Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(190,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.f (of order \(3\), degree \(2\), 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.1156923.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 12x^{4} - 19x^{3} + 27x^{2} - 18x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 379.3 | ||
Root | \(0.500000 + 0.0585812i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 567.379 |
Dual form | 567.2.f.m.190.3 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07255 | − | 1.85771i | 0.758408 | − | 1.31360i | −0.185254 | − | 0.982691i | \(-0.559311\pi\) |
0.943662 | − | 0.330911i | \(-0.107356\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.30073 | − | 2.25294i | −0.650366 | − | 1.12647i | ||||
\(5\) | 1.87328 | + | 3.24462i | 0.837758 | + | 1.45104i | 0.891765 | + | 0.452499i | \(0.149467\pi\) |
−0.0540067 | + | 0.998541i | \(0.517199\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.500000 | + | 0.866025i | −0.188982 | + | 0.327327i | ||||
\(8\) | −1.29021 | −0.456156 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 8.03677 | 2.54145 | ||||||||
\(11\) | −0.373284 | + | 0.646547i | −0.112549 | + | 0.194941i | −0.916797 | − | 0.399352i | \(-0.869235\pi\) |
0.804248 | + | 0.594294i | \(0.202568\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.01839 | + | 5.22800i | 0.837150 | + | 1.44999i | 0.892268 | + | 0.451506i | \(0.149113\pi\) |
−0.0551181 | + | 0.998480i | \(0.517554\pi\) | |||||||
\(14\) | 1.07255 | + | 1.85771i | 0.286651 | + | 0.496495i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.21765 | − | 2.10904i | 0.304414 | − | 0.527260i | ||||
\(17\) | 0.543637 | 0.131851 | 0.0659257 | − | 0.997825i | \(-0.479000\pi\) | ||||
0.0659257 | + | 0.997825i | \(0.479000\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.20293 | −0.275971 | −0.137986 | − | 0.990434i | \(-0.544063\pi\) | ||||
−0.137986 | + | 0.990434i | \(0.544063\pi\) | |||||||
\(20\) | 4.87328 | − | 8.44078i | 1.08970 | − | 1.88741i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.800733 | + | 1.38691i | 0.170717 | + | 0.295690i | ||||
\(23\) | −3.74657 | − | 6.48925i | −0.781213 | − | 1.35310i | −0.931235 | − | 0.364419i | \(-0.881268\pi\) |
0.150022 | − | 0.988683i | \(-0.452066\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.51839 | + | 7.82608i | −0.903677 | + | 1.56522i | ||||
\(26\) | 12.9495 | 2.53961 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.60147 | 0.491631 | ||||||||
\(29\) | 4.01839 | − | 6.96005i | 0.746196 | − | 1.29245i | −0.203438 | − | 0.979088i | \(-0.565212\pi\) |
0.949634 | − | 0.313361i | \(-0.101455\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.00000 | − | 1.73205i | −0.179605 | − | 0.311086i | 0.762140 | − | 0.647412i | \(-0.224149\pi\) |
−0.941745 | + | 0.336327i | \(0.890815\pi\) | |||||||
\(32\) | −3.90220 | − | 6.75881i | −0.689818 | − | 1.19480i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.583079 | − | 1.00992i | 0.0999972 | − | 0.173200i | ||||
\(35\) | −3.74657 | −0.633286 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.00000 | 0.821995 | 0.410997 | − | 0.911636i | \(-0.365181\pi\) | ||||
0.410997 | + | 0.911636i | \(0.365181\pi\) | |||||||
\(38\) | −1.29021 | + | 2.23470i | −0.209299 | + | 0.362516i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.41692 | − | 4.18623i | −0.382149 | − | 0.661901i | ||||
\(41\) | −1.39853 | − | 2.42233i | −0.218414 | − | 0.378305i | 0.735909 | − | 0.677080i | \(-0.236755\pi\) |
−0.954323 | + | 0.298776i | \(0.903422\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.91692 | + | 8.51636i | −0.749823 | + | 1.29873i | 0.198084 | + | 0.980185i | \(0.436528\pi\) |
−0.947907 | + | 0.318547i | \(0.896805\pi\) | |||||||
\(44\) | 1.94217 | 0.292793 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −16.0735 | −2.36992 | ||||||||
\(47\) | −2.14510 | + | 3.71543i | −0.312895 | + | 0.541951i | −0.978988 | − | 0.203918i | \(-0.934632\pi\) |
0.666092 | + | 0.745869i | \(0.267966\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | 9.69240 | + | 16.7877i | 1.37071 | + | 2.37414i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.85223 | − | 13.6005i | 1.08891 | − | 1.88604i | ||||
\(53\) | −2.45636 | −0.337407 | −0.168704 | − | 0.985667i | \(-0.553958\pi\) | ||||
−0.168704 | + | 0.985667i | \(0.553958\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.79707 | −0.377157 | ||||||||
\(56\) | 0.645103 | − | 1.11735i | 0.0862055 | − | 0.149312i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −8.61985 | − | 14.9300i | −1.13184 | − | 1.96041i | ||||
\(59\) | −7.29021 | − | 12.6270i | −0.949104 | − | 1.64390i | −0.747318 | − | 0.664467i | \(-0.768659\pi\) |
−0.201786 | − | 0.979430i | \(-0.564675\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.61985 | − | 8.00182i | 0.591511 | − | 1.02453i | −0.402518 | − | 0.915412i | \(-0.631865\pi\) |
0.994029 | − | 0.109116i | \(-0.0348019\pi\) | |||||||
\(62\) | −4.29021 | −0.544857 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.8706 | −1.48383 | ||||||||
\(65\) | −11.3086 | + | 19.5871i | −1.40266 | + | 2.42948i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.11985 | − | 8.86784i | −0.625490 | − | 1.08338i | −0.988446 | − | 0.151574i | \(-0.951566\pi\) |
0.362956 | − | 0.931806i | \(-0.381767\pi\) | |||||||
\(68\) | −0.707127 | − | 1.22478i | −0.0857517 | − | 0.148526i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.01839 | + | 6.96005i | −0.480289 | + | 0.831885i | ||||
\(71\) | 8.23970 | 0.977873 | 0.488937 | − | 0.872319i | \(-0.337385\pi\) | ||||
0.488937 | + | 0.872319i | \(0.337385\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.0368 | 1.17472 | 0.587358 | − | 0.809327i | \(-0.300168\pi\) | ||||
0.587358 | + | 0.809327i | \(0.300168\pi\) | |||||||
\(74\) | 5.36276 | − | 9.28857i | 0.623408 | − | 1.07977i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.56469 | + | 2.71013i | 0.179482 | + | 0.310873i | ||||
\(77\) | −0.373284 | − | 0.646547i | −0.0425397 | − | 0.0736809i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.11985 | + | 8.86784i | −0.576028 | + | 0.997710i | 0.419901 | + | 0.907570i | \(0.362065\pi\) |
−0.995929 | + | 0.0901404i | \(0.971268\pi\) | |||||||
\(80\) | 9.12405 | 1.02010 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.00000 | −0.662589 | ||||||||
\(83\) | 1.39853 | − | 2.42233i | 0.153509 | − | 0.265886i | −0.779006 | − | 0.627016i | \(-0.784276\pi\) |
0.932515 | + | 0.361131i | \(0.117609\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.01839 | + | 1.76390i | 0.110460 | + | 0.191322i | ||||
\(86\) | 10.5473 | + | 18.2685i | 1.13734 | + | 1.96994i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.481613 | − | 0.834179i | 0.0513401 | − | 0.0889237i | ||||
\(89\) | −6.54364 | −0.693624 | −0.346812 | − | 0.937935i | \(-0.612736\pi\) | ||||
−0.346812 | + | 0.937935i | \(0.612736\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.03677 | −0.632826 | ||||||||
\(92\) | −9.74657 | + | 16.8816i | −1.01615 | + | 1.76002i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.60147 | + | 7.96997i | 0.474605 | + | 0.822040i | ||||
\(95\) | −2.25343 | − | 3.90306i | −0.231197 | − | 0.400445i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.60147 | + | 4.50587i | −0.264139 | + | 0.457502i | −0.967338 | − | 0.253491i | \(-0.918421\pi\) |
0.703199 | + | 0.710993i | \(0.251754\pi\) | |||||||
\(98\) | −2.14510 | −0.216688 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 23.5089 | 2.35089 | ||||||||
\(101\) | −2.25343 | + | 3.90306i | −0.224225 | + | 0.388369i | −0.956087 | − | 0.293084i | \(-0.905318\pi\) |
0.731862 | + | 0.681453i | \(0.238652\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.43531 | + | 9.41423i | 0.535557 | + | 0.927612i | 0.999136 | + | 0.0415562i | \(0.0132316\pi\) |
−0.463579 | + | 0.886055i | \(0.653435\pi\) | |||||||
\(104\) | −3.89434 | − | 6.74519i | −0.381871 | − | 0.661421i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.63458 | + | 4.56322i | −0.255893 | + | 0.443219i | ||||
\(107\) | 3.32698 | 0.321631 | 0.160816 | − | 0.986984i | \(-0.448588\pi\) | ||||
0.160816 | + | 0.986984i | \(0.448588\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.63091 | −0.539343 | −0.269672 | − | 0.962952i | \(-0.586915\pi\) | ||||
−0.269672 | + | 0.962952i | \(0.586915\pi\) | |||||||
\(110\) | −3.00000 | + | 5.19615i | −0.286039 | + | 0.495434i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.21765 | + | 2.10904i | 0.115057 | + | 0.199285i | ||||
\(113\) | 1.29707 | + | 2.24659i | 0.122018 | + | 0.211341i | 0.920563 | − | 0.390593i | \(-0.127730\pi\) |
−0.798545 | + | 0.601935i | \(0.794397\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.0368 | − | 24.3124i | 1.30894 | − | 2.26714i | ||||
\(116\) | −20.9074 | −1.94120 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −31.2765 | −2.87923 | ||||||||
\(119\) | −0.271819 | + | 0.470804i | −0.0249176 | + | 0.0431585i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.22132 | + | 9.04359i | 0.474665 | + | 0.822144i | ||||
\(122\) | −9.91006 | − | 17.1647i | −0.897214 | − | 1.55402i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.60147 | + | 4.50587i | −0.233619 | + | 0.404639i | ||||
\(125\) | −15.1240 | −1.35274 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.83384 | 0.872612 | 0.436306 | − | 0.899798i | \(-0.356286\pi\) | ||||
0.436306 | + | 0.899798i | \(0.356286\pi\) | |||||||
\(128\) | −4.92745 | + | 8.53459i | −0.435529 | + | 0.754358i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 24.2581 | + | 42.0162i | 2.12758 | + | 3.68507i | ||||
\(131\) | 2.68874 | + | 4.65703i | 0.234916 | + | 0.406887i | 0.959248 | − | 0.282564i | \(-0.0911851\pi\) |
−0.724332 | + | 0.689451i | \(0.757852\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.601466 | − | 1.04177i | 0.0521537 | − | 0.0903328i | ||||
\(134\) | −21.9652 | −1.89751 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.701404 | −0.0601449 | ||||||||
\(137\) | 5.24657 | − | 9.08732i | 0.448245 | − | 0.776382i | −0.550027 | − | 0.835147i | \(-0.685383\pi\) |
0.998272 | + | 0.0587643i | \(0.0187160\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.39853 | + | 5.88643i | 0.288260 | + | 0.499281i | 0.973394 | − | 0.229136i | \(-0.0735899\pi\) |
−0.685135 | + | 0.728417i | \(0.740257\pi\) | |||||||
\(140\) | 4.87328 | + | 8.44078i | 0.411868 | + | 0.713376i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.83751 | − | 15.3070i | 0.741627 | − | 1.28454i | ||||
\(143\) | −4.50686 | −0.376883 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 30.1103 | 2.50053 | ||||||||
\(146\) | 10.7650 | − | 18.6454i | 0.890914 | − | 1.54311i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.50366 | − | 11.2647i | −0.534598 | − | 0.925951i | ||||
\(149\) | 0.753432 | + | 1.30498i | 0.0617235 | + | 0.106908i | 0.895236 | − | 0.445592i | \(-0.147007\pi\) |
−0.833512 | + | 0.552501i | \(0.813674\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.11985 | − | 5.40374i | 0.253890 | − | 0.439750i | −0.710703 | − | 0.703492i | \(-0.751623\pi\) |
0.964593 | + | 0.263741i | \(0.0849565\pi\) | |||||||
\(152\) | 1.55203 | 0.125886 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.60147 | −0.129050 | ||||||||
\(155\) | 3.74657 | − | 6.48925i | 0.300932 | − | 0.521229i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.2581 | − | 17.7675i | −0.818685 | − | 1.41800i | −0.906652 | − | 0.421880i | \(-0.861370\pi\) |
0.0879667 | − | 0.996123i | \(-0.471963\pi\) | |||||||
\(158\) | 10.9826 | + | 19.0224i | 0.873729 | + | 1.51334i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 14.6199 | − | 25.3223i | 1.15580 | − | 2.00191i | ||||
\(161\) | 7.49314 | 0.590542 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.2397 | −0.958688 | −0.479344 | − | 0.877627i | \(-0.659125\pi\) | ||||
−0.479344 | + | 0.877627i | \(0.659125\pi\) | |||||||
\(164\) | −3.63824 | + | 6.30162i | −0.284099 | + | 0.492073i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.00000 | − | 5.19615i | −0.232845 | − | 0.403300i | ||||
\(167\) | −7.39853 | − | 12.8146i | −0.572516 | − | 0.991626i | −0.996307 | − | 0.0858664i | \(-0.972634\pi\) |
0.423791 | − | 0.905760i | \(-0.360699\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.7213 | + | 20.3019i | −0.901640 | + | 1.56169i | ||||
\(170\) | 4.36909 | 0.335094 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 25.5824 | 1.95064 | ||||||||
\(173\) | 0.910058 | − | 1.57627i | 0.0691904 | − | 0.119841i | −0.829355 | − | 0.558722i | \(-0.811292\pi\) |
0.898545 | + | 0.438881i | \(0.144625\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.51839 | − | 7.82608i | −0.341558 | − | 0.591596i | ||||
\(176\) | 0.909062 | + | 1.57454i | 0.0685231 | + | 0.118686i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.01839 | + | 12.1562i | −0.526050 | + | 0.911146i | ||||
\(179\) | −1.08727 | −0.0812667 | −0.0406333 | − | 0.999174i | \(-0.512938\pi\) | ||||
−0.0406333 | + | 0.999174i | \(0.512938\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.00000 | 0.148659 | 0.0743294 | − | 0.997234i | \(-0.476318\pi\) | ||||
0.0743294 | + | 0.997234i | \(0.476318\pi\) | |||||||
\(182\) | −6.47475 | + | 11.2146i | −0.479940 | + | 0.831281i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.83384 | + | 8.37246i | 0.356356 | + | 0.617226i | ||||
\(185\) | 9.36642 | + | 16.2231i | 0.688633 | + | 1.19275i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.202931 | + | 0.351487i | −0.0148398 | + | 0.0257033i | ||||
\(188\) | 11.1608 | 0.813987 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −9.66769 | −0.701368 | ||||||||
\(191\) | 5.41006 | − | 9.37049i | 0.391458 | − | 0.678025i | −0.601184 | − | 0.799111i | \(-0.705304\pi\) |
0.992642 | + | 0.121085i | \(0.0386375\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.81546 | − | 8.34061i | −0.346624 | − | 0.600371i | 0.639023 | − | 0.769187i | \(-0.279339\pi\) |
−0.985647 | + | 0.168817i | \(0.946005\pi\) | |||||||
\(194\) | 5.58041 | + | 9.66555i | 0.400650 | + | 0.693946i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.30073 | + | 2.25294i | −0.0929095 | + | 0.160924i | ||||
\(197\) | −19.4794 | −1.38785 | −0.693925 | − | 0.720047i | \(-0.744120\pi\) | ||||
−0.693925 | + | 0.720047i | \(0.744120\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.8706 | −1.19593 | −0.597963 | − | 0.801524i | \(-0.704023\pi\) | ||||
−0.597963 | + | 0.801524i | \(0.704023\pi\) | |||||||
\(200\) | 5.82965 | − | 10.0972i | 0.412218 | − | 0.713983i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.83384 | + | 8.37246i | 0.340108 | + | 0.589084i | ||||
\(203\) | 4.01839 | + | 6.96005i | 0.282035 | + | 0.488500i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.23970 | − | 9.07543i | 0.365957 | − | 0.633856i | ||||
\(206\) | 23.3186 | 1.62468 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 14.7014 | 1.01936 | ||||||||
\(209\) | 0.449035 | − | 0.777752i | 0.0310604 | − | 0.0537982i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.91692 | − | 3.32021i | −0.131966 | − | 0.228572i | 0.792468 | − | 0.609913i | \(-0.208796\pi\) |
−0.924434 | + | 0.381341i | \(0.875462\pi\) | |||||||
\(212\) | 3.19507 | + | 5.53403i | 0.219438 | + | 0.380079i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.56836 | − | 6.18057i | 0.243928 | − | 0.422495i | ||||
\(215\) | −36.8432 | −2.51268 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.00000 | 0.135769 | ||||||||
\(218\) | −6.03944 | + | 10.4606i | −0.409043 | + | 0.708483i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.63824 | + | 6.30162i | 0.245290 | + | 0.424855i | ||||
\(221\) | 1.64091 | + | 2.84213i | 0.110379 | + | 0.191183i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.23970 | + | 10.8075i | −0.417842 | + | 0.723723i | −0.995722 | − | 0.0923986i | \(-0.970547\pi\) |
0.577881 | + | 0.816121i | \(0.303880\pi\) | |||||||
\(224\) | 7.80440 | 0.521453 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.56469 | 0.370158 | ||||||||
\(227\) | −10.9284 | + | 18.9286i | −0.725346 | + | 1.25634i | 0.233485 | + | 0.972360i | \(0.424987\pi\) |
−0.958831 | + | 0.283976i | \(0.908346\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.61985 | − | 16.6621i | −0.635698 | − | 1.10106i | −0.986367 | − | 0.164561i | \(-0.947379\pi\) |
0.350669 | − | 0.936499i | \(-0.385954\pi\) | |||||||
\(230\) | −30.1103 | − | 52.1526i | −1.98542 | − | 3.43884i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.18454 | + | 8.97989i | −0.340382 | + | 0.589559i | ||||
\(233\) | 11.4564 | 0.750531 | 0.375266 | − | 0.926917i | \(-0.377551\pi\) | ||||
0.375266 | + | 0.926917i | \(0.377551\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −16.0735 | −1.04852 | ||||||||
\(236\) | −18.9652 | + | 32.8487i | −1.23453 | + | 2.13827i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.583079 | + | 1.00992i | 0.0377954 | + | 0.0654635i | ||||
\(239\) | −2.08308 | − | 3.60800i | −0.134743 | − | 0.233382i | 0.790756 | − | 0.612131i | \(-0.209688\pi\) |
−0.925499 | + | 0.378749i | \(0.876354\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.61985 | + | 11.4659i | −0.426422 | + | 0.738585i | −0.996552 | − | 0.0829697i | \(-0.973560\pi\) |
0.570130 | + | 0.821555i | \(0.306893\pi\) | |||||||
\(242\) | 22.4005 | 1.43996 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −24.0368 | −1.53880 | ||||||||
\(245\) | 1.87328 | − | 3.24462i | 0.119680 | − | 0.207291i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.63091 | − | 6.28892i | −0.231029 | − | 0.400155i | ||||
\(248\) | 1.29021 | + | 2.23470i | 0.0819281 | + | 0.141904i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −16.2213 | + | 28.0961i | −1.02593 | + | 1.77696i | ||||
\(251\) | 12.8706 | 0.812386 | 0.406193 | − | 0.913787i | \(-0.366856\pi\) | ||||
0.406193 | + | 0.913787i | \(0.366856\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.59414 | 0.351700 | ||||||||
\(254\) | 10.5473 | − | 18.2685i | 0.661797 | − | 1.14627i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.30073 | − | 2.25294i | −0.0812958 | − | 0.140808i | ||||
\(257\) | 0.0688875 | + | 0.119317i | 0.00429708 | + | 0.00744276i | 0.868166 | − | 0.496274i | \(-0.165299\pi\) |
−0.863869 | + | 0.503717i | \(0.831966\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.50000 | + | 4.33013i | −0.155342 | + | 0.269061i | ||||
\(260\) | 58.8378 | 3.64897 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.5352 | 0.712650 | ||||||||
\(263\) | 5.62672 | − | 9.74576i | 0.346958 | − | 0.600949i | −0.638749 | − | 0.769415i | \(-0.720548\pi\) |
0.985708 | + | 0.168466i | \(0.0538812\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.60147 | − | 7.96997i | −0.282666 | − | 0.489591i | ||||
\(266\) | −1.29021 | − | 2.23470i | −0.0791076 | − | 0.137018i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −13.3191 | + | 23.0694i | −0.813595 | + | 1.40919i | ||||
\(269\) | −5.45636 | −0.332680 | −0.166340 | − | 0.986068i | \(-0.553195\pi\) | ||||
−0.166340 | + | 0.986068i | \(0.553195\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.12938 | −0.190097 | −0.0950483 | − | 0.995473i | \(-0.530301\pi\) | ||||
−0.0950483 | + | 0.995473i | \(0.530301\pi\) | |||||||
\(272\) | 0.661962 | − | 1.14655i | 0.0401373 | − | 0.0695199i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −11.2544 | − | 19.4932i | −0.679905 | − | 1.17763i | ||||
\(275\) | −3.37328 | − | 5.84270i | −0.203417 | − | 0.352328i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.31546 | − | 7.47459i | 0.259291 | − | 0.449104i | −0.706761 | − | 0.707452i | \(-0.749845\pi\) |
0.966052 | + | 0.258347i | \(0.0831779\pi\) | |||||||
\(278\) | 14.5804 | 0.874475 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.83384 | 0.288877 | ||||||||
\(281\) | −6.53677 | + | 11.3220i | −0.389951 | + | 0.675415i | −0.992443 | − | 0.122710i | \(-0.960841\pi\) |
0.602491 | + | 0.798125i | \(0.294175\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.80440 | + | 11.7856i | 0.404479 | + | 0.700579i | 0.994261 | − | 0.106984i | \(-0.0341194\pi\) |
−0.589781 | + | 0.807563i | \(0.700786\pi\) | |||||||
\(284\) | −10.7177 | − | 18.5635i | −0.635976 | − | 1.10154i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.83384 | + | 8.37246i | −0.285831 | + | 0.495074i | ||||
\(287\) | 2.79707 | 0.165106 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.7045 | −0.982615 | ||||||||
\(290\) | 32.2949 | − | 55.9363i | 1.89642 | − | 3.28470i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −13.0552 | − | 22.6122i | −0.763995 | − | 1.32328i | ||||
\(293\) | 5.41692 | + | 9.38238i | 0.316460 | + | 0.548125i | 0.979747 | − | 0.200241i | \(-0.0641724\pi\) |
−0.663287 | + | 0.748365i | \(0.730839\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 27.3133 | − | 47.3079i | 1.59024 | − | 2.75437i | ||||
\(296\) | −6.45103 | −0.374958 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.23238 | 0.187247 | ||||||||
\(299\) | 22.6172 | − | 39.1741i | 1.30799 | − | 2.26550i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.91692 | − | 8.51636i | −0.283407 | − | 0.490875i | ||||
\(302\) | −6.69240 | − | 11.5916i | −0.385105 | − | 0.667021i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.46475 | + | 2.53703i | −0.0840094 | + | 0.145509i | ||||
\(305\) | 34.6172 | 1.98217 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.0735 | 1.03151 | 0.515756 | − | 0.856736i | \(-0.327511\pi\) | ||||
0.515756 | + | 0.856736i | \(0.327511\pi\) | |||||||
\(308\) | −0.971086 | + | 1.68197i | −0.0553327 | + | 0.0958391i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −8.03677 | − | 13.9201i | −0.456458 | − | 0.790609i | ||||
\(311\) | 2.14510 | + | 3.71543i | 0.121638 | + | 0.210683i | 0.920414 | − | 0.390946i | \(-0.127852\pi\) |
−0.798776 | + | 0.601629i | \(0.794519\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.77868 | + | 4.81282i | −0.157060 | + | 0.272037i | −0.933807 | − | 0.357776i | \(-0.883535\pi\) |
0.776747 | + | 0.629813i | \(0.216868\pi\) | |||||||
\(314\) | −44.0093 | −2.48359 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 26.6382 | 1.49852 | ||||||||
\(317\) | −13.7650 | + | 23.8416i | −0.773117 | + | 1.33908i | 0.162730 | + | 0.986671i | \(0.447970\pi\) |
−0.935847 | + | 0.352407i | \(0.885363\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.00000 | + | 5.19615i | 0.167968 | + | 0.290929i | ||||
\(320\) | −22.2370 | − | 38.5157i | −1.24309 | − | 2.15309i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.03677 | − | 13.9201i | 0.447872 | − | 0.775737i | ||||
\(323\) | −0.653958 | −0.0363872 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −54.5530 | −3.02605 | ||||||||
\(326\) | −13.1277 | + | 22.7379i | −0.727077 | + | 1.25933i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.80440 | + | 3.12531i | 0.0996311 | + | 0.172566i | ||||
\(329\) | −2.14510 | − | 3.71543i | −0.118263 | − | 0.204838i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.07355 | + | 13.9838i | −0.443762 | + | 0.768619i | −0.997965 | − | 0.0637629i | \(-0.979690\pi\) |
0.554203 | + | 0.832382i | \(0.313023\pi\) | |||||||
\(332\) | −7.27648 | −0.399349 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −31.7412 | −1.73680 | ||||||||
\(335\) | 19.1819 | − | 33.2240i | 1.04802 | − | 1.81522i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.555160 | + | 0.961566i | 0.0302415 | + | 0.0523798i | 0.880750 | − | 0.473581i | \(-0.157039\pi\) |
−0.850509 | + | 0.525961i | \(0.823706\pi\) | |||||||
\(338\) | 25.1434 | + | 43.5497i | 1.36762 | + | 2.36879i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.64930 | − | 4.58872i | 0.143678 | − | 0.248858i | ||||
\(341\) | 1.49314 | 0.0808579 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 6.34384 | − | 10.9879i | 0.342037 | − | 0.592425i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.95217 | − | 3.38125i | −0.104949 | − | 0.181777i | ||||
\(347\) | −14.4101 | − | 24.9590i | −0.773572 | − | 1.33987i | −0.935593 | − | 0.353079i | \(-0.885135\pi\) |
0.162021 | − | 0.986787i | \(-0.448199\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.6382 | − | 20.1580i | 0.622981 | − | 1.07903i | −0.365947 | − | 0.930636i | \(-0.619255\pi\) |
0.988928 | − | 0.148398i | \(-0.0474118\pi\) | |||||||
\(350\) | −19.3848 | −1.03616 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.82651 | 0.310554 | ||||||||
\(353\) | 1.18188 | − | 2.04707i | 0.0629049 | − | 0.108955i | −0.832858 | − | 0.553487i | \(-0.813297\pi\) |
0.895763 | + | 0.444532i | \(0.146630\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 15.4353 | + | 26.7347i | 0.819221 | + | 1.41893i | ||||
\(356\) | 8.51152 | + | 14.7424i | 0.451110 | + | 0.781345i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.16616 | + | 2.01984i | −0.0616333 | + | 0.106752i | ||||
\(359\) | 3.32698 | 0.175591 | 0.0877956 | − | 0.996139i | \(-0.472018\pi\) | ||||
0.0877956 | + | 0.996139i | \(0.472018\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.5530 | −0.923840 | ||||||||
\(362\) | 2.14510 | − | 3.71543i | 0.112744 | − | 0.195278i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.85223 | + | 13.6005i | 0.411569 | + | 0.712858i | ||||
\(365\) | 18.8017 | + | 32.5655i | 0.984127 | + | 1.70456i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.83384 | + | 4.90836i | −0.147925 | + | 0.256214i | −0.930461 | − | 0.366392i | \(-0.880593\pi\) |
0.782535 | + | 0.622606i | \(0.213926\pi\) | |||||||
\(368\) | −18.2481 | −0.951248 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 40.1839 | 2.08906 | ||||||||
\(371\) | 1.22818 | − | 2.12727i | 0.0637640 | − | 0.110442i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.7581 | − | 20.3656i | −0.608811 | − | 1.05449i | −0.991437 | − | 0.130588i | \(-0.958313\pi\) |
0.382626 | − | 0.923903i | \(-0.375020\pi\) | |||||||
\(374\) | 0.435308 | + | 0.753976i | 0.0225092 | + | 0.0389872i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.76762 | − | 4.79366i | 0.142729 | − | 0.247214i | ||||
\(377\) | 48.5162 | 2.49871 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 36.7927 | 1.88991 | 0.944956 | − | 0.327197i | \(-0.106104\pi\) | ||||
0.944956 | + | 0.327197i | \(0.106104\pi\) | |||||||
\(380\) | −5.86223 | + | 10.1537i | −0.300726 | + | 0.520872i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.6051 | − | 20.1007i | −0.593770 | − | 1.02844i | ||||
\(383\) | 13.4931 | + | 23.3708i | 0.689467 | + | 1.19419i | 0.972010 | + | 0.234937i | \(0.0754885\pi\) |
−0.282543 | + | 0.959255i | \(0.591178\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.39853 | − | 2.42233i | 0.0712759 | − | 0.123454i | ||||
\(386\) | −20.6593 | −1.05153 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 13.5352 | 0.687148 | ||||||||
\(389\) | −4.49314 | + | 7.78234i | −0.227811 | + | 0.394580i | −0.957159 | − | 0.289563i | \(-0.906490\pi\) |
0.729348 | + | 0.684143i | \(0.239824\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.03677 | − | 3.52780i | −0.103004 | − | 0.178408i | ||||
\(392\) | 0.645103 | + | 1.11735i | 0.0325826 | + | 0.0564347i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −20.8927 | + | 36.1872i | −1.05256 | + | 1.82308i | ||||
\(395\) | −38.3638 | −1.93029 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 28.5015 | 1.43045 | 0.715225 | − | 0.698894i | \(-0.246324\pi\) | ||||
0.715225 | + | 0.698894i | \(0.246324\pi\) | |||||||
\(398\) | −18.0946 | + | 31.3408i | −0.907000 | + | 1.57097i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 11.0037 | + | 19.0589i | 0.550183 | + | 0.952945i | ||||
\(401\) | 3.75343 | + | 6.50113i | 0.187437 | + | 0.324651i | 0.944395 | − | 0.328813i | \(-0.106648\pi\) |
−0.756958 | + | 0.653464i | \(0.773315\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.03677 | − | 10.4560i | 0.300713 | − | 0.520850i | ||||
\(404\) | 11.7245 | 0.583313 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.2397 | 0.855592 | ||||||||
\(407\) | −1.86642 | + | 3.23274i | −0.0925150 | + | 0.160241i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.6199 | + | 23.5903i | 0.673458 | + | 1.16646i | 0.976917 | + | 0.213619i | \(0.0685253\pi\) |
−0.303459 | + | 0.952845i | \(0.598141\pi\) | |||||||
\(410\) | −11.2397 | − | 19.4677i | −0.555089 | − | 0.961443i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.1398 | − | 24.4908i | 0.696616 | − | 1.20657i | ||||
\(413\) | 14.5804 | 0.717455 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.4794 | 0.514414 | ||||||||
\(416\) | 23.5567 | − | 40.8014i | 1.15496 | − | 2.00045i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.963226 | − | 1.66836i | −0.0471129 | − | 0.0816020i | ||||
\(419\) | 9.84117 | + | 17.0454i | 0.480773 | + | 0.832723i | 0.999757 | − | 0.0220613i | \(-0.00702291\pi\) |
−0.518984 | + | 0.854784i | \(0.673690\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.7397 | + | 18.6017i | −0.523421 | + | 0.906592i | 0.476207 | + | 0.879333i | \(0.342011\pi\) |
−0.999628 | + | 0.0272590i | \(0.991322\pi\) | |||||||
\(422\) | −8.22399 | −0.400337 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.16921 | 0.153911 | ||||||||
\(425\) | −2.45636 | + | 4.25455i | −0.119151 | + | 0.206376i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.61985 | + | 8.00182i | 0.223570 | + | 0.387235i | ||||
\(428\) | −4.32751 | − | 7.49547i | −0.209178 | − | 0.362307i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −39.5162 | + | 68.4440i | −1.90564 | + | 3.30066i | ||||
\(431\) | 2.17455 | 0.104744 | 0.0523722 | − | 0.998628i | \(-0.483322\pi\) | ||||
0.0523722 | + | 0.998628i | \(0.483322\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 35.3133 | 1.69705 | 0.848523 | − | 0.529158i | \(-0.177492\pi\) | ||||
0.848523 | + | 0.529158i | \(0.177492\pi\) | |||||||
\(434\) | 2.14510 | − | 3.71543i | 0.102968 | − | 0.178346i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.32431 | + | 12.6861i | 0.350771 | + | 0.607553i | ||||
\(437\) | 4.50686 | + | 7.80612i | 0.215593 | + | 0.373417i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.60147 | − | 16.6302i | 0.458253 | − | 0.793717i | −0.540616 | − | 0.841270i | \(-0.681809\pi\) |
0.998869 | + | 0.0475522i | \(0.0151421\pi\) | |||||||
\(440\) | 3.60879 | 0.172042 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.03983 | 0.334851 | ||||||||
\(443\) | 2.65929 | − | 4.60603i | 0.126347 | − | 0.218839i | −0.795912 | − | 0.605413i | \(-0.793008\pi\) |
0.922259 | + | 0.386573i | \(0.126341\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.2581 | − | 21.2316i | −0.581089 | − | 1.00648i | ||||
\(446\) | 13.3848 | + | 23.1832i | 0.633789 | + | 1.09775i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.93531 | − | 10.2803i | 0.280417 | − | 0.485696i | ||||
\(449\) | 7.36909 | 0.347769 | 0.173884 | − | 0.984766i | \(-0.444368\pi\) | ||||
0.173884 | + | 0.984766i | \(0.444368\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.08820 | 0.0983296 | ||||||||
\(452\) | 3.37428 | − | 5.84442i | 0.158713 | − | 0.274899i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 23.4426 | + | 40.6038i | 1.10022 | + | 1.90563i | ||||
\(455\) | −11.3086 | − | 19.5871i | −0.530155 | − | 0.918255i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.500000 | − | 0.866025i | 0.0233890 | − | 0.0405110i | −0.854094 | − | 0.520119i | \(-0.825888\pi\) |
0.877483 | + | 0.479608i | \(0.159221\pi\) | |||||||
\(458\) | −41.2711 | −1.92847 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −73.0324 | −3.40515 | ||||||||
\(461\) | −15.2324 | + | 26.3833i | −0.709443 | + | 1.22879i | 0.255622 | + | 0.966777i | \(0.417720\pi\) |
−0.965064 | + | 0.262014i | \(0.915613\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.7508 | + | 23.8170i | 0.639052 | + | 1.10687i | 0.985641 | + | 0.168854i | \(0.0540066\pi\) |
−0.346589 | + | 0.938017i | \(0.612660\pi\) | |||||||
\(464\) | −9.78601 | − | 16.9499i | −0.454304 | − | 0.786878i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.2875 | − | 21.2826i | 0.569209 | − | 0.985899i | ||||
\(467\) | 39.1755 | 1.81282 | 0.906412 | − | 0.422394i | \(-0.138810\pi\) | ||||
0.906412 | + | 0.422394i | \(0.138810\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.2397 | 0.472826 | ||||||||
\(470\) | −17.2397 | + | 29.8600i | −0.795208 | + | 1.37734i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.40586 | + | 16.2914i | 0.432940 | + | 0.749874i | ||||
\(473\) | −3.67082 | − | 6.35804i | −0.168784 | − | 0.292343i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.43531 | − | 9.41423i | 0.249389 | − | 0.431954i | ||||
\(476\) | 1.41425 | 0.0648222 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.93684 | −0.408761 | ||||||||
\(479\) | −10.4931 | + | 18.1746i | −0.479444 | + | 0.830421i | −0.999722 | − | 0.0235760i | \(-0.992495\pi\) |
0.520278 | + | 0.853997i | \(0.325828\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.0919 | + | 26.1400i | 0.688133 | + | 1.19188i | ||||
\(482\) | 14.2003 | + | 24.5956i | 0.646804 | + | 1.12030i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.5831 | − | 23.5266i | 0.617413 | − | 1.06939i | ||||
\(485\) | −19.4931 | −0.885138 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.6456 | 1.29805 | 0.649027 | − | 0.760765i | \(-0.275176\pi\) | ||||
0.649027 | + | 0.760765i | \(0.275176\pi\) | |||||||
\(488\) | −5.96056 | + | 10.3240i | −0.269822 | + | 0.467345i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.01839 | − | 6.96005i | −0.181532 | − | 0.314423i | ||||
\(491\) | −16.0735 | − | 27.8402i | −0.725389 | − | 1.25641i | −0.958814 | − | 0.284036i | \(-0.908327\pi\) |
0.233425 | − | 0.972375i | \(-0.425007\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.18454 | − | 3.78374i | 0.0983869 | − | 0.170411i | ||||
\(494\) | −15.5774 | −0.700858 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.87062 | −0.218697 | ||||||||
\(497\) | −4.11985 | + | 7.13579i | −0.184801 | + | 0.320084i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.63091 | + | 16.6812i | 0.431139 | + | 0.746754i | 0.996972 | − | 0.0777656i | \(-0.0247786\pi\) |
−0.565833 | + | 0.824520i | \(0.691445\pi\) | |||||||
\(500\) | 19.6723 | + | 34.0735i | 0.879774 | + | 1.52381i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 13.8044 | − | 23.9099i | 0.616120 | − | 1.06715i | ||||
\(503\) | −36.2206 | −1.61500 | −0.807499 | − | 0.589869i | \(-0.799180\pi\) | ||||
−0.807499 | + | 0.589869i | \(0.799180\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.8853 | −0.751385 | ||||||||
\(506\) | 6.00000 | − | 10.3923i | 0.266733 | − | 0.461994i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.7912 | − | 22.1550i | −0.567518 | − | 0.982970i | ||||
\(509\) | 4.49314 | + | 7.78234i | 0.199155 | + | 0.344946i | 0.948255 | − | 0.317511i | \(-0.102847\pi\) |
−0.749100 | + | 0.662457i | \(0.769514\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.01839 | + | 8.69210i | −0.222000 | + | 0.384516i | ||||
\(512\) | −25.2902 | −1.11768 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.295541 | 0.0130358 | ||||||||
\(515\) | −20.3638 | + | 35.2711i | −0.897334 | + | 1.55423i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.60147 | − | 2.77382i | −0.0704324 | − | 0.121992i | ||||
\(518\) | 5.36276 | + | 9.28857i | 0.235626 | + | 0.408116i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 14.5904 | − | 25.2713i | 0.639832 | − | 1.10822i | ||||
\(521\) | −17.5667 | −0.769610 | −0.384805 | − | 0.922998i | \(-0.625731\pi\) | ||||
−0.384805 | + | 0.922998i | \(0.625731\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.6088 | −1.11979 | −0.559897 | − | 0.828562i | \(-0.689159\pi\) | ||||
−0.559897 | + | 0.828562i | \(0.689159\pi\) | |||||||
\(524\) | 6.99466 | − | 12.1151i | 0.305563 | − | 0.529251i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.0699 | − | 20.9057i | −0.526272 | − | 0.911530i | ||||
\(527\) | −0.543637 | − | 0.941607i | −0.0236812 | − | 0.0410171i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.5735 | + | 28.7062i | −0.720589 | + | 1.24810i | ||||
\(530\) | −19.7412 | −0.857504 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.12938 | −0.135676 | ||||||||
\(533\) | 8.44264 | − | 14.6231i | 0.365691 | − | 0.633396i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.23238 | + | 10.7948i | 0.269449 | + | 0.466700i | ||||
\(536\) | 6.60566 | + | 11.4413i | 0.285321 | + | 0.494191i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.85223 | + | 10.1364i | −0.252308 | + | 0.437009i | ||||
\(539\) | 0.746568 | 0.0321570 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.0735 | −1.76589 | −0.882945 | − | 0.469477i | \(-0.844443\pi\) | ||||
−0.882945 | + | 0.469477i | \(0.844443\pi\) | |||||||
\(542\) | −3.35642 | + | 5.81350i | −0.144171 | + | 0.249711i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.12138 | − | 3.67434i | −0.0909534 | − | 0.157536i | ||||
\(545\) | −10.5483 | − | 18.2702i | −0.451839 | − | 0.782609i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.3228 | − | 31.7360i | 0.783426 | − | 1.35693i | −0.146509 | − | 0.989209i | \(-0.546804\pi\) |
0.929935 | − | 0.367724i | \(-0.119863\pi\) | |||||||
\(548\) | −27.2975 | −1.16609 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −14.4721 | −0.617092 | ||||||||
\(551\) | −4.83384 | + | 8.37246i | −0.205929 | + | 0.356679i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.11985 | − | 8.86784i | −0.217718 | − | 0.377099i | ||||
\(554\) | −9.25710 | − | 16.0338i | −0.393296 | − | 0.681209i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.84117 | − | 15.3134i | 0.374949 | − | 0.649431i | ||||
\(557\) | 13.9127 | 0.589501 | 0.294751 | − | 0.955574i | \(-0.404763\pi\) | ||||
0.294751 | + | 0.955574i | \(0.404763\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −59.3647 | −2.51086 | ||||||||
\(560\) | −4.56202 | + | 7.90166i | −0.192781 | + | 0.333906i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.0221 | + | 24.2869i | 0.591485 | + | 1.02448i | ||||
\(563\) | 0.340706 | + | 0.590120i | 0.0143590 | + | 0.0248706i | 0.873116 | − | 0.487513i | \(-0.162096\pi\) |
−0.858757 | + | 0.512384i | \(0.828763\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.85956 | + | 8.41700i | −0.204443 | + | 0.354106i | ||||
\(566\) | 29.1923 | 1.22704 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.6309 | −0.446063 | ||||||||
\(569\) | 17.0299 | − | 29.4967i | 0.713931 | − | 1.23656i | −0.249439 | − | 0.968390i | \(-0.580246\pi\) |
0.963370 | − | 0.268174i | \(-0.0864203\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.83384 | − | 15.3007i | −0.369685 | − | 0.640313i | 0.619831 | − | 0.784735i | \(-0.287201\pi\) |
−0.989516 | + | 0.144422i | \(0.953868\pi\) | |||||||
\(572\) | 5.86223 | + | 10.1537i | 0.245112 | + | 0.424546i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.00000 | − | 5.19615i | 0.125218 | − | 0.216883i | ||||
\(575\) | 67.7138 | 2.82386 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.5015 | −0.520445 | −0.260223 | − | 0.965549i | \(-0.583796\pi\) | ||||
−0.260223 | + | 0.965549i | \(0.583796\pi\) | |||||||
\(578\) | −17.9164 | + | 31.0321i | −0.745224 | + | 1.29077i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −39.1655 | − | 67.8366i | −1.62626 | − | 2.81676i | ||||
\(581\) | 1.39853 | + | 2.42233i | 0.0580210 | + | 0.100495i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.916921 | − | 1.58815i | 0.0379750 | − | 0.0657746i | ||||
\(584\) | −12.9495 | −0.535854 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 23.2397 | 0.960023 | ||||||||
\(587\) | 22.6823 | − | 39.2870i | 0.936200 | − | 1.62155i | 0.163721 | − | 0.986507i | \(-0.447650\pi\) |
0.772479 | − | 0.635040i | \(-0.219016\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.20293 | + | 2.08354i | 0.0495659 | + | 0.0858507i | ||||
\(590\) | −58.5897 | − | 101.480i | −2.41210 | − | 4.17788i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.08827 | − | 10.5452i | 0.250226 | − | 0.433405i | ||||
\(593\) | 9.93577 | 0.408013 | 0.204007 | − | 0.978970i | \(-0.434604\pi\) | ||||
0.204007 | + | 0.978970i | \(0.434604\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.03677 | −0.0834996 | ||||||||
\(596\) | 1.96003 | − | 3.39487i | 0.0802858 | − | 0.139059i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −48.5162 | − | 84.0325i | −1.98397 | − | 3.43634i | ||||
\(599\) | −9.17035 | − | 15.8835i | −0.374690 | − | 0.648983i | 0.615590 | − | 0.788066i | \(-0.288918\pi\) |
−0.990281 | + | 0.139084i | \(0.955584\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.17722 | + | 2.03900i | −0.0480197 | + | 0.0831725i | −0.889036 | − | 0.457837i | \(-0.848624\pi\) |
0.841017 | + | 0.541009i | \(0.181958\pi\) | |||||||
\(602\) | −21.0946 | −0.859752 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −16.2324 | −0.660486 | ||||||||
\(605\) | −19.5620 | + | 33.8824i | −0.795309 | + | 1.37752i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.8412 | + | 36.0980i | 0.845917 | + | 1.46517i | 0.884822 | + | 0.465928i | \(0.154280\pi\) |
−0.0389055 | + | 0.999243i | \(0.512387\pi\) | |||||||
\(608\) | 4.69408 | + | 8.13038i | 0.190370 | + | 0.329730i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 37.1287 | − | 64.3088i | 1.50330 | − | 2.60379i | ||||
\(611\) | −25.8990 | −1.04776 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.5897 | 0.872001 | 0.436000 | − | 0.899946i | \(-0.356395\pi\) | ||||
0.436000 | + | 0.899946i | \(0.356395\pi\) | |||||||
\(614\) | 19.3848 | − | 33.5755i | 0.782307 | − | 1.35500i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.481613 | + | 0.834179i | 0.0194047 | + | 0.0336100i | ||||
\(617\) | −0.409593 | − | 0.709437i | −0.0164896 | − | 0.0285608i | 0.857663 | − | 0.514212i | \(-0.171916\pi\) |
−0.874152 | + | 0.485652i | \(0.838582\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −15.6750 | + | 27.1499i | −0.630032 | + | 1.09125i | 0.357513 | + | 0.933908i | \(0.383625\pi\) |
−0.987545 | + | 0.157339i | \(0.949708\pi\) | |||||||
\(620\) | −19.4931 | −0.782863 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.20293 | 0.369004 | ||||||||
\(623\) | 3.27182 | − | 5.66696i | 0.131083 | − | 0.227042i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.73970 | − | 9.94146i | −0.229588 | − | 0.397658i | ||||
\(626\) | 5.96056 | + | 10.3240i | 0.238232 | + | 0.412630i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −26.6861 | + | 46.2216i | −1.06489 | + | 1.84444i | ||||
\(629\) | 2.71819 | 0.108381 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.66769 | −0.0663895 | −0.0331947 | − | 0.999449i | \(-0.510568\pi\) | ||||
−0.0331947 | + | 0.999449i | \(0.510568\pi\) | |||||||
\(632\) | 6.60566 | − | 11.4413i | 0.262759 | − | 0.455112i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 29.5272 | + | 51.1427i | 1.17268 | + | 2.03114i | ||||
\(635\) | 18.4216 | + | 31.9071i | 0.731038 | + | 1.26620i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.01839 | − | 5.22800i | 0.119593 | − | 0.207141i | ||||
\(638\) | 12.8706 | 0.509553 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −36.9220 | −1.45947 | ||||||||
\(641\) | −7.62405 | + | 13.2052i | −0.301132 | + | 0.521576i | −0.976393 | − | 0.216003i | \(-0.930698\pi\) |
0.675261 | + | 0.737579i | \(0.264031\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.3133 | + | 19.5951i | 0.446151 | + | 0.772756i | 0.998132 | − | 0.0611006i | \(-0.0194611\pi\) |
−0.551981 | + | 0.833857i | \(0.686128\pi\) | |||||||
\(644\) | −9.74657 | − | 16.8816i | −0.384069 | − | 0.665226i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.701404 | + | 1.21487i | −0.0275964 | + | 0.0477983i | ||||
\(647\) | 42.0040 | 1.65135 | 0.825673 | − | 0.564148i | \(-0.190795\pi\) | ||||
0.825673 | + | 0.564148i | \(0.190795\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.8853 | 0.427284 | ||||||||
\(650\) | −58.5108 | + | 101.344i | −2.29498 | + | 3.97503i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.9206 | + | 27.5753i | 0.623498 | + | 1.07993i | ||||
\(653\) | 11.1777 | + | 19.3603i | 0.437416 | + | 0.757628i | 0.997489 | − | 0.0708158i | \(-0.0225602\pi\) |
−0.560073 | + | 0.828443i | \(0.689227\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.0735 | + | 17.4479i | −0.393606 | + | 0.681746i | ||||
\(656\) | −6.81172 | −0.265953 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.20293 | −0.358768 | ||||||||
\(659\) | 15.7140 | − | 27.2174i | 0.612130 | − | 1.06024i | −0.378751 | − | 0.925499i | \(-0.623646\pi\) |
0.990881 | − | 0.134742i | \(-0.0430205\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.2213 | + | 21.1679i | 0.475354 | + | 0.823338i | 0.999601 | − | 0.0282285i | \(-0.00898660\pi\) |
−0.524247 | + | 0.851566i | \(0.675653\pi\) | |||||||
\(662\) | 17.3186 | + | 29.9967i | 0.673106 | + | 1.16585i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.80440 | + | 3.12531i | −0.0700242 | + | 0.121285i | ||||
\(665\) | 4.50686 | 0.174769 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −60.2206 | −2.33175 | ||||||||
\(668\) | −19.2470 | + | 33.3368i | −0.744690 | + | 1.28984i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −41.1471 | − | 71.2689i | −1.58965 | − | 2.75336i | ||||
\(671\) | 3.44904 | + | 5.97390i | 0.133149 | + | 0.230620i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.7397 | + | 34.1902i | −0.760910 | + | 1.31793i | 0.181472 | + | 0.983396i | \(0.441914\pi\) |
−0.942382 | + | 0.334538i | \(0.891420\pi\) | |||||||
\(674\) | 2.38175 | 0.0917417 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 60.9852 | 2.34558 | ||||||||
\(677\) | −21.1892 | + | 36.7008i | −0.814367 | + | 1.41053i | 0.0954141 | + | 0.995438i | \(0.469582\pi\) |
−0.909781 | + | 0.415088i | \(0.863751\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.60147 | − | 4.50587i | −0.0998351 | − | 0.172919i | ||||
\(680\) | −1.31393 | − | 2.27579i | −0.0503868 | − | 0.0872726i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.60147 | − | 2.77382i | 0.0613233 | − | 0.106215i | ||||
\(683\) | 22.4143 | 0.857658 | 0.428829 | − | 0.903386i | \(-0.358926\pi\) | ||||
0.428829 | + | 0.903386i | \(0.358926\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 39.3133 | 1.50208 | ||||||||
\(686\) | 1.07255 | − | 1.85771i | 0.0409502 | − | 0.0709278i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 11.9742 | + | 20.7400i | 0.456513 | + | 0.790703i | ||||
\(689\) | −7.41425 | − | 12.8419i | −0.282461 | − | 0.489236i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.23970 | + | 10.8075i | −0.237370 | + | 0.411136i | −0.959959 | − | 0.280142i | \(-0.909619\pi\) |
0.722589 | + | 0.691278i | \(0.242952\pi\) | |||||||
\(692\) | −4.73497 | −0.179996 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −61.8221 | −2.34674 | ||||||||
\(695\) | −12.7328 | + | 22.0539i | −0.482984 | + | 0.836553i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.760295 | − | 1.31687i | −0.0287982 | − | 0.0498800i | ||||
\(698\) | −24.9652 | − | 43.2410i | −0.944947 | − | 1.63670i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −11.7544 | + | 20.3593i | −0.444276 | + | 0.769508i | ||||
\(701\) | −15.0000 | −0.566542 | −0.283271 | − | 0.959040i | \(-0.591420\pi\) | ||||
−0.283271 | + | 0.959040i | \(0.591420\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.01466 | −0.226847 | ||||||||
\(704\) | 4.43111 | − | 7.67491i | 0.167004 | − | 0.289259i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.53525 | − | 4.39118i | −0.0954152 | − | 0.165264i | ||||
\(707\) | −2.25343 | − | 3.90306i | −0.0847490 | − | 0.146790i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.5000 | − | 26.8468i | 0.582115 | − | 1.00825i | −0.413114 | − | 0.910679i | \(-0.635559\pi\) |
0.995228 | − | 0.0975728i | \(-0.0311079\pi\) | |||||||
\(710\) | 66.2206 | 2.48522 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.44264 | 0.316401 | ||||||||
\(713\) | −7.49314 | + | 12.9785i | −0.280620 | + | 0.486048i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.44264 | − | 14.6231i | −0.315737 | − | 0.546872i | ||||
\(716\) | 1.41425 | + | 2.44956i | 0.0528531 | + | 0.0915443i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.56836 | − | 6.18057i | 0.133170 | − | 0.230657i | ||||
\(719\) | −6.65396 | −0.248151 | −0.124075 | − | 0.992273i | \(-0.539596\pi\) | ||||
−0.124075 | + | 0.992273i | \(0.539596\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −10.8706 | −0.404843 | ||||||||
\(722\) | −18.8264 | + | 32.6084i | −0.700648 | + | 1.21356i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.60147 | − | 4.50587i | −0.0966827 | − | 0.167459i | ||||
\(725\) | 36.3133 | + | 62.8964i | 1.34864 | + | 2.33591i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.4721 | + | 31.9946i | −0.685092 | + | 1.18661i | 0.288316 | + | 0.957535i | \(0.406905\pi\) |
−0.973408 | + | 0.229078i | \(0.926429\pi\) | |||||||
\(728\) | 7.78868 | 0.288668 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 80.6633 | 2.98548 | ||||||||
\(731\) | −2.67302 | + | 4.62981i | −0.0988653 | + | 0.171240i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.0662 | + | 33.0237i | 0.704227 | + | 1.21976i | 0.966970 | + | 0.254891i | \(0.0820396\pi\) |
−0.262743 | + | 0.964866i | \(0.584627\pi\) | |||||||
\(734\) | 6.07888 | + | 10.5289i | 0.224376 | + | 0.388630i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −29.2397 | + | 50.6447i | −1.07779 | + | 1.86679i | ||||
\(737\) | 7.64464 | 0.281594 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.23970 | −0.229531 | −0.114766 | − | 0.993393i | \(-0.536612\pi\) | ||||
−0.114766 | + | 0.993393i | \(0.536612\pi\) | |||||||
\(740\) | 24.3664 | − | 42.2039i | 0.895727 | − | 1.55145i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.63458 | − | 4.56322i | −0.0967183 | − | 0.167521i | ||||
\(743\) | 5.54783 | + | 9.60913i | 0.203530 | + | 0.352525i | 0.949663 | − | 0.313272i | \(-0.101425\pi\) |
−0.746133 | + | 0.665797i | \(0.768092\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.82278 | + | 4.88920i | −0.103419 | + | 0.179127i | ||||
\(746\) | −50.4446 | −1.84691 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.05584 | 0.0386052 | ||||||||
\(749\) | −1.66349 | + | 2.88125i | −0.0607826 | + | 0.105279i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.1934 | − | 31.5119i | −0.663887 | − | 1.14989i | −0.979586 | − | 0.201026i | \(-0.935572\pi\) |
0.315699 | − | 0.948859i | \(-0.397761\pi\) | |||||||
\(752\) | 5.22399 | + | 9.04821i | 0.190499 | + | 0.329954i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 52.0361 | − | 90.1292i | 1.89504 | − | 3.28231i | ||||
\(755\) | 23.3775 | 0.850794 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.40586 | −0.160134 | −0.0800669 | − | 0.996789i | \(-0.525513\pi\) | ||||
−0.0800669 | + | 0.996789i | \(0.525513\pi\) | |||||||
\(758\) | 39.4620 | − | 68.3502i | 1.43333 | − | 2.48259i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.90739 | + | 5.03575i | 0.105462 | + | 0.182666i | ||||
\(761\) | −23.6061 | − | 40.8870i | −0.855721 | − | 1.48215i | −0.875974 | − | 0.482358i | \(-0.839780\pi\) |
0.0202528 | − | 0.999795i | \(-0.493553\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.81546 | − | 4.87651i | 0.101926 | − | 0.176542i | ||||
\(764\) | −28.1482 | −1.01836 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 57.8883 | 2.09159 | ||||||||
\(767\) | 44.0093 | − | 76.2264i | 1.58908 | − | 2.75237i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.3801 | − | 17.9789i | −0.374318 | − | 0.648337i | 0.615907 | − | 0.787819i | \(-0.288790\pi\) |
−0.990225 | + | 0.139482i | \(0.955456\pi\) | |||||||
\(770\) | −3.00000 | − | 5.19615i | −0.108112 | − | 0.187256i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −12.5272 | + | 21.6978i | −0.450865 | + | 0.780922i | ||||
\(773\) | −0.976953 | −0.0351386 | −0.0175693 | − | 0.999846i | \(-0.505593\pi\) | ||||
−0.0175693 | + | 0.999846i | \(0.505593\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 18.0735 | 0.649221 | ||||||||
\(776\) | 3.35642 | − | 5.81350i | 0.120489 | − | 0.208692i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.63824 | + | 16.6939i | 0.345548 | + | 0.598506i | ||||
\(779\) | 1.68234 | + | 2.91390i | 0.0602761 | + | 0.104401i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.07575 | + | 5.32736i | −0.110059 | + | 0.190628i | ||||
\(782\) | −8.73818 | −0.312477 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.43531 | −0.0869753 | ||||||||
\(785\) | 38.4326 | − | 66.5673i | 1.37172 | − | 2.37589i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.43531 | − | 2.48603i | −0.0511632 | − | 0.0886173i | 0.839310 | − | 0.543654i | \(-0.182960\pi\) |
−0.890473 | + | 0.455037i | \(0.849626\pi\) | |||||||
\(788\) | 25.3375 | + | 43.8858i | 0.902611 | + | 1.56337i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −41.1471 | + | 71.2689i | −1.46395 | + | 2.53563i | ||||
\(791\) | −2.59414 | −0.0922369 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 55.7780 | 1.98074 | ||||||||
\(794\) | 30.5694 | − | 52.9477i | 1.08487 | − | 1.87904i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.9442 | + | 38.0084i | 0.777790 | + | 1.34717i | ||||
\(797\) | 0.612525 | + | 1.06092i | 0.0216967 | + | 0.0375798i | 0.876670 | − | 0.481092i | \(-0.159760\pi\) |
−0.854973 | + | 0.518672i | \(0.826427\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.16616 | + | 2.01984i | −0.0412557 | + | 0.0714569i | ||||
\(800\) | 70.5266 | 2.49349 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 16.1030 | 0.568616 | ||||||||
\(803\) | −3.74657 | + | 6.48925i | −0.132214 | + | 0.229001i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.0368 | + | 24.3124i | 0.494731 | + | 0.856900i | ||||
\(806\) | −12.9495 | − | 22.4292i | −0.456127 | − | 0.790035i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.90739 | − | 5.03575i | 0.102282 | − | 0.177157i | ||||
\(809\) | 15.4333 | 0.542607 | 0.271303 | − | 0.962494i | \(-0.412545\pi\) | ||||
0.271303 | + | 0.962494i | \(0.412545\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.47941 | −0.0870638 | −0.0435319 | − | 0.999052i | \(-0.513861\pi\) | ||||
−0.0435319 | + | 0.999052i | \(0.513861\pi\) | |||||||
\(812\) | 10.4537 | − | 18.1063i | 0.366853 | − | 0.635408i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.00366 | + | 6.93455i | 0.140328 | + | 0.243056i | ||||
\(815\) | −22.9284 | − | 39.7132i | −0.803148 | − | 1.39109i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.91472 | − | 10.2446i | 0.206930 | − | 0.358413i | ||||
\(818\) | 58.4320 | 2.04303 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −27.2618 | −0.952024 | ||||||||
\(821\) | −14.4495 | + | 25.0273i | −0.504291 | + | 0.873458i | 0.495697 | + | 0.868496i | \(0.334913\pi\) |
−0.999988 | + | 0.00496193i | \(0.998421\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 12.4794 | + | 21.6150i | 0.435005 | + | 0.753451i | 0.997296 | − | 0.0734888i | \(-0.0234133\pi\) |
−0.562291 | + | 0.826939i | \(0.690080\pi\) | |||||||
\(824\) | −7.01266 | − | 12.1463i | −0.244298 | − | 0.423136i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15.6382 | − | 27.0862i | 0.544124 | − | 0.942450i | ||||
\(827\) | −12.7191 | −0.442287 | −0.221143 | − | 0.975241i | \(-0.570979\pi\) | ||||
−0.221143 | + | 0.975241i | \(0.570979\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.33231 | −0.219930 | −0.109965 | − | 0.993935i | \(-0.535074\pi\) | ||||
−0.109965 | + | 0.993935i | \(0.535074\pi\) | |||||||
\(830\) | 11.2397 | − | 19.4677i | 0.390136 | − | 0.675735i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −35.8301 | − | 62.0596i | −1.24219 | − | 2.15153i | ||||
\(833\) | −0.271819 | − | 0.470804i | −0.00941796 | − | 0.0163124i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 27.7191 | − | 48.0109i | 0.959260 | − | 1.66149i | ||||
\(836\) | −2.33630 | −0.0808026 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 42.2206 | 1.45849 | ||||||||
\(839\) | −22.7118 | + | 39.3380i | −0.784098 | + | 1.35810i | 0.145439 | + | 0.989367i | \(0.453541\pi\) |
−0.929536 | + | 0.368730i | \(0.879793\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.7949 | − | 30.8216i | −0.613616 | − | 1.06281i | ||||
\(842\) | 23.0378 | + | 39.9026i | 0.793934 | + | 1.37513i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.98680 | + | 8.63740i | −0.171653 | + | 0.297312i | ||||
\(845\) | −87.8294 | −3.02142 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.4426 | −0.358813 | ||||||||
\(848\) | −2.99100 | + | 5.18056i | −0.102711 | + | 0.177901i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.26915 | + | 9.12644i | 0.180730 | + | 0.313034i | ||||
\(851\) | −18.7328 | − | 32.4462i | −0.642154 | − | 1.11224i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.0441 | − | 20.8610i | 0.412382 | − | 0.714267i | −0.582768 | − | 0.812639i | \(-0.698030\pi\) |
0.995150 | + | 0.0983720i | \(0.0313635\pi\) | |||||||
\(854\) | 19.8201 | 0.678230 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.29249 | −0.146714 | ||||||||
\(857\) | 8.93111 | − | 15.4691i | 0.305081 | − | 0.528416i | −0.672198 | − | 0.740371i | \(-0.734650\pi\) |
0.977279 | + | 0.211955i | \(0.0679831\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −16.8706 | − | 29.2208i | −0.575618 | − | 0.997000i | −0.995974 | − | 0.0896404i | \(-0.971428\pi\) |
0.420356 | − | 0.907359i | \(-0.361905\pi\) | |||||||
\(860\) | 47.9231 | + | 83.0053i | 1.63416 | + | 2.83046i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.33231 | − | 4.03969i | 0.0794390 | − | 0.137592i | ||||
\(863\) | −54.1555 | −1.84347 | −0.921737 | − | 0.387815i | \(-0.873230\pi\) | ||||
−0.921737 | + | 0.387815i | \(0.873230\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.81919 | 0.231859 | ||||||||
\(866\) | 37.8753 | − | 65.6019i | 1.28705 | − | 2.22924i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.60147 | − | 4.50587i | −0.0882995 | − | 0.152939i | ||||
\(869\) | −3.82232 | − | 6.62045i | −0.129663 | − | 0.224583i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 30.9074 | − | 53.5332i | 1.04726 | − | 1.81390i | ||||
\(872\) | 7.26503 | 0.246025 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 19.3354 | 0.654029 | ||||||||
\(875\) | 7.56202 | − | 13.0978i | 0.255643 | − | 0.442787i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.50000 | + | 16.4545i | 0.320792 | + | 0.555628i | 0.980652 | − | 0.195761i | \(-0.0627176\pi\) |
−0.659860 | + | 0.751389i | \(0.729384\pi\) | |||||||
\(878\) | −20.5961 | − | 35.6735i | −0.695086 | − | 1.20392i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.40586 | + | 5.89913i | −0.114812 | + | 0.198860i | ||||
\(881\) | −41.3500 | −1.39312 | −0.696559 | − | 0.717500i | \(-0.745287\pi\) | ||||
−0.696559 | + | 0.717500i | \(0.745287\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 52.4603 | 1.76543 | 0.882716 | − | 0.469908i | \(-0.155713\pi\) | ||||
0.882716 | + | 0.469908i | \(0.155713\pi\) | |||||||
\(884\) | 4.26876 | − | 7.39372i | 0.143574 | − | 0.248678i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.70446 | − | 9.88041i | −0.191645 | − | 0.331939i | ||||
\(887\) | −10.6172 | − | 18.3895i | −0.356490 | − | 0.617459i | 0.630882 | − | 0.775879i | \(-0.282693\pi\) |
−0.987372 | + | 0.158420i | \(0.949360\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.91692 | + | 8.51636i | −0.164908 | + | 0.285629i | ||||
\(890\) | −52.5897 | −1.76281 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 32.4648 | 1.08700 | ||||||||
\(893\) | 2.58041 | − | 4.46940i | 0.0863502 | − | 0.149563i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.03677 | − | 3.52780i | −0.0680818 | − | 0.117921i | ||||
\(896\) | −4.92745 | − | 8.53459i | −0.164615 | − | 0.285121i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 7.90373 | − | 13.6897i | 0.263751 | − | 0.456830i | ||||
\(899\) | −16.0735 | −0.536083 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.33537 | −0.0444876 | ||||||||
\(902\) | 2.23970 | − | 3.87928i | 0.0745740 | − | 0.129166i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.67349 | − | 2.89856i | −0.0556593 | − | 0.0964047i | ||||
\(905\) | 3.74657 | + | 6.48925i | 0.124540 | + | 0.215710i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.1199 | + | 34.8486i | −0.668069 | + | 1.15713i | 0.310375 | + | 0.950614i | \(0.399545\pi\) |
−0.978443 | + | 0.206515i | \(0.933788\pi\) | |||||||
\(908\) | 56.8599 | 1.88696 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −48.5162 | −1.60830 | ||||||||
\(911\) | −0.405862 | + | 0.702974i | −0.0134468 | + | 0.0232906i | −0.872671 | − | 0.488310i | \(-0.837614\pi\) |
0.859224 | + | 0.511600i | \(0.170947\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.04410 | + | 1.80844i | 0.0345547 | + | 0.0598505i | ||||
\(914\) | −1.07255 | − | 1.85771i | −0.0354768 | − | 0.0614477i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −25.0257 | + | 43.3458i | −0.826873 | + | 1.43219i | ||||
\(917\) | −5.37748 | −0.177580 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.7603 | 0.585858 | 0.292929 | − | 0.956134i | \(-0.405370\pi\) | ||||
0.292929 | + | 0.956134i | \(0.405370\pi\) | |||||||
\(920\) | −18.1103 | + | 31.3680i | −0.597080 | + | 1.03417i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 32.6750 | + | 56.5948i | 1.07609 | + | 1.86385i | ||||
\(923\) | 24.8706 | + | 43.0772i | 0.818626 | + | 1.41790i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.5919 | + | 39.1304i | −0.742818 | + | 1.28660i | ||||
\(926\) | 58.9936 | 1.93865 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −62.7222 | −2.05896 | ||||||||
\(929\) | 0.799737 | − | 1.38518i | 0.0262385 | − | 0.0454464i | −0.852608 | − | 0.522551i | \(-0.824980\pi\) |
0.878846 | + | 0.477105i | \(0.158314\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.601466 | + | 1.04177i | 0.0197122 | + | 0.0341426i | ||||
\(932\) | −14.9017 | − | 25.8104i | −0.488120 | − | 0.845449i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 42.0177 | − | 72.7768i | 1.37486 | − | 2.38133i | ||||
\(935\) | −1.52059 | −0.0497286 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.70140 | 0.0882510 | 0.0441255 | − | 0.999026i | \(-0.485950\pi\) | ||||
0.0441255 | + | 0.999026i | \(0.485950\pi\) | |||||||
\(938\) | 10.9826 | − | 19.0224i | 0.358595 | − | 0.621105i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.9074 | + | 36.2127i | 0.681924 | + | 1.18113i | ||||
\(941\) | 18.3959 | + | 31.8626i | 0.599688 | + | 1.03869i | 0.992867 | + | 0.119228i | \(0.0380420\pi\) |
−0.393179 | + | 0.919462i | \(0.628625\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.4794 | + | 18.1509i | −0.341257 | + | 0.591074i | ||||
\(944\) | −35.5078 | −1.15568 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −15.7486 | −0.512030 | ||||||||
\(947\) | −12.1892 | + | 21.1123i | −0.396096 | + | 0.686058i | −0.993240 | − | 0.116075i | \(-0.962969\pi\) |
0.597144 | + | 0.802134i | \(0.296302\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 30.2949 | + | 52.4722i | 0.983413 | + | 1.70332i | ||||
\(950\) | −11.6593 | − | 20.1945i | −0.378277 | − | 0.655196i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.350702 | − | 0.607433i | 0.0113663 | − | 0.0196870i | ||||
\(953\) | 1.63091 | 0.0528304 | 0.0264152 | − | 0.999651i | \(-0.491591\pi\) | ||||
0.0264152 | + | 0.999651i | \(0.491591\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 40.5383 | 1.31179 | ||||||||
\(956\) | −5.41906 | + | 9.38608i | −0.175265 | + | 0.303568i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 22.5089 | + | 38.9865i | 0.727228 | + | 1.25960i | ||||
\(959\) | 5.24657 | + | 9.08732i | 0.169421 | + | 0.293445i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5000 | − | 23.3827i | 0.435484 | − | 0.754280i | ||||
\(962\) | 64.7475 | 2.08754 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 34.4426 | 1.10932 | ||||||||
\(965\) | 18.0414 | − | 31.2487i | 0.580774 | − | 1.00593i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −24.0368 | − | 41.6329i | −0.772971 | − | 1.33882i | −0.935928 | − | 0.352191i | \(-0.885437\pi\) |
0.162958 | − | 0.986633i | \(-0.447897\pi\) | |||||||
\(968\) | −6.73657 | − | 11.6681i | −0.216522 | − | 0.375026i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −20.9074 | + | 36.2127i | −0.671296 | + | 1.16272i | ||||
\(971\) | 10.3491 | 0.332118 | 0.166059 | − | 0.986116i | \(-0.446896\pi\) | ||||
0.166059 | + | 0.986116i | \(0.446896\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.79707 | −0.217904 | ||||||||
\(974\) | 30.7238 | − | 53.2153i | 0.984455 | − | 1.70513i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.2508 | − | 19.4869i | −0.360128 | − | 0.623760i | ||||
\(977\) | 5.58041 | + | 9.66555i | 0.178533 | + | 0.309228i | 0.941378 | − | 0.337353i | \(-0.109531\pi\) |
−0.762845 | + | 0.646581i | \(0.776198\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.44264 | − | 4.23077i | 0.0780670 | − | 0.135216i | ||||
\(980\) | −9.74657 | −0.311343 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −68.9588 | −2.20056 | ||||||||
\(983\) | −20.6887 | + | 35.8339i | −0.659868 | + | 1.14293i | 0.320781 | + | 0.947153i | \(0.396055\pi\) |
−0.980649 | + | 0.195772i | \(0.937279\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −36.4905 | − | 63.2033i | −1.16268 | − | 2.01383i | ||||
\(986\) | −4.68607 | − | 8.11651i | −0.149235 | − | 0.258482i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −9.44569 | + | 16.3604i | −0.300507 | + | 0.520494i | ||||
\(989\) | 73.6863 | 2.34309 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.977882 | 0.0310634 | 0.0155317 | − | 0.999879i | \(-0.495056\pi\) | ||||
0.0155317 | + | 0.999879i | \(0.495056\pi\) | |||||||
\(992\) | −7.80440 | + | 13.5176i | −0.247790 | + | 0.429185i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 8.83751 | + | 15.3070i | 0.280309 | + | 0.485509i | ||||
\(995\) | −31.6035 | − | 54.7388i | −1.00190 | − | 1.73534i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.0552 | − | 24.3443i | 0.445131 | − | 0.770990i | −0.552930 | − | 0.833228i | \(-0.686490\pi\) |
0.998061 | + | 0.0622375i | \(0.0198236\pi\) | |||||||
\(998\) | 41.3186 | 1.30792 | ||||||||
\(999\) | 0 | 0 |
(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 | 567.2.f.m.379.3 | 6 | ||
3.2 | odd | 2 | 567.2.f.l.379.1 | 6 | |||
9.2 | odd | 6 | 567.2.a.f.1.3 | yes | 3 | ||
9.4 | even | 3 | inner | 567.2.f.m.190.3 | 6 | ||
9.5 | odd | 6 | 567.2.f.l.190.1 | 6 | |||
9.7 | even | 3 | 567.2.a.e.1.1 | ✓ | 3 | ||
36.7 | odd | 6 | 9072.2.a.bu.1.1 | 3 | |||
36.11 | even | 6 | 9072.2.a.cb.1.3 | 3 | |||
63.20 | even | 6 | 3969.2.a.n.1.3 | 3 | |||
63.34 | odd | 6 | 3969.2.a.o.1.1 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
567.2.a.e.1.1 | ✓ | 3 | 9.7 | even | 3 | ||
567.2.a.f.1.3 | yes | 3 | 9.2 | odd | 6 | ||
567.2.f.l.190.1 | 6 | 9.5 | odd | 6 | |||
567.2.f.l.379.1 | 6 | 3.2 | odd | 2 | |||
567.2.f.m.190.3 | 6 | 9.4 | even | 3 | inner | ||
567.2.f.m.379.3 | 6 | 1.1 | even | 1 | trivial | ||
3969.2.a.n.1.3 | 3 | 63.20 | even | 6 | |||
3969.2.a.o.1.1 | 3 | 63.34 | odd | 6 | |||
9072.2.a.bu.1.1 | 3 | 36.7 | odd | 6 | |||
9072.2.a.cb.1.3 | 3 | 36.11 | even | 6 |