983i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −32.6724 | − | 11.8918i | −1.04209 | − | 0.379288i | −0.236416 | − | 0.971652i | \(-0.575973\pi\) |
−0.805671 | + | 0.592364i | \(0.798195\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.16385 | + | 6.85028i | −0.260122 | + | 0.218268i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.46379 | 0.0465930 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.00444304 | 0.000141280 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.20393 | − | 3.52751i | 0.133542 | − | 0.112055i | −0.573570 | − | 0.819156i | \(-0.694442\pi\) |
0.707112 | + | 0.707101i | \(0.249998\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 9.47178 | + | 3.44745i | 0.300578 | + | 0.109401i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −13.8204 | + | 23.9377i | −0.438137 | + | 0.758875i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.67128 | + | 9.47832i | −0.0529301 | + | 0.300182i | −0.999768 | − | 0.0215289i | \(-0.993147\pi\) |
0.946838 | + | 0.321710i | \(0.104258\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.03209 | + | 3.51968i | 0.0642924 | + | 0.111358i |
(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 | 912.2.bo.c.769.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.b.85.1 | yes | 6 | ||
12.11 | even | 2 | 342.2.u.d.199.1 | 6 | |||
19.17 | even | 9 | inner | 912.2.bo.c.625.1 | 6 | ||
76.51 | even | 18 | 2166.2.a.n.1.2 | 3 | |||
76.55 | odd | 18 | 114.2.i.b.55.1 | ✓ | 6 | ||
76.63 | odd | 18 | 2166.2.a.t.1.2 | 3 | |||
228.131 | even | 18 | 342.2.u.d.55.1 | 6 | |||
228.203 | odd | 18 | 6498.2.a.bt.1.2 | 3 | |||
228.215 | even | 18 | 6498.2.a.bo.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.b.55.1 | ✓ | 6 | 76.55 | odd | 18 | ||
114.2.i.b.85.1 | yes | 6 | 4.3 | odd | 2 | ||
342.2.u.d.55.1 | 6 | 228.131 | even | 18 | |||
342.2.u.d.199.1 | 6 | 12.11 | even | 2 | |||
912.2.bo.c.625.1 | 6 | 19.17 | even | 9 | inner | ||
912.2.bo.c.769.1 | 6 | 1.1 | even | 1 | trivial | ||
2166.2.a.n.1.2 | 3 | 76.51 | even | 18 | |||
2166.2.a.t.1.2 | 3 | 76.63 | odd | 18 | |||
6498.2.a.bo.1.2 | 3 | 228.215 | even | 18 | |||
6498.2.a.bt.1.2 | 3 | 228.203 | odd | 18 |