Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 6 x^{10} - 16 x^{9} + 44 x^{8} - 70 x^{7} + 141 x^{6} - 182 x^{5} + 270 x^{4} - 124 x^{3} + 115 x^{2} + 20 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(-0.380695 - 1.66794i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.11 |
Dual form | 430.2.k.a.391.2 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.623490 | + | 0.781831i | 0.440874 | + | 0.552838i | ||||
\(3\) | −0.0568052 | + | 0.0712315i | −0.0327965 | + | 0.0411255i | −0.797959 | − | 0.602711i | \(-0.794087\pi\) |
0.765163 | + | 0.643837i | \(0.222658\pi\) | |||||||
\(4\) | −0.222521 | + | 0.974928i | −0.111260 | + | 0.487464i | ||||
\(5\) | −0.900969 | + | 0.433884i | −0.402926 | + | 0.194039i | ||||
\(6\) | −0.0911085 | −0.0371949 | ||||||||
\(7\) | 0.481895 | 0.182139 | 0.0910696 | − | 0.995845i | \(-0.470971\pi\) | ||||
0.0910696 | + | 0.995845i | \(0.470971\pi\) | |||||||
\(8\) | −0.900969 | + | 0.433884i | −0.318541 | + | 0.153401i | ||||
\(9\) | 0.665716 | + | 2.91669i | 0.221905 | + | 0.972230i | ||||
\(10\) | −0.900969 | − | 0.433884i | −0.284911 | − | 0.137206i | ||||
\(11\) | 0.483742 | + | 2.11941i | 0.145854 | + | 0.639027i | 0.994011 | + | 0.109282i | \(0.0348551\pi\) |
−0.848157 | + | 0.529745i | \(0.822288\pi\) | |||||||
\(12\) | −0.0568052 | − | 0.0712315i | −0.0163983 | − | 0.0205628i | ||||
\(13\) | −1.12349 | + | 0.541044i | −0.311600 | + | 0.150059i | −0.583147 | − | 0.812366i | \(-0.698179\pi\) |
0.271547 | + | 0.962425i | \(0.412465\pi\) | |||||||
\(14\) | 0.300456 | + | 0.376761i | 0.0803004 | + | 0.100693i | ||||
\(15\) | 0.0202736 | − | 0.0888242i | 0.00523461 | − | 0.0229343i | ||||
\(16\) | −0.900969 | − | 0.433884i | −0.225242 | − | 0.108471i | ||||
\(17\) | −0.238779 | − | 0.114990i | −0.0579124 | − | 0.0278892i | 0.404703 | − | 0.914448i | \(-0.367375\pi\) |
−0.462616 | + | 0.886559i | \(0.653089\pi\) | |||||||
\(18\) | −1.86529 | + | 2.33900i | −0.439654 | + | 0.551309i | ||||
\(19\) | −0.805464 | + | 3.52897i | −0.184786 | + | 0.809601i | 0.794524 | + | 0.607233i | \(0.207721\pi\) |
−0.979310 | + | 0.202367i | \(0.935137\pi\) | |||||||
\(20\) | −0.222521 | − | 0.974928i | −0.0497572 | − | 0.218001i | ||||
\(21\) | −0.0273741 | + | 0.0343261i | −0.00597353 | + | 0.00749057i | ||||
\(22\) | −1.35541 | + | 1.69964i | −0.288975 | + | 0.362364i | ||||
\(23\) | 0.757865 | + | 3.32042i | 0.158026 | + | 0.692356i | 0.990410 | + | 0.138157i | \(0.0441180\pi\) |
−0.832385 | + | 0.554198i | \(0.813025\pi\) | |||||||
\(24\) | 0.0202736 | − | 0.0888242i | 0.00413832 | − | 0.0181312i | ||||
\(25\) | 0.623490 | − | 0.781831i | 0.124698 | − | 0.156366i | ||||
\(26\) | −1.12349 | − | 0.541044i | −0.220334 | − | 0.106107i | ||||
\(27\) | −0.491834 | − | 0.236855i | −0.0946535 | − | 0.0455827i | ||||
\(28\) | −0.107232 | + | 0.469813i | −0.0202649 | + | 0.0887862i | ||||
\(29\) | 2.06313 | + | 2.58708i | 0.383113 | + | 0.480409i | 0.935574 | − | 0.353130i | \(-0.114883\pi\) |
−0.552461 | + | 0.833539i | \(0.686311\pi\) | |||||||
\(30\) | 0.0820859 | − | 0.0395305i | 0.0149868 | − | 0.00721725i | ||||
\(31\) | −2.83249 | − | 3.55183i | −0.508730 | − | 0.637928i | 0.459443 | − | 0.888207i | \(-0.348049\pi\) |
−0.968174 | + | 0.250279i | \(0.919478\pi\) | |||||||
\(32\) | −0.222521 | − | 0.974928i | −0.0393365 | − | 0.172345i | ||||
\(33\) | −0.178448 | − | 0.0859360i | −0.0310638 | − | 0.0149595i | ||||
\(34\) | −0.0589736 | − | 0.258380i | −0.0101139 | − | 0.0443118i | ||||
\(35\) | −0.434172 | + | 0.209086i | −0.0733885 | + | 0.0353420i | ||||
\(36\) | −2.99170 | −0.498617 | ||||||||
\(37\) | 6.79199 | 1.11660 | 0.558298 | − | 0.829640i | \(-0.311454\pi\) | ||||
0.558298 | + | 0.829640i | \(0.311454\pi\) | |||||||
\(38\) | −3.26126 | + | 1.57054i | −0.529046 | + | 0.254775i | ||||
\(39\) | 0.0252807 | − | 0.110762i | 0.00404815 | − | 0.0177361i | ||||
\(40\) | 0.623490 | − | 0.781831i | 0.0985824 | − | 0.123618i | ||||
\(41\) | −0.298016 | − | 0.373701i | −0.0465424 | − | 0.0583623i | 0.758016 | − | 0.652236i | \(-0.226169\pi\) |
−0.804558 | + | 0.593874i | \(0.797598\pi\) | |||||||
\(42\) | −0.0439047 | −0.00677464 | ||||||||
\(43\) | −0.947167 | − | 6.48867i | −0.144442 | − | 0.989513i | ||||
\(44\) | −2.17392 | −0.327730 | ||||||||
\(45\) | −1.86529 | − | 2.33900i | −0.278062 | − | 0.348678i | ||||
\(46\) | −2.12349 | + | 2.66277i | −0.313091 | + | 0.392604i | ||||
\(47\) | 2.07192 | − | 9.07769i | 0.302221 | − | 1.32412i | −0.564545 | − | 0.825402i | \(-0.690948\pi\) |
0.866766 | − | 0.498715i | \(-0.166194\pi\) | |||||||
\(48\) | 0.0820859 | − | 0.0395305i | 0.0118481 | − | 0.00570574i | ||||
\(49\) | −6.76778 | −0.966825 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | 0.0217548 | − | 0.0104766i | 0.00304628 | − | 0.00146701i | ||||
\(52\) | −0.277479 | − | 1.21572i | −0.0384794 | − | 0.168589i | ||||
\(53\) | 11.3781 | + | 5.47942i | 1.56291 | + | 0.752656i | 0.997398 | − | 0.0720867i | \(-0.0229658\pi\) |
0.565508 | + | 0.824743i | \(0.308680\pi\) | |||||||
\(54\) | −0.121473 | − | 0.532208i | −0.0165304 | − | 0.0724243i | ||||
\(55\) | −1.35541 | − | 1.69964i | −0.182764 | − | 0.229179i | ||||
\(56\) | −0.434172 | + | 0.209086i | −0.0580187 | + | 0.0279403i | ||||
\(57\) | −0.205619 | − | 0.257838i | −0.0272349 | − | 0.0341515i | ||||
\(58\) | −0.736322 | + | 3.22604i | −0.0966838 | + | 0.423599i | ||||
\(59\) | 6.47294 | + | 3.11720i | 0.842705 | + | 0.405825i | 0.804865 | − | 0.593458i | \(-0.202238\pi\) |
0.0378405 | + | 0.999284i | \(0.487952\pi\) | |||||||
\(60\) | 0.0820859 | + | 0.0395305i | 0.0105972 | + | 0.00510337i | ||||
\(61\) | 3.28029 | − | 4.11336i | 0.419998 | − | 0.526661i | −0.526151 | − | 0.850391i | \(-0.676365\pi\) |
0.946150 | + | 0.323730i | \(0.104937\pi\) | |||||||
\(62\) | 1.01090 | − | 4.42906i | 0.128385 | − | 0.562491i | ||||
\(63\) | 0.320805 | + | 1.40554i | 0.0404176 | + | 0.177081i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | 0.777479 | − | 0.974928i | 0.0964344 | − | 0.120925i | ||||
\(66\) | −0.0440730 | − | 0.193096i | −0.00542501 | − | 0.0237685i | ||||
\(67\) | 1.47735 | − | 6.47268i | 0.180487 | − | 0.790764i | −0.800912 | − | 0.598782i | \(-0.795651\pi\) |
0.981399 | − | 0.191982i | \(-0.0614914\pi\) | |||||||
\(68\) | 0.165240 | − | 0.207205i | 0.0200383 | − | 0.0251273i | ||||
\(69\) | −0.279569 | − | 0.134633i | −0.0336562 | − | 0.0162080i | ||||
\(70\) | −0.434172 | − | 0.209086i | −0.0518935 | − | 0.0249906i | ||||
\(71\) | 1.16523 | − | 5.10519i | 0.138287 | − | 0.605875i | −0.857524 | − | 0.514443i | \(-0.827999\pi\) |
0.995811 | − | 0.0914314i | \(-0.0291442\pi\) | |||||||
\(72\) | −1.86529 | − | 2.33900i | −0.219827 | − | 0.275654i | ||||
\(73\) | −0.919736 | + | 0.442921i | −0.107647 | + | 0.0518400i | −0.486932 | − | 0.873440i | \(-0.661884\pi\) |
0.379285 | + | 0.925280i | \(0.376170\pi\) | |||||||
\(74\) | 4.23474 | + | 5.31019i | 0.492278 | + | 0.617298i | ||||
\(75\) | 0.0202736 | + | 0.0888242i | 0.00234099 | + | 0.0102565i | ||||
\(76\) | −3.26126 | − | 1.57054i | −0.374092 | − | 0.180153i | ||||
\(77\) | 0.233113 | + | 1.02133i | 0.0265657 | + | 0.116392i | ||||
\(78\) | 0.102359 | − | 0.0492937i | 0.0115899 | − | 0.00558142i | ||||
\(79\) | 7.50816 | 0.844734 | 0.422367 | − | 0.906425i | \(-0.361199\pi\) | ||||
0.422367 | + | 0.906425i | \(0.361199\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −8.04147 | + | 3.87257i | −0.893497 | + | 0.430285i | ||||
\(82\) | 0.106361 | − | 0.465997i | 0.0117456 | − | 0.0514608i | ||||
\(83\) | 3.90063 | − | 4.89123i | 0.428149 | − | 0.536882i | −0.520228 | − | 0.854028i | \(-0.674153\pi\) |
0.948377 | + | 0.317145i | \(0.102724\pi\) | |||||||
\(84\) | −0.0273741 | − | 0.0343261i | −0.00298676 | − | 0.00374528i | ||||
\(85\) | 0.265025 | 0.0287460 | ||||||||
\(86\) | 4.48250 | − | 4.78615i | 0.483360 | − | 0.516103i | ||||
\(87\) | −0.301478 | −0.0323218 | ||||||||
\(88\) | −1.35541 | − | 1.69964i | −0.144488 | − | 0.181182i | ||||
\(89\) | −9.36256 | + | 11.7403i | −0.992430 | + | 1.24447i | −0.0228381 | + | 0.999739i | \(0.507270\pi\) |
−0.969592 | + | 0.244728i | \(0.921301\pi\) | |||||||
\(90\) | 0.665716 | − | 2.91669i | 0.0701726 | − | 0.307446i | ||||
\(91\) | −0.541404 | + | 0.260726i | −0.0567545 | + | 0.0273315i | ||||
\(92\) | −3.40581 | −0.355081 | ||||||||
\(93\) | 0.413903 | 0.0429197 | ||||||||
\(94\) | 8.38904 | − | 4.03995i | 0.865264 | − | 0.416689i | ||||
\(95\) | −0.805464 | − | 3.52897i | −0.0826388 | − | 0.362064i | ||||
\(96\) | 0.0820859 | + | 0.0395305i | 0.00837786 | + | 0.00403456i | ||||
\(97\) | −0.935545 | − | 4.09889i | −0.0949902 | − | 0.416179i | 0.904966 | − | 0.425483i | \(-0.139896\pi\) |
−0.999957 | + | 0.00930346i | \(0.997039\pi\) | |||||||
\(98\) | −4.21964 | − | 5.29126i | −0.426248 | − | 0.534498i | ||||
\(99\) | −5.85963 | + | 2.82185i | −0.588915 | + | 0.283607i | ||||
\(100\) | 0.623490 | + | 0.781831i | 0.0623490 | + | 0.0781831i | ||||
\(101\) | 1.19758 | − | 5.24694i | 0.119164 | − | 0.522090i | −0.879748 | − | 0.475441i | \(-0.842289\pi\) |
0.998911 | − | 0.0466491i | \(-0.0148543\pi\) | |||||||
\(102\) | 0.0217548 | + | 0.0104766i | 0.00215405 | + | 0.00103733i | ||||
\(103\) | 1.96220 | + | 0.944947i | 0.193342 | + | 0.0931084i | 0.528050 | − | 0.849213i | \(-0.322923\pi\) |
−0.334708 | + | 0.942322i | \(0.608638\pi\) | |||||||
\(104\) | 0.777479 | − | 0.974928i | 0.0762381 | − | 0.0955995i | ||||
\(105\) | 0.00976972 | − | 0.0428039i | 0.000953427 | − | 0.00417724i | ||||
\(106\) | 2.81017 | + | 12.3121i | 0.272947 | + | 1.19586i | ||||
\(107\) | 6.65790 | − | 8.34874i | 0.643644 | − | 0.807104i | −0.347810 | − | 0.937565i | \(-0.613074\pi\) |
0.991453 | + | 0.130462i | \(0.0416459\pi\) | |||||||
\(108\) | 0.340360 | − | 0.426798i | 0.0327511 | − | 0.0410686i | ||||
\(109\) | 0.768463 | + | 3.36686i | 0.0736054 | + | 0.322487i | 0.998304 | − | 0.0582132i | \(-0.0185403\pi\) |
−0.924699 | + | 0.380700i | \(0.875683\pi\) | |||||||
\(110\) | 0.483742 | − | 2.11941i | 0.0461230 | − | 0.202078i | ||||
\(111\) | −0.385821 | + | 0.483804i | −0.0366205 | + | 0.0459206i | ||||
\(112\) | −0.434172 | − | 0.209086i | −0.0410254 | − | 0.0197568i | ||||
\(113\) | 4.40321 | + | 2.12047i | 0.414219 | + | 0.199477i | 0.629374 | − | 0.777103i | \(-0.283311\pi\) |
−0.215155 | + | 0.976580i | \(0.569026\pi\) | |||||||
\(114\) | 0.0733846 | − | 0.321519i | 0.00687310 | − | 0.0301130i | ||||
\(115\) | −2.12349 | − | 2.66277i | −0.198016 | − | 0.248305i | ||||
\(116\) | −2.98131 | + | 1.43572i | −0.276807 | + | 0.133303i | ||||
\(117\) | −2.32598 | − | 2.91669i | −0.215037 | − | 0.269648i | ||||
\(118\) | 1.59868 | + | 7.00429i | 0.147171 | + | 0.644798i | ||||
\(119\) | −0.115066 | − | 0.0554130i | −0.0105481 | − | 0.00507971i | ||||
\(120\) | 0.0202736 | + | 0.0888242i | 0.00185071 | + | 0.00810851i | ||||
\(121\) | 5.65276 | − | 2.72222i | 0.513887 | − | 0.247475i | ||||
\(122\) | 5.26118 | 0.476325 | ||||||||
\(123\) | 0.0435482 | 0.00392661 | ||||||||
\(124\) | 4.09307 | − | 1.97112i | 0.367568 | − | 0.177012i | ||||
\(125\) | −0.222521 | + | 0.974928i | −0.0199029 | + | 0.0872002i | ||||
\(126\) | −0.898875 | + | 1.12715i | −0.0800782 | + | 0.100415i | ||||
\(127\) | −6.73468 | − | 8.44502i | −0.597606 | − | 0.749374i | 0.387397 | − | 0.921913i | \(-0.373374\pi\) |
−0.985003 | + | 0.172539i | \(0.944803\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 0.516002 | + | 0.301122i | 0.0454314 | + | 0.0265123i | ||||
\(130\) | 1.24698 | 0.109367 | ||||||||
\(131\) | 5.13133 | + | 6.43448i | 0.448326 | + | 0.562183i | 0.953716 | − | 0.300708i | \(-0.0972228\pi\) |
−0.505390 | + | 0.862891i | \(0.668651\pi\) | |||||||
\(132\) | 0.123490 | − | 0.154851i | 0.0107484 | − | 0.0134781i | ||||
\(133\) | −0.388149 | + | 1.70059i | −0.0336568 | + | 0.147460i | ||||
\(134\) | 5.98166 | − | 2.88061i | 0.516737 | − | 0.248847i | ||||
\(135\) | 0.545895 | 0.0469831 | ||||||||
\(136\) | 0.265025 | 0.0227257 | ||||||||
\(137\) | −3.24526 | + | 1.56283i | −0.277261 | + | 0.133522i | −0.567347 | − | 0.823479i | \(-0.692030\pi\) |
0.290086 | + | 0.957000i | \(0.406316\pi\) | |||||||
\(138\) | −0.0690479 | − | 0.302519i | −0.00587775 | − | 0.0257521i | ||||
\(139\) | −7.15196 | − | 3.44420i | −0.606621 | − | 0.292133i | 0.105248 | − | 0.994446i | \(-0.466437\pi\) |
−0.711868 | + | 0.702313i | \(0.752151\pi\) | |||||||
\(140\) | −0.107232 | − | 0.469813i | −0.00906273 | − | 0.0397064i | ||||
\(141\) | 0.528921 | + | 0.663246i | 0.0445432 | + | 0.0558554i | ||||
\(142\) | 4.71790 | − | 2.27202i | 0.395918 | − | 0.190664i | ||||
\(143\) | −1.69017 | − | 2.11941i | −0.141339 | − | 0.177234i | ||||
\(144\) | 0.665716 | − | 2.91669i | 0.0554763 | − | 0.243058i | ||||
\(145\) | −2.98131 | − | 1.43572i | −0.247584 | − | 0.119230i | ||||
\(146\) | −0.919736 | − | 0.442921i | −0.0761179 | − | 0.0366564i | ||||
\(147\) | 0.384445 | − | 0.482079i | 0.0317085 | − | 0.0397612i | ||||
\(148\) | −1.51136 | + | 6.62170i | −0.124233 | + | 0.544301i | ||||
\(149\) | 5.17083 | + | 22.6549i | 0.423611 | + | 1.85596i | 0.510700 | + | 0.859759i | \(0.329386\pi\) |
−0.0870897 | + | 0.996200i | \(0.527757\pi\) | |||||||
\(150\) | −0.0568052 | + | 0.0712315i | −0.00463813 | + | 0.00581603i | ||||
\(151\) | 4.83483 | − | 6.06268i | 0.393453 | − | 0.493374i | −0.545167 | − | 0.838327i | \(-0.683534\pi\) |
0.938620 | + | 0.344953i | \(0.112105\pi\) | |||||||
\(152\) | −0.805464 | − | 3.52897i | −0.0653317 | − | 0.286237i | ||||
\(153\) | 0.176431 | − | 0.772995i | 0.0142636 | − | 0.0624930i | ||||
\(154\) | −0.653167 | + | 0.819046i | −0.0526337 | + | 0.0660006i | ||||
\(155\) | 4.09307 | + | 1.97112i | 0.328763 | + | 0.158324i | ||||
\(156\) | 0.102359 | + | 0.0492937i | 0.00819532 | + | 0.00394666i | ||||
\(157\) | −0.627544 | + | 2.74945i | −0.0500835 | + | 0.219430i | −0.993777 | − | 0.111392i | \(-0.964469\pi\) |
0.943693 | + | 0.330822i | \(0.107326\pi\) | |||||||
\(158\) | 4.68126 | + | 5.87012i | 0.372421 | + | 0.467001i | ||||
\(159\) | −1.03664 | + | 0.499222i | −0.0822113 | + | 0.0395909i | ||||
\(160\) | 0.623490 | + | 0.781831i | 0.0492912 | + | 0.0618092i | ||||
\(161\) | 0.365211 | + | 1.60009i | 0.0287827 | + | 0.126105i | ||||
\(162\) | −8.04147 | − | 3.87257i | −0.631798 | − | 0.304258i | ||||
\(163\) | −2.64686 | − | 11.5967i | −0.207318 | − | 0.908321i | −0.966343 | − | 0.257258i | \(-0.917181\pi\) |
0.759024 | − | 0.651062i | \(-0.225676\pi\) | |||||||
\(164\) | 0.430646 | − | 0.207388i | 0.0336278 | − | 0.0161943i | ||||
\(165\) | 0.198062 | 0.0154191 | ||||||||
\(166\) | 6.25612 | 0.485569 | ||||||||
\(167\) | 3.84263 | − | 1.85051i | 0.297352 | − | 0.143197i | −0.279260 | − | 0.960216i | \(-0.590089\pi\) |
0.576611 | + | 0.817019i | \(0.304375\pi\) | |||||||
\(168\) | 0.00976972 | − | 0.0428039i | 0.000753750 | − | 0.00330239i | ||||
\(169\) | −7.13587 | + | 8.94809i | −0.548913 | + | 0.688315i | ||||
\(170\) | 0.165240 | + | 0.207205i | 0.0126733 | + | 0.0158919i | ||||
\(171\) | −10.8291 | −0.828123 | ||||||||
\(172\) | 6.53675 | + | 0.520446i | 0.498423 | + | 0.0396836i | ||||
\(173\) | 3.99124 | 0.303448 | 0.151724 | − | 0.988423i | \(-0.451517\pi\) | ||||
0.151724 | + | 0.988423i | \(0.451517\pi\) | |||||||
\(174\) | −0.187968 | − | 0.235705i | −0.0142498 | − | 0.0178687i | ||||
\(175\) | 0.300456 | − | 0.376761i | 0.0227124 | − | 0.0284804i | ||||
\(176\) | 0.483742 | − | 2.11941i | 0.0364634 | − | 0.159757i | ||||
\(177\) | −0.589740 | + | 0.284004i | −0.0443276 | + | 0.0213470i | ||||
\(178\) | −15.0164 | −1.12553 | ||||||||
\(179\) | −8.68782 | −0.649358 | −0.324679 | − | 0.945824i | \(-0.605256\pi\) | ||||
−0.324679 | + | 0.945824i | \(0.605256\pi\) | |||||||
\(180\) | 2.69543 | − | 1.29805i | 0.200905 | − | 0.0967509i | ||||
\(181\) | 0.720953 | + | 3.15870i | 0.0535880 | + | 0.234784i | 0.994628 | − | 0.103510i | \(-0.0330073\pi\) |
−0.941040 | + | 0.338294i | \(0.890150\pi\) | |||||||
\(182\) | −0.541404 | − | 0.260726i | −0.0401315 | − | 0.0193263i | ||||
\(183\) | 0.106663 | + | 0.467320i | 0.00788474 | + | 0.0345453i | ||||
\(184\) | −2.12349 | − | 2.66277i | −0.156546 | − | 0.196302i | ||||
\(185\) | −6.11937 | + | 2.94694i | −0.449905 | + | 0.216663i | ||||
\(186\) | 0.258064 | + | 0.323602i | 0.0189222 | + | 0.0237277i | ||||
\(187\) | 0.128204 | − | 0.561697i | 0.00937517 | − | 0.0410753i | ||||
\(188\) | 8.38904 | + | 4.03995i | 0.611834 | + | 0.294644i | ||||
\(189\) | −0.237012 | − | 0.114139i | −0.0172401 | − | 0.00830240i | ||||
\(190\) | 2.25686 | − | 2.83001i | 0.163730 | − | 0.205311i | ||||
\(191\) | −3.35967 | + | 14.7197i | −0.243098 | + | 1.06508i | 0.695082 | + | 0.718931i | \(0.255368\pi\) |
−0.938179 | + | 0.346149i | \(0.887489\pi\) | |||||||
\(192\) | 0.0202736 | + | 0.0888242i | 0.00146312 | + | 0.00641034i | ||||
\(193\) | −4.40902 | + | 5.52874i | −0.317368 | + | 0.397967i | −0.914770 | − | 0.403975i | \(-0.867628\pi\) |
0.597402 | + | 0.801942i | \(0.296200\pi\) | |||||||
\(194\) | 2.62134 | − | 3.28706i | 0.188201 | − | 0.235997i | ||||
\(195\) | 0.0252807 | + | 0.110762i | 0.00181039 | + | 0.00793183i | ||||
\(196\) | 1.50597 | − | 6.59810i | 0.107569 | − | 0.471293i | ||||
\(197\) | −5.83599 | + | 7.31810i | −0.415797 | + | 0.521393i | −0.944986 | − | 0.327111i | \(-0.893925\pi\) |
0.529189 | + | 0.848504i | \(0.322496\pi\) | |||||||
\(198\) | −5.85963 | − | 2.82185i | −0.416426 | − | 0.200540i | ||||
\(199\) | −18.8210 | − | 9.06371i | −1.33418 | − | 0.642509i | −0.375458 | − | 0.926840i | \(-0.622514\pi\) |
−0.958726 | + | 0.284330i | \(0.908229\pi\) | |||||||
\(200\) | −0.222521 | + | 0.974928i | −0.0157346 | + | 0.0689378i | ||||
\(201\) | 0.377138 | + | 0.472916i | 0.0266013 | + | 0.0333569i | ||||
\(202\) | 4.84890 | − | 2.33511i | 0.341167 | − | 0.164298i | ||||
\(203\) | 0.994210 | + | 1.24670i | 0.0697799 | + | 0.0875012i | ||||
\(204\) | 0.00537299 | + | 0.0235406i | 0.000376185 | + | 0.00164817i | ||||
\(205\) | 0.430646 | + | 0.207388i | 0.0300776 | + | 0.0144846i | ||||
\(206\) | 0.484624 | + | 2.12328i | 0.0337654 | + | 0.147936i | ||||
\(207\) | −9.18012 | + | 4.42091i | −0.638063 | + | 0.307275i | ||||
\(208\) | 1.24698 | 0.0864625 | ||||||||
\(209\) | −7.86897 | −0.544308 | ||||||||
\(210\) | 0.0395568 | − | 0.0190495i | 0.00272968 | − | 0.00131454i | ||||
\(211\) | −0.641331 | + | 2.80986i | −0.0441511 | + | 0.193439i | −0.992194 | − | 0.124704i | \(-0.960202\pi\) |
0.948043 | + | 0.318142i | \(0.103059\pi\) | |||||||
\(212\) | −7.87391 | + | 9.87357i | −0.540782 | + | 0.678120i | ||||
\(213\) | 0.297459 | + | 0.373002i | 0.0203816 | + | 0.0255577i | ||||
\(214\) | 10.6784 | 0.729964 | ||||||||
\(215\) | 3.66870 | + | 5.43513i | 0.250203 | + | 0.370673i | ||||
\(216\) | 0.545895 | 0.0371434 | ||||||||
\(217\) | −1.36496 | − | 1.71161i | −0.0926597 | − | 0.116192i | ||||
\(218\) | −2.15319 | + | 2.70001i | −0.145832 | + | 0.182868i | ||||
\(219\) | 0.0206958 | − | 0.0906744i | 0.00139850 | − | 0.00612721i | ||||
\(220\) | 1.95863 | − | 0.943227i | 0.132051 | − | 0.0635923i | ||||
\(221\) | 0.330480 | 0.0222305 | ||||||||
\(222\) | −0.618808 | −0.0415317 | ||||||||
\(223\) | −7.68426 | + | 3.70055i | −0.514576 | + | 0.247807i | −0.673104 | − | 0.739548i | \(-0.735039\pi\) |
0.158528 | + | 0.987354i | \(0.449325\pi\) | |||||||
\(224\) | −0.107232 | − | 0.469813i | −0.00716472 | − | 0.0313907i | ||||
\(225\) | 2.69543 | + | 1.29805i | 0.179695 | + | 0.0865366i | ||||
\(226\) | 1.08750 | + | 4.76466i | 0.0723396 | + | 0.316940i | ||||
\(227\) | −13.1596 | − | 16.5016i | −0.873432 | − | 1.09525i | −0.994719 | − | 0.102632i | \(-0.967274\pi\) |
0.121288 | − | 0.992617i | \(-0.461298\pi\) | |||||||
\(228\) | 0.297128 | − | 0.143089i | 0.0196778 | − | 0.00947632i | ||||
\(229\) | −1.52595 | − | 1.91348i | −0.100838 | − | 0.126447i | 0.728852 | − | 0.684671i | \(-0.240054\pi\) |
−0.829690 | + | 0.558225i | \(0.811483\pi\) | |||||||
\(230\) | 0.757865 | − | 3.32042i | 0.0499721 | − | 0.218942i | ||||
\(231\) | −0.0859931 | − | 0.0414121i | −0.00565793 | − | 0.00272472i | ||||
\(232\) | −2.98131 | − | 1.43572i | −0.195732 | − | 0.0942597i | ||||
\(233\) | −0.0582865 | + | 0.0730889i | −0.00381847 | + | 0.00478822i | −0.783737 | − | 0.621093i | \(-0.786689\pi\) |
0.779919 | + | 0.625881i | \(0.215260\pi\) | |||||||
\(234\) | 0.830134 | − | 3.63705i | 0.0542676 | − | 0.237762i | ||||
\(235\) | 2.07192 | + | 9.07769i | 0.135157 | + | 0.592163i | ||||
\(236\) | −4.47941 | + | 5.61701i | −0.291585 | + | 0.365636i | ||||
\(237\) | −0.426503 | + | 0.534818i | −0.0277043 | + | 0.0347401i | ||||
\(238\) | −0.0284190 | − | 0.124512i | −0.00184213 | − | 0.00807091i | ||||
\(239\) | −1.66718 | + | 7.30441i | −0.107841 | + | 0.472483i | 0.891952 | + | 0.452131i | \(0.149336\pi\) |
−0.999793 | + | 0.0203522i | \(0.993521\pi\) | |||||||
\(240\) | −0.0568052 | + | 0.0712315i | −0.00366676 | + | 0.00459797i | ||||
\(241\) | −3.19909 | − | 1.54060i | −0.206072 | − | 0.0992389i | 0.328001 | − | 0.944677i | \(-0.393625\pi\) |
−0.534073 | + | 0.845438i | \(0.679339\pi\) | |||||||
\(242\) | 5.65276 | + | 2.72222i | 0.363373 | + | 0.174991i | ||||
\(243\) | 0.545368 | − | 2.38941i | 0.0349854 | − | 0.153281i | ||||
\(244\) | 3.28029 | + | 4.11336i | 0.209999 | + | 0.263331i | ||||
\(245\) | 6.09756 | − | 2.93643i | 0.389559 | − | 0.187602i | ||||
\(246\) | 0.0271518 | + | 0.0340473i | 0.00173114 | + | 0.00217078i | ||||
\(247\) | −1.00440 | − | 4.40055i | −0.0639082 | − | 0.280000i | ||||
\(248\) | 4.09307 | + | 1.97112i | 0.259910 | + | 0.125166i | ||||
\(249\) | 0.126834 | + | 0.555695i | 0.00803776 | + | 0.0352157i | ||||
\(250\) | −0.900969 | + | 0.433884i | −0.0569823 | + | 0.0274412i | ||||
\(251\) | 20.6185 | 1.30143 | 0.650714 | − | 0.759323i | \(-0.274470\pi\) | ||||
0.650714 | + | 0.759323i | \(0.274470\pi\) | |||||||
\(252\) | −1.44168 | −0.0908176 | ||||||||
\(253\) | −6.67073 | + | 3.21245i | −0.419385 | + | 0.201965i | ||||
\(254\) | 2.40358 | − | 10.5308i | 0.150814 | − | 0.660759i | ||||
\(255\) | −0.0150548 | + | 0.0188781i | −0.000942768 | + | 0.00118219i | ||||
\(256\) | 0.623490 | + | 0.781831i | 0.0389681 | + | 0.0488645i | ||||
\(257\) | 0.513451 | 0.0320282 | 0.0160141 | − | 0.999872i | \(-0.494902\pi\) | ||||
0.0160141 | + | 0.999872i | \(0.494902\pi\) | |||||||
\(258\) | 0.0862950 | + | 0.591173i | 0.00537249 | + | 0.0368048i | ||||
\(259\) | 3.27303 | 0.203376 | ||||||||
\(260\) | 0.777479 | + | 0.974928i | 0.0482172 | + | 0.0604625i | ||||
\(261\) | −6.17226 | + | 7.73976i | −0.382053 | + | 0.479079i | ||||
\(262\) | −1.83135 | + | 8.02367i | −0.113141 | + | 0.495704i | ||||
\(263\) | 4.89128 | − | 2.35552i | 0.301609 | − | 0.145247i | −0.276958 | − | 0.960882i | \(-0.589326\pi\) |
0.578567 | + | 0.815635i | \(0.303612\pi\) | |||||||
\(264\) | 0.198062 | 0.0121899 | ||||||||
\(265\) | −12.6288 | −0.775779 | ||||||||
\(266\) | −1.57158 | + | 0.756834i | −0.0963599 | + | 0.0464045i | ||||
\(267\) | −0.304435 | − | 1.33382i | −0.0186311 | − | 0.0816284i | ||||
\(268\) | 5.98166 | + | 2.88061i | 0.365388 | + | 0.175962i | ||||
\(269\) | 3.47004 | + | 15.2032i | 0.211572 | + | 0.926958i | 0.963499 | + | 0.267712i | \(0.0862674\pi\) |
−0.751927 | + | 0.659246i | \(0.770875\pi\) | |||||||
\(270\) | 0.340360 | + | 0.426798i | 0.0207136 | + | 0.0259741i | ||||
\(271\) | −5.07514 | + | 2.44406i | −0.308293 | + | 0.148466i | −0.581633 | − | 0.813452i | \(-0.697586\pi\) |
0.273340 | + | 0.961917i | \(0.411872\pi\) | |||||||
\(272\) | 0.165240 | + | 0.207205i | 0.0100192 | + | 0.0125636i | ||||
\(273\) | 0.0121826 | − | 0.0533756i | 0.000737327 | − | 0.00323044i | ||||
\(274\) | −3.24526 | − | 1.56283i | −0.196053 | − | 0.0944142i | ||||
\(275\) | 1.95863 | + | 0.943227i | 0.118110 | + | 0.0568787i | ||||
\(276\) | 0.193468 | − | 0.242601i | 0.0116454 | − | 0.0146029i | ||||
\(277\) | −3.50972 | + | 15.3771i | −0.210879 | + | 0.923920i | 0.753093 | + | 0.657914i | \(0.228561\pi\) |
−0.963971 | + | 0.266006i | \(0.914296\pi\) | |||||||
\(278\) | −1.76639 | − | 7.73905i | −0.105941 | − | 0.464157i | ||||
\(279\) | 8.47396 | − | 10.6260i | 0.507323 | − | 0.636163i | ||||
\(280\) | 0.300456 | − | 0.376761i | 0.0179557 | − | 0.0225157i | ||||
\(281\) | 0.518312 | + | 2.27087i | 0.0309199 | + | 0.135469i | 0.988032 | − | 0.154249i | \(-0.0492957\pi\) |
−0.957112 | + | 0.289718i | \(0.906439\pi\) | |||||||
\(282\) | −0.188770 | + | 0.827054i | −0.0112411 | + | 0.0492504i | ||||
\(283\) | −2.78706 | + | 3.49486i | −0.165673 | + | 0.207748i | −0.857737 | − | 0.514089i | \(-0.828130\pi\) |
0.692064 | + | 0.721836i | \(0.256702\pi\) | |||||||
\(284\) | 4.71790 | + | 2.27202i | 0.279956 | + | 0.134820i | ||||
\(285\) | 0.297128 | + | 0.143089i | 0.0176004 | + | 0.00847588i | ||||
\(286\) | 0.603216 | − | 2.64286i | 0.0356689 | − | 0.156276i | ||||
\(287\) | −0.143613 | − | 0.180084i | −0.00847718 | − | 0.0106301i | ||||
\(288\) | 2.69543 | − | 1.29805i | 0.158830 | − | 0.0764883i | ||||
\(289\) | −10.5555 | − | 13.2362i | −0.620914 | − | 0.778601i | ||||
\(290\) | −0.736322 | − | 3.22604i | −0.0432383 | − | 0.189439i | ||||
\(291\) | 0.345114 | + | 0.166198i | 0.0202309 | + | 0.00974271i | ||||
\(292\) | −0.227156 | − | 0.995235i | −0.0132933 | − | 0.0582417i | ||||
\(293\) | 16.9825 | − | 8.17832i | 0.992126 | − | 0.477783i | 0.133867 | − | 0.990999i | \(-0.457261\pi\) |
0.858259 | + | 0.513217i | \(0.171546\pi\) | |||||||
\(294\) | 0.616602 | 0.0359610 | ||||||||
\(295\) | −7.18442 | −0.418293 | ||||||||
\(296\) | −6.11937 | + | 2.94694i | −0.355681 | + | 0.171287i | ||||
\(297\) | 0.264072 | − | 1.15698i | 0.0153230 | − | 0.0671345i | ||||
\(298\) | −14.4883 | + | 18.1678i | −0.839287 | + | 1.05243i | ||||
\(299\) | −2.64795 | − | 3.32042i | −0.153135 | − | 0.192025i | ||||
\(300\) | −0.0911085 | −0.00526015 | ||||||||
\(301\) | −0.456435 | − | 3.12686i | −0.0263085 | − | 0.180229i | ||||
\(302\) | 7.75446 | 0.446219 | ||||||||
\(303\) | 0.305719 | + | 0.383359i | 0.0175631 | + | 0.0220234i | ||||
\(304\) | 2.25686 | − | 2.83001i | 0.129440 | − | 0.162312i | ||||
\(305\) | −1.17072 | + | 5.12927i | −0.0670354 | + | 0.293701i | ||||
\(306\) | 0.714355 | − | 0.344015i | 0.0408370 | − | 0.0196660i | ||||
\(307\) | −21.7636 | −1.24211 | −0.621057 | − | 0.783765i | \(-0.713296\pi\) | ||||
−0.621057 | + | 0.783765i | \(0.713296\pi\) | |||||||
\(308\) | −1.04760 | −0.0596925 | ||||||||
\(309\) | −0.178773 | + | 0.0860927i | −0.0101701 | + | 0.00489764i | ||||
\(310\) | 1.01090 | + | 4.42906i | 0.0574155 | + | 0.251554i | ||||
\(311\) | 26.3188 | + | 12.6745i | 1.49240 | + | 0.718703i | 0.989350 | − | 0.145554i | \(-0.0464965\pi\) |
0.503051 | + | 0.864257i | \(0.332211\pi\) | |||||||
\(312\) | 0.0252807 | + | 0.110762i | 0.00143124 | + | 0.00627066i | ||||
\(313\) | −5.44325 | − | 6.82562i | −0.307671 | − | 0.385807i | 0.603825 | − | 0.797117i | \(-0.293643\pi\) |
−0.911495 | + | 0.411310i | \(0.865071\pi\) | |||||||
\(314\) | −2.54088 | + | 1.22362i | −0.143390 | + | 0.0690529i | ||||
\(315\) | −0.898875 | − | 1.12715i | −0.0506459 | − | 0.0635079i | ||||
\(316\) | −1.67072 | + | 7.31992i | −0.0939855 | + | 0.411777i | ||||
\(317\) | 21.8420 | + | 10.5186i | 1.22677 | + | 0.590781i | 0.931189 | − | 0.364537i | \(-0.118773\pi\) |
0.295580 | + | 0.955318i | \(0.404487\pi\) | |||||||
\(318\) | −1.03664 | − | 0.499222i | −0.0581321 | − | 0.0279950i | ||||
\(319\) | −4.48507 | + | 5.62409i | −0.251115 | + | 0.314889i | ||||
\(320\) | −0.222521 | + | 0.974928i | −0.0124393 | + | 0.0545001i | ||||
\(321\) | 0.216490 | + | 0.948505i | 0.0120833 | + | 0.0529404i | ||||
\(322\) | −1.02330 | + | 1.28318i | −0.0570262 | + | 0.0715086i | ||||
\(323\) | 0.598124 | − | 0.750023i | 0.0332805 | − | 0.0417324i | ||||
\(324\) | −1.98608 | − | 8.70158i | −0.110338 | − | 0.483421i | ||||
\(325\) | −0.277479 | + | 1.21572i | −0.0153918 | + | 0.0674357i | ||||
\(326\) | 7.41634 | − | 9.29980i | 0.410753 | − | 0.515068i | ||||
\(327\) | −0.283479 | − | 0.136516i | −0.0156764 | − | 0.00754937i | ||||
\(328\) | 0.430646 | + | 0.207388i | 0.0237785 | + | 0.0114511i | ||||
\(329\) | 0.998449 | − | 4.37449i | 0.0550463 | − | 0.241173i | ||||
\(330\) | 0.123490 | + | 0.154851i | 0.00679789 | + | 0.00852428i | ||||
\(331\) | 21.3416 | − | 10.2776i | 1.17304 | − | 0.564907i | 0.257165 | − | 0.966368i | \(-0.417212\pi\) |
0.915876 | + | 0.401461i | \(0.131497\pi\) | |||||||
\(332\) | 3.90063 | + | 4.89123i | 0.214075 | + | 0.268441i | ||||
\(333\) | 4.52154 | + | 19.8101i | 0.247779 | + | 1.08559i | ||||
\(334\) | 3.84263 | + | 1.85051i | 0.210259 | + | 0.101256i | ||||
\(335\) | 1.47735 | + | 6.47268i | 0.0807161 | + | 0.353640i | ||||
\(336\) | 0.0395568 | − | 0.0190495i | 0.00215800 | − | 0.00103924i | ||||
\(337\) | 17.5782 | 0.957546 | 0.478773 | − | 0.877939i | \(-0.341082\pi\) | ||||
0.478773 | + | 0.877939i | \(0.341082\pi\) | |||||||
\(338\) | −11.4450 | −0.622528 | ||||||||
\(339\) | −0.401170 | + | 0.193193i | −0.0217885 | + | 0.0104928i | ||||
\(340\) | −0.0589736 | + | 0.258380i | −0.00319829 | + | 0.0140126i | ||||
\(341\) | 6.15760 | − | 7.72138i | 0.333453 | − | 0.418136i | ||||
\(342\) | −6.75184 | − | 8.46654i | −0.365098 | − | 0.457818i | ||||
\(343\) | −6.63462 | −0.358236 | ||||||||
\(344\) | 3.66870 | + | 5.43513i | 0.197803 | + | 0.293043i | ||||
\(345\) | 0.310299 | 0.0167059 | ||||||||
\(346\) | 2.48850 | + | 3.12048i | 0.133782 | + | 0.167758i | ||||
\(347\) | −8.97917 | + | 11.2595i | −0.482027 | + | 0.604443i | −0.962070 | − | 0.272802i | \(-0.912050\pi\) |
0.480043 | + | 0.877245i | \(0.340621\pi\) | |||||||
\(348\) | 0.0670852 | − | 0.293919i | 0.00359614 | − | 0.0157557i | ||||
\(349\) | 19.2510 | − | 9.27078i | 1.03048 | − | 0.496253i | 0.159307 | − | 0.987229i | \(-0.449074\pi\) |
0.871173 | + | 0.490976i | \(0.163360\pi\) | |||||||
\(350\) | 0.481895 | 0.0257584 | ||||||||
\(351\) | 0.680720 | 0.0363341 | ||||||||
\(352\) | 1.95863 | − | 0.943227i | 0.104395 | − | 0.0502742i | ||||
\(353\) | −4.59331 | − | 20.1246i | −0.244477 | − | 1.07112i | −0.936890 | − | 0.349623i | \(-0.886310\pi\) |
0.692413 | − | 0.721501i | \(-0.256548\pi\) | |||||||
\(354\) | −0.589740 | − | 0.284004i | −0.0313443 | − | 0.0150946i | ||||
\(355\) | 1.16523 | + | 5.10519i | 0.0618438 | + | 0.270955i | ||||
\(356\) | −9.36256 | − | 11.7403i | −0.496215 | − | 0.622234i | ||||
\(357\) | 0.0104835 | − | 0.00504860i | 0.000554847 | − | 0.000267200i | ||||
\(358\) | −5.41677 | − | 6.79241i | −0.286285 | − | 0.358990i | ||||
\(359\) | 3.16761 | − | 13.8782i | 0.167180 | − | 0.732463i | −0.819936 | − | 0.572455i | \(-0.805991\pi\) |
0.987116 | − | 0.160007i | \(-0.0511518\pi\) | |||||||
\(360\) | 2.69543 | + | 1.29805i | 0.142062 | + | 0.0684132i | ||||
\(361\) | 5.31357 | + | 2.55888i | 0.279662 | + | 0.134678i | ||||
\(362\) | −2.02007 | + | 2.53308i | −0.106172 | + | 0.133136i | ||||
\(363\) | −0.127198 | + | 0.557291i | −0.00667617 | + | 0.0292502i | ||||
\(364\) | −0.133716 | − | 0.585847i | −0.00700861 | − | 0.0307067i | ||||
\(365\) | 0.636477 | − | 0.798117i | 0.0333147 | − | 0.0417753i | ||||
\(366\) | −0.298863 | + | 0.374762i | −0.0156218 | + | 0.0195891i | ||||
\(367\) | 2.36795 | + | 10.3747i | 0.123606 | + | 0.541553i | 0.998374 | + | 0.0570102i | \(0.0181568\pi\) |
−0.874768 | + | 0.484542i | \(0.838986\pi\) | |||||||
\(368\) | 0.757865 | − | 3.32042i | 0.0395064 | − | 0.173089i | ||||
\(369\) | 0.891576 | − | 1.11800i | 0.0464136 | − | 0.0582008i | ||||
\(370\) | −6.11937 | − | 2.94694i | −0.318131 | − | 0.153204i | ||||
\(371\) | 5.48306 | + | 2.64050i | 0.284666 | + | 0.137088i | ||||
\(372\) | −0.0921020 | + | 0.403525i | −0.00477527 | + | 0.0209218i | ||||
\(373\) | −12.8124 | − | 16.0662i | −0.663399 | − | 0.831876i | 0.330309 | − | 0.943873i | \(-0.392847\pi\) |
−0.993709 | + | 0.111996i | \(0.964275\pi\) | |||||||
\(374\) | 0.519086 | − | 0.249978i | 0.0268413 | − | 0.0129261i | ||||
\(375\) | −0.0568052 | − | 0.0712315i | −0.00293341 | − | 0.00367838i | ||||
\(376\) | 2.07192 | + | 9.07769i | 0.106851 | + | 0.468146i | ||||
\(377\) | −3.71763 | − | 1.79031i | −0.191468 | − | 0.0922059i | ||||
\(378\) | −0.0585372 | − | 0.256468i | −0.00301083 | − | 0.0131913i | ||||
\(379\) | −3.61904 | + | 1.74284i | −0.185897 | + | 0.0895235i | −0.524517 | − | 0.851400i | \(-0.675754\pi\) |
0.338620 | + | 0.940923i | \(0.390040\pi\) | |||||||
\(380\) | 3.61972 | 0.185688 | ||||||||
\(381\) | 0.984116 | 0.0504178 | ||||||||
\(382\) | −13.6030 | + | 6.55088i | −0.695992 | + | 0.335172i | ||||
\(383\) | 5.84586 | − | 25.6124i | 0.298709 | − | 1.30873i | −0.573341 | − | 0.819317i | \(-0.694353\pi\) |
0.872051 | − | 0.489415i | \(-0.162790\pi\) | |||||||
\(384\) | −0.0568052 | + | 0.0712315i | −0.00289883 | + | 0.00363502i | ||||
\(385\) | −0.653167 | − | 0.819046i | −0.0332885 | − | 0.0417424i | ||||
\(386\) | −7.07152 | −0.359931 | ||||||||
\(387\) | 18.2949 | − | 7.08220i | 0.929983 | − | 0.360009i | ||||
\(388\) | 4.20430 | 0.213441 | ||||||||
\(389\) | −8.55174 | − | 10.7235i | −0.433591 | − | 0.543706i | 0.516251 | − | 0.856437i | \(-0.327327\pi\) |
−0.949841 | + | 0.312732i | \(0.898756\pi\) | |||||||
\(390\) | −0.0708350 | + | 0.0888242i | −0.00358687 | + | 0.00449779i | ||||
\(391\) | 0.200853 | − | 0.879994i | 0.0101576 | − | 0.0445032i | ||||
\(392\) | 6.09756 | − | 2.93643i | 0.307973 | − | 0.148312i | ||||
\(393\) | −0.749824 | −0.0378236 | ||||||||
\(394\) | −9.36020 | −0.471560 | ||||||||
\(395\) | −6.76462 | + | 3.25767i | −0.340365 | + | 0.163911i | ||||
\(396\) | −1.44721 | − | 6.34064i | −0.0727250 | − | 0.318629i | ||||
\(397\) | 35.0094 | + | 16.8596i | 1.75707 | + | 0.846161i | 0.974754 | + | 0.223280i | \(0.0716764\pi\) |
0.782317 | + | 0.622881i | \(0.214038\pi\) | |||||||
\(398\) | −4.64840 | − | 20.3660i | −0.233003 | − | 1.02085i | ||||
\(399\) | −0.0990867 | − | 0.124251i | −0.00496054 | − | 0.00622032i | ||||
\(400\) | −0.900969 | + | 0.433884i | −0.0450484 | + | 0.0216942i | ||||
\(401\) | −11.4822 | − | 14.3983i | −0.573395 | − | 0.719015i | 0.407575 | − | 0.913172i | \(-0.366374\pi\) |
−0.980971 | + | 0.194157i | \(0.937803\pi\) | |||||||
\(402\) | −0.134599 | + | 0.589716i | −0.00671318 | + | 0.0294124i | ||||
\(403\) | 5.10397 | + | 2.45794i | 0.254247 | + | 0.122439i | ||||
\(404\) | 4.84890 | + | 2.33511i | 0.241242 | + | 0.116176i | ||||
\(405\) | 5.56487 | − | 6.97813i | 0.276521 | − | 0.346746i | ||||
\(406\) | −0.354830 | + | 1.55461i | −0.0176099 | + | 0.0771540i | ||||
\(407\) | 3.28557 | + | 14.3950i | 0.162860 | + | 0.713535i | ||||
\(408\) | −0.0150548 | + | 0.0188781i | −0.000745323 | + | 0.000934606i | ||||
\(409\) | 17.5295 | − | 21.9813i | 0.866779 | − | 1.08691i | −0.128677 | − | 0.991687i | \(-0.541073\pi\) |
0.995456 | − | 0.0952201i | \(-0.0303555\pi\) | |||||||
\(410\) | 0.106361 | + | 0.465997i | 0.00525279 | + | 0.0230140i | ||||
\(411\) | 0.0730245 | − | 0.319941i | 0.00360204 | − | 0.0157815i | ||||
\(412\) | −1.35789 | + | 1.70274i | −0.0668983 | + | 0.0838878i | ||||
\(413\) | 3.11928 | + | 1.50216i | 0.153490 | + | 0.0739167i | ||||
\(414\) | −9.18012 | − | 4.42091i | −0.451178 | − | 0.217276i | ||||
\(415\) | −1.39212 | + | 6.09926i | −0.0683363 | + | 0.299401i | ||||
\(416\) | 0.777479 | + | 0.974928i | 0.0381190 | + | 0.0477998i | ||||
\(417\) | 0.651604 | − | 0.313796i | 0.0319092 | − | 0.0153667i | ||||
\(418\) | −4.90622 | − | 6.15221i | −0.239971 | − | 0.300914i | ||||
\(419\) | −0.940425 | − | 4.12027i | −0.0459427 | − | 0.201288i | 0.946748 | − | 0.321976i | \(-0.104347\pi\) |
−0.992691 | + | 0.120688i | \(0.961490\pi\) | |||||||
\(420\) | 0.0395568 | + | 0.0190495i | 0.00193017 | + | 0.000929522i | ||||
\(421\) | −5.35152 | − | 23.4465i | −0.260817 | − | 1.14271i | −0.920368 | − | 0.391054i | \(-0.872111\pi\) |
0.659551 | − | 0.751660i | \(-0.270746\pi\) | |||||||
\(422\) | −2.59670 | + | 1.25050i | −0.126405 | + | 0.0608736i | ||||
\(423\) | 27.8561 | 1.35441 | ||||||||
\(424\) | −12.6288 | −0.613307 | ||||||||
\(425\) | −0.238779 | + | 0.114990i | −0.0115825 | + | 0.00557783i | ||||
\(426\) | −0.106162 | + | 0.465126i | −0.00514357 | + | 0.0225354i | ||||
\(427\) | 1.58076 | − | 1.98221i | 0.0764981 | − | 0.0959256i | ||||
\(428\) | 6.65790 | + | 8.34874i | 0.321822 | + | 0.403552i | ||||
\(429\) | 0.246980 | 0.0119243 | ||||||||
\(430\) | −1.96196 | + | 6.25705i | −0.0946142 | + | 0.301742i | ||||
\(431\) | 0.750696 | 0.0361598 | 0.0180799 | − | 0.999837i | \(-0.494245\pi\) | ||||
0.0180799 | + | 0.999837i | \(0.494245\pi\) | |||||||
\(432\) | 0.340360 | + | 0.426798i | 0.0163756 | + | 0.0205343i | ||||
\(433\) | −8.41718 | + | 10.5548i | −0.404504 | + | 0.507232i | −0.941806 | − | 0.336158i | \(-0.890872\pi\) |
0.537301 | + | 0.843390i | \(0.319444\pi\) | |||||||
\(434\) | 0.487150 | − | 2.13434i | 0.0233839 | − | 0.102452i | ||||
\(435\) | 0.271622 | − | 0.130806i | 0.0130233 | − | 0.00627169i | ||||
\(436\) | −3.45344 | −0.165390 | ||||||||
\(437\) | −12.3281 | −0.589733 | ||||||||
\(438\) | 0.0837958 | − | 0.0403539i | 0.00400392 | − | 0.00192818i | ||||
\(439\) | −6.16124 | − | 26.9942i | −0.294060 | − | 1.28836i | −0.878820 | − | 0.477154i | \(-0.841668\pi\) |
0.584760 | − | 0.811207i | \(-0.301189\pi\) | |||||||
\(440\) | 1.95863 | + | 0.943227i | 0.0933741 | + | 0.0449666i | ||||
\(441\) | −4.50542 | − | 19.7395i | −0.214544 | − | 0.939977i | ||||
\(442\) | 0.206051 | + | 0.258380i | 0.00980086 | + | 0.0122899i | ||||
\(443\) | 32.1795 | − | 15.4968i | 1.52889 | − | 0.736276i | 0.534817 | − | 0.844968i | \(-0.320380\pi\) |
0.994075 | + | 0.108692i | \(0.0346662\pi\) | |||||||
\(444\) | −0.385821 | − | 0.483804i | −0.0183102 | − | 0.0229603i | ||||
\(445\) | 3.34146 | − | 14.6399i | 0.158400 | − | 0.693998i | ||||
\(446\) | −7.68426 | − | 3.70055i | −0.363860 | − | 0.175226i | ||||
\(447\) | −1.90747 | − | 0.918589i | −0.0902202 | − | 0.0434478i | ||||
\(448\) | 0.300456 | − | 0.376761i | 0.0141952 | − | 0.0178003i | ||||
\(449\) | −1.73499 | + | 7.60150i | −0.0818794 | + | 0.358737i | −0.999225 | − | 0.0393540i | \(-0.987470\pi\) |
0.917346 | + | 0.398091i | \(0.130327\pi\) | |||||||
\(450\) | 0.665716 | + | 2.91669i | 0.0313821 | + | 0.137494i | ||||
\(451\) | 0.647863 | − | 0.812394i | 0.0305067 | − | 0.0382542i | ||||
\(452\) | −3.04711 | + | 3.82096i | −0.143324 | + | 0.179723i | ||||
\(453\) | 0.157210 | + | 0.688784i | 0.00738639 | + | 0.0323619i | ||||
\(454\) | 4.69660 | − | 20.5771i | 0.220422 | − | 0.965733i | ||||
\(455\) | 0.374663 | − | 0.469813i | 0.0175645 | − | 0.0220252i | ||||
\(456\) | 0.297128 | + | 0.143089i | 0.0139143 | + | 0.00670077i | ||||
\(457\) | −11.2906 | − | 5.43725i | −0.528150 | − | 0.254344i | 0.150753 | − | 0.988571i | \(-0.451830\pi\) |
−0.678903 | + | 0.734228i | \(0.737544\pi\) | |||||||
\(458\) | 0.544606 | − | 2.38607i | 0.0254478 | − | 0.111494i | ||||
\(459\) | 0.0902038 | + | 0.113112i | 0.00421035 | + | 0.00527961i | ||||
\(460\) | 3.06853 | − | 1.47773i | 0.143071 | − | 0.0688994i | ||||
\(461\) | −26.0363 | − | 32.6485i | −1.21263 | − | 1.52059i | −0.788556 | − | 0.614962i | \(-0.789171\pi\) |
−0.424074 | − | 0.905628i | \(-0.639400\pi\) | |||||||
\(462\) | −0.0212385 | − | 0.0930522i | −0.000988107 | − | 0.00432918i | ||||
\(463\) | −23.2189 | − | 11.1816i | −1.07908 | − | 0.519655i | −0.192054 | − | 0.981384i | \(-0.561515\pi\) |
−0.887021 | + | 0.461729i | \(0.847229\pi\) | |||||||
\(464\) | −0.736322 | − | 3.22604i | −0.0341829 | − | 0.149765i | ||||
\(465\) | −0.372913 | + | 0.179586i | −0.0172934 | + | 0.00832808i | ||||
\(466\) | −0.0934843 | −0.00433057 | ||||||||
\(467\) | 5.39533 | 0.249666 | 0.124833 | − | 0.992178i | \(-0.460160\pi\) | ||||
0.124833 | + | 0.992178i | \(0.460160\pi\) | |||||||
\(468\) | 3.36114 | − | 1.61864i | 0.155369 | − | 0.0748217i | ||||
\(469\) | 0.711926 | − | 3.11915i | 0.0328737 | − | 0.144029i | ||||
\(470\) | −5.80540 | + | 7.27974i | −0.267783 | + | 0.335789i | ||||
\(471\) | −0.160200 | − | 0.200884i | −0.00738161 | − | 0.00925625i | ||||
\(472\) | −7.18442 | −0.330690 | ||||||||
\(473\) | 13.2940 | − | 5.14628i | 0.611258 | − | 0.236626i | ||||
\(474\) | −0.684057 | −0.0314198 | ||||||||
\(475\) | 2.25686 | + | 2.83001i | 0.103552 | + | 0.129850i | ||||
\(476\) | 0.0796284 | − | 0.0998509i | 0.00364976 | − | 0.00457666i | ||||
\(477\) | −8.40717 | + | 36.8342i | −0.384938 | + | 1.68652i | ||||
\(478\) | −6.75029 | + | 3.25077i | −0.308751 | + | 0.148687i | ||||
\(479\) | −14.5475 | −0.664693 | −0.332346 | − | 0.943157i | \(-0.607840\pi\) | ||||
−0.332346 | + | 0.943157i | \(0.607840\pi\) | |||||||
\(480\) | −0.0911085 | −0.00415852 | ||||||||
\(481\) | −7.63073 | + | 3.67477i | −0.347932 | + | 0.167555i | ||||
\(482\) | −0.790110 | − | 3.46170i | −0.0359885 | − | 0.157676i | ||||
\(483\) | −0.134723 | − | 0.0648792i | −0.00613011 | − | 0.00295210i | ||||
\(484\) | 1.39612 | + | 6.11678i | 0.0634598 | + | 0.278036i | ||||
\(485\) | 2.62134 | + | 3.28706i | 0.119029 | + | 0.149258i | ||||
\(486\) | 2.20815 | − | 1.06339i | 0.100164 | − | 0.0482363i | ||||
\(487\) | 9.34686 | + | 11.7206i | 0.423547 | + | 0.531111i | 0.947124 | − | 0.320867i | \(-0.103974\pi\) |
−0.523577 | + | 0.851978i | \(0.675403\pi\) | |||||||
\(488\) | −1.17072 | + | 5.12927i | −0.0529961 | + | 0.232191i | ||||
\(489\) | 0.976403 | + | 0.470211i | 0.0441545 | + | 0.0212637i | ||||
\(490\) | 6.09756 | + | 2.93643i | 0.275460 | + | 0.132654i | ||||
\(491\) | −9.77164 | + | 12.2533i | −0.440988 | + | 0.552981i | −0.951803 | − | 0.306709i | \(-0.900772\pi\) |
0.510815 | + | 0.859690i | \(0.329344\pi\) | |||||||
\(492\) | −0.00969038 | + | 0.0424563i | −0.000436876 | + | 0.00191408i | ||||
\(493\) | −0.195143 | − | 0.854979i | −0.00878882 | − | 0.0385063i | ||||
\(494\) | 2.81426 | − | 3.52897i | 0.126619 | − | 0.158776i | ||||
\(495\) | 4.05499 | − | 5.08480i | 0.182258 | − | 0.228545i | ||||
\(496\) | 1.01090 | + | 4.42906i | 0.0453909 | + | 0.198871i | ||||
\(497\) | 0.561516 | − | 2.46016i | 0.0251875 | − | 0.110353i | ||||
\(498\) | −0.355380 | + | 0.445633i | −0.0159250 | + | 0.0199693i | ||||
\(499\) | 5.12098 | + | 2.46613i | 0.229247 | + | 0.110399i | 0.544981 | − | 0.838448i | \(-0.316537\pi\) |
−0.315735 | + | 0.948847i | \(0.602251\pi\) | |||||||
\(500\) | −0.900969 | − | 0.433884i | −0.0402926 | − | 0.0194039i | ||||
\(501\) | −0.0864667 | + | 0.378835i | −0.00386305 | + | 0.0169251i | ||||
\(502\) | 12.8554 | + | 16.1202i | 0.573766 | + | 0.719479i | ||||
\(503\) | 33.8750 | − | 16.3133i | 1.51041 | − | 0.727375i | 0.518590 | − | 0.855023i | \(-0.326457\pi\) |
0.991820 | + | 0.127648i | \(0.0407427\pi\) | |||||||
\(504\) | −0.898875 | − | 1.12715i | −0.0400391 | − | 0.0502074i | ||||
\(505\) | 1.19758 | + | 5.24694i | 0.0532916 | + | 0.233486i | ||||
\(506\) | −6.67073 | − | 3.21245i | −0.296550 | − | 0.142811i | ||||
\(507\) | −0.232032 | − | 1.01660i | −0.0103049 | − | 0.0451487i | ||||
\(508\) | 9.73189 | − | 4.68663i | 0.431783 | − | 0.207936i | ||||
\(509\) | 29.4161 | 1.30385 | 0.651924 | − | 0.758284i | \(-0.273962\pi\) | ||||
0.651924 | + | 0.758284i | \(0.273962\pi\) | |||||||
\(510\) | −0.0241460 | −0.00106920 | ||||||||
\(511\) | −0.443216 | + | 0.213442i | −0.0196067 | + | 0.00944210i | ||||
\(512\) | −0.222521 | + | 0.974928i | −0.00983413 | + | 0.0430861i | ||||
\(513\) | 1.23201 | − | 1.54489i | 0.0543945 | − | 0.0682085i | ||||
\(514\) | 0.320131 | + | 0.401432i | 0.0141204 | + | 0.0177064i | ||||
\(515\) | −2.17788 | −0.0959689 | ||||||||
\(516\) | −0.408394 | + | 0.436059i | −0.0179785 | + | 0.0191964i | ||||
\(517\) | 20.2416 | 0.890226 | ||||||||
\(518\) | 2.04070 | + | 2.55895i | 0.0896631 | + | 0.112434i | ||||
\(519\) | −0.226723 | + | 0.284302i | −0.00995205 | + | 0.0124795i | ||||
\(520\) | −0.277479 | + | 1.21572i | −0.0121683 | + | 0.0533126i | ||||
\(521\) | −25.7971 | + | 12.4232i | −1.13019 | + | 0.544272i | −0.903027 | − | 0.429584i | \(-0.858660\pi\) |
−0.227166 | + | 0.973856i | \(0.572946\pi\) | |||||||
\(522\) | −9.89953 | −0.433291 | ||||||||
\(523\) | −23.8407 | −1.04248 | −0.521240 | − | 0.853410i | \(-0.674530\pi\) | ||||
−0.521240 | + | 0.853410i | \(0.674530\pi\) | |||||||
\(524\) | −7.41499 | + | 3.57087i | −0.323925 | + | 0.155994i | ||||
\(525\) | 0.00976972 | + | 0.0428039i | 0.000426385 | + | 0.00186812i | ||||
\(526\) | 4.89128 | + | 2.35552i | 0.213270 | + | 0.102705i | ||||
\(527\) | 0.267915 | + | 1.17381i | 0.0116705 | + | 0.0511320i | ||||
\(528\) | 0.123490 | + | 0.154851i | 0.00537420 | + | 0.00673904i | ||||
\(529\) | 10.2714 | − | 4.94646i | 0.446584 | − | 0.215064i | ||||
\(530\) | −7.87391 | − | 9.87357i | −0.342021 | − | 0.428881i | ||||
\(531\) | −4.78278 | + | 20.9547i | −0.207555 | + | 0.909358i | ||||
\(532\) | −1.57158 | − | 0.756834i | −0.0681367 | − | 0.0328129i | ||||
\(533\) | 0.537007 | + | 0.258609i | 0.0232604 | + | 0.0112016i | ||||
\(534\) | 0.853009 | − | 1.06964i | 0.0369133 | − | 0.0462878i | ||||
\(535\) | −2.37618 | + | 10.4107i | −0.102731 | + | 0.450094i | ||||
\(536\) | 1.47735 | + | 6.47268i | 0.0638117 | + | 0.279577i | ||||
\(537\) | 0.493513 | − | 0.618846i | 0.0212967 | − | 0.0267052i | ||||
\(538\) | −9.72284 | + | 12.1921i | −0.419181 | + | 0.525637i | ||||
\(539\) | −3.27386 | − | 14.3437i | −0.141015 | − | 0.617827i | ||||
\(540\) | −0.121473 | + | 0.532208i | −0.00522737 | + | 0.0229026i | ||||
\(541\) | 17.6309 | − | 22.1085i | 0.758012 | − | 0.950517i | −0.241791 | − | 0.970328i | \(-0.577735\pi\) |
0.999804 | + | 0.0198109i | \(0.00630641\pi\) | |||||||
\(542\) | −5.07514 | − | 2.44406i | −0.217996 | − | 0.104981i | ||||
\(543\) | −0.265953 | − | 0.128076i | −0.0114131 | − | 0.00549627i | ||||
\(544\) | −0.0589736 | + | 0.258380i | −0.00252847 | + | 0.0110780i | ||||
\(545\) | −2.15319 | − | 2.70001i | −0.0922324 | − | 0.115656i | ||||
\(546\) | 0.0493265 | − | 0.0237544i | 0.00211098 | − | 0.00101659i | ||||
\(547\) | 12.4552 | + | 15.6183i | 0.532545 | + | 0.667791i | 0.973220 | − | 0.229876i | \(-0.0738322\pi\) |
−0.440675 | + | 0.897667i | \(0.645261\pi\) | |||||||
\(548\) | −0.801512 | − | 3.51165i | −0.0342389 | − | 0.150010i | ||||
\(549\) | 14.1811 | + | 6.82927i | 0.605236 | + | 0.291466i | ||||
\(550\) | 0.483742 | + | 2.11941i | 0.0206268 | + | 0.0903720i | ||||
\(551\) | −10.7915 | + | 5.19691i | −0.459733 | + | 0.221396i | ||||
\(552\) | 0.310299 | 0.0132072 | ||||||||
\(553\) | 3.61814 | 0.153859 | ||||||||
\(554\) | −14.2106 | + | 6.84345i | −0.603749 | + | 0.290750i | ||||
\(555\) | 0.137698 | − | 0.603294i | 0.00584495 | − | 0.0256084i | ||||
\(556\) | 4.94931 | − | 6.20623i | 0.209897 | − | 0.263203i | ||||
\(557\) | 3.16847 | + | 3.97313i | 0.134252 | + | 0.168347i | 0.844413 | − | 0.535692i | \(-0.179949\pi\) |
−0.710161 | + | 0.704039i | \(0.751378\pi\) | |||||||
\(558\) | 13.5912 | 0.575361 | ||||||||
\(559\) | 4.57479 | + | 6.77750i | 0.193493 | + | 0.286658i | ||||
\(560\) | 0.481895 | 0.0203638 | ||||||||
\(561\) | 0.0327279 | + | 0.0410394i | 0.00138177 | + | 0.00173269i | ||||
\(562\) | −1.45228 | + | 1.82110i | −0.0612607 | + | 0.0768184i | ||||
\(563\) | −7.90229 | + | 34.6222i | −0.333042 | + | 1.45915i | 0.480166 | + | 0.877178i | \(0.340576\pi\) |
−0.813208 | + | 0.581973i | \(0.802281\pi\) | |||||||
\(564\) | −0.764313 | + | 0.368074i | −0.0321834 | + | 0.0154987i | ||||
\(565\) | −4.88719 | −0.205606 | ||||||||
\(566\) | −4.47009 | −0.187892 | ||||||||
\(567\) | −3.87514 | + | 1.86617i | −0.162741 | + | 0.0783718i | ||||
\(568\) | 1.16523 | + | 5.10519i | 0.0488918 | + | 0.214209i | ||||
\(569\) | −9.57265 | − | 4.60994i | −0.401306 | − | 0.193259i | 0.222334 | − | 0.974971i | \(-0.428633\pi\) |
−0.623640 | + | 0.781712i | \(0.714347\pi\) | |||||||
\(570\) | 0.0733846 | + | 0.321519i | 0.00307374 | + | 0.0134669i | ||||
\(571\) | −24.2309 | − | 30.3846i | −1.01403 | − | 1.27156i | −0.962040 | − | 0.272910i | \(-0.912014\pi\) |
−0.0519938 | − | 0.998647i | \(-0.516558\pi\) | |||||||
\(572\) | 2.44237 | − | 1.17618i | 0.102121 | − | 0.0491788i | ||||
\(573\) | −0.857659 | − | 1.07547i | −0.0358292 | − | 0.0449284i | ||||
\(574\) | 0.0512547 | − | 0.224562i | 0.00213933 | − | 0.00937302i | ||||
\(575\) | 3.06853 | + | 1.47773i | 0.127967 | + | 0.0616255i | ||||
\(576\) | 2.69543 | + | 1.29805i | 0.112309 | + | 0.0540854i | ||||
\(577\) | −21.0086 | + | 26.3439i | −0.874598 | + | 1.09671i | 0.119986 | + | 0.992776i | \(0.461715\pi\) |
−0.994584 | + | 0.103936i | \(0.966856\pi\) | |||||||
\(578\) | 3.76723 | − | 16.5053i | 0.156696 | − | 0.686530i | ||||
\(579\) | −0.143365 | − | 0.628123i | −0.00595804 | − | 0.0261039i | ||||
\(580\) | 2.06313 | − | 2.58708i | 0.0856667 | − | 0.107423i | ||||
\(581\) | 1.87969 | − | 2.35706i | 0.0779827 | − | 0.0977872i | ||||
\(582\) | 0.0852361 | + | 0.373444i | 0.00353315 | + | 0.0154797i | ||||
\(583\) | −6.10907 | + | 26.7656i | −0.253012 | + | 1.10852i | ||||
\(584\) | 0.636477 | − | 0.798117i | 0.0263376 | − | 0.0330263i | ||||
\(585\) | 3.36114 | + | 1.61864i | 0.138966 | + | 0.0669226i | ||||
\(586\) | 16.9825 | + | 8.17832i | 0.701539 | + | 0.337843i | ||||
\(587\) | −1.73991 | + | 7.62303i | −0.0718137 | + | 0.314636i | −0.998058 | − | 0.0622867i | \(-0.980161\pi\) |
0.926245 | + | 0.376923i | \(0.123018\pi\) | |||||||
\(588\) | 0.384445 | + | 0.482079i | 0.0158542 | + | 0.0198806i | ||||
\(589\) | 14.8158 | − | 7.13490i | 0.610473 | − | 0.293988i | ||||
\(590\) | −4.47941 | − | 5.61701i | −0.184415 | − | 0.231249i | ||||
\(591\) | −0.189764 | − | 0.831412i | −0.00780587 | − | 0.0341997i | ||||
\(592\) | −6.11937 | − | 2.94694i | −0.251505 | − | 0.121118i | ||||
\(593\) | −6.28979 | − | 27.5573i | −0.258291 | − | 1.13164i | −0.923078 | − | 0.384612i | \(-0.874335\pi\) |
0.664788 | − | 0.747032i | \(-0.268522\pi\) | |||||||
\(594\) | 1.06921 | − | 0.514903i | 0.0438701 | − | 0.0211267i | ||||
\(595\) | 0.127714 | 0.00523577 | ||||||||
\(596\) | −23.2375 | −0.951844 | ||||||||
\(597\) | 1.71475 | − | 0.825781i | 0.0701801 | − | 0.0337970i | ||||
\(598\) | 0.945042 | − | 4.14050i | 0.0386456 | − | 0.169318i | ||||
\(599\) | −10.4455 | + | 13.0983i | −0.426793 | + | 0.535181i | −0.948009 | − | 0.318243i | \(-0.896907\pi\) |
0.521216 | + | 0.853425i | \(0.325478\pi\) | |||||||
\(600\) | −0.0568052 | − | 0.0712315i | −0.00231906 | − | 0.00290801i | ||||
\(601\) | −10.1209 | −0.412840 | −0.206420 | − | 0.978463i | \(-0.566181\pi\) | ||||
−0.206420 | + | 0.978463i | \(0.566181\pi\) | |||||||
\(602\) | 2.16009 | − | 2.30642i | 0.0880388 | − | 0.0940026i | ||||
\(603\) | 19.8623 | 0.808856 | ||||||||
\(604\) | 4.83483 | + | 6.06268i | 0.196726 | + | 0.246687i | ||||
\(605\) | −3.91183 | + | 4.90528i | −0.159039 | + | 0.199428i | ||||
\(606\) | −0.109110 | + | 0.478041i | −0.00443228 | + | 0.0194191i | ||||
\(607\) | −9.32241 | + | 4.48944i | −0.378385 | + | 0.182221i | −0.613402 | − | 0.789771i | \(-0.710200\pi\) |
0.235017 | + | 0.971991i | \(0.424485\pi\) | |||||||
\(608\) | 3.61972 | 0.146799 | ||||||||
\(609\) | −0.145281 | −0.00588707 | ||||||||
\(610\) | −4.74016 | + | 2.28274i | −0.191923 | + | 0.0924255i | ||||
\(611\) | 2.58365 | + | 11.3197i | 0.104523 | + | 0.457946i | ||||
\(612\) | 0.714355 | + | 0.344015i | 0.0288761 | + | 0.0139060i | ||||
\(613\) | 5.33581 | + | 23.3777i | 0.215511 | + | 0.944217i | 0.960749 | + | 0.277418i | \(0.0894788\pi\) |
−0.745238 | + | 0.666799i | \(0.767664\pi\) | |||||||
\(614\) | −13.5694 | − | 17.0155i | −0.547616 | − | 0.686688i | ||||
\(615\) | −0.0392355 | + | 0.0188948i | −0.00158213 | + | 0.000761914i | ||||
\(616\) | −0.653167 | − | 0.819046i | −0.0263169 | − | 0.0330003i | ||||
\(617\) | −6.91617 | + | 30.3017i | −0.278434 | + | 1.21990i | 0.621338 | + | 0.783542i | \(0.286589\pi\) |
−0.899773 | + | 0.436359i | \(0.856268\pi\) | |||||||
\(618\) | −0.178773 | − | 0.0860927i | −0.00719132 | − | 0.00346316i | ||||
\(619\) | 0.422918 | + | 0.203666i | 0.0169985 | + | 0.00818604i | 0.442364 | − | 0.896836i | \(-0.354140\pi\) |
−0.425365 | + | 0.905022i | \(0.639854\pi\) | |||||||
\(620\) | −2.83249 | + | 3.55183i | −0.113756 | + | 0.142645i | ||||
\(621\) | 0.413714 | − | 1.81260i | 0.0166018 | − | 0.0727372i | ||||
\(622\) | 6.50020 | + | 28.4792i | 0.260634 | + | 1.14191i | ||||
\(623\) | −4.51177 | + | 5.65758i | −0.180760 | + | 0.226666i | ||||
\(624\) | −0.0708350 | + | 0.0888242i | −0.00283567 | + | 0.00355581i | ||||
\(625\) | −0.222521 | − | 0.974928i | −0.00890084 | − | 0.0389971i | ||||
\(626\) | 1.94267 | − | 8.51141i | 0.0776448 | − | 0.340184i | ||||
\(627\) | 0.446999 | − | 0.560519i | 0.0178514 | − | 0.0223850i | ||||
\(628\) | −2.54088 | − | 1.22362i | −0.101392 | − | 0.0488278i | ||||
\(629\) | −1.62179 | − | 0.781011i | −0.0646648 | − | 0.0311409i | ||||
\(630\) | 0.320805 | − | 1.40554i | 0.0127812 | − | 0.0559980i | ||||
\(631\) | 15.4722 | + | 19.4015i | 0.615938 | + | 0.772362i | 0.987767 | − | 0.155939i | \(-0.0498404\pi\) |
−0.371828 | + | 0.928302i | \(0.621269\pi\) | |||||||
\(632\) | −6.76462 | + | 3.25767i | −0.269082 | + | 0.129583i | ||||
\(633\) | −0.163719 | − | 0.205298i | −0.00650726 | − | 0.00815984i | ||||
\(634\) | 5.39453 | + | 23.6350i | 0.214244 | + | 0.938665i | ||||
\(635\) | 9.73189 | + | 4.68663i | 0.386198 | + | 0.185983i | ||||
\(636\) | −0.256030 | − | 1.12174i | −0.0101523 | − | 0.0444799i | ||||
\(637\) | 7.60353 | − | 3.66167i | 0.301263 | − | 0.145081i | ||||
\(638\) | −7.19349 | −0.284793 | ||||||||
\(639\) | 15.6660 | 0.619736 | ||||||||
\(640\) | −0.900969 | + | 0.433884i | −0.0356139 | + | 0.0171508i | ||||
\(641\) | 1.04083 | − | 4.56017i | 0.0411102 | − | 0.180116i | −0.950204 | − | 0.311627i | \(-0.899126\pi\) |
0.991315 | + | 0.131512i | \(0.0419831\pi\) | |||||||
\(642\) | −0.606592 | + | 0.760642i | −0.0239403 | + | 0.0300201i | ||||
\(643\) | −7.70645 | − | 9.66359i | −0.303913 | − | 0.381095i | 0.606300 | − | 0.795236i | \(-0.292653\pi\) |
−0.910212 | + | 0.414142i | \(0.864082\pi\) | |||||||
\(644\) | −1.64124 | −0.0646741 | ||||||||
\(645\) | −0.595554 | − | 0.0474171i | −0.0234499 | − | 0.00186705i | ||||
\(646\) | 0.959316 | 0.0377438 | ||||||||
\(647\) | −16.3307 | − | 20.4781i | −0.642026 | − | 0.805076i | 0.349228 | − | 0.937038i | \(-0.386444\pi\) |
−0.991255 | + | 0.131962i | \(0.957872\pi\) | |||||||
\(648\) | 5.56487 | − | 6.97813i | 0.218609 | − | 0.274127i | ||||
\(649\) | −3.47541 | + | 15.2268i | −0.136422 | + | 0.597702i | ||||
\(650\) | −1.12349 | + | 0.541044i | −0.0440669 | + | 0.0212215i | ||||
\(651\) | 0.199458 | 0.00781736 | ||||||||
\(652\) | 11.8949 | 0.465840 | ||||||||
\(653\) | −15.8981 | + | 7.65611i | −0.622140 | + | 0.299607i | −0.718273 | − | 0.695762i | \(-0.755067\pi\) |
0.0961328 | + | 0.995369i | \(0.469353\pi\) | |||||||
\(654\) | −0.0700136 | − | 0.306749i | −0.00273775 | − | 0.0119949i | ||||
\(655\) | −7.41499 | − | 3.57087i | −0.289727 | − | 0.139525i | ||||
\(656\) | 0.106361 | + | 0.465997i | 0.00415269 | + | 0.0181941i | ||||
\(657\) | −1.90415 | − | 2.38773i | −0.0742879 | − | 0.0931540i | ||||
\(658\) | 4.04264 | − | 1.94683i | 0.157598 | − | 0.0758954i | ||||
\(659\) | −1.77314 | − | 2.22345i | −0.0690718 | − | 0.0866133i | 0.746095 | − | 0.665839i | \(-0.231926\pi\) |
−0.815167 | + | 0.579226i | \(0.803355\pi\) | |||||||
\(660\) | −0.0440730 | + | 0.193096i | −0.00171554 | + | 0.00751627i | ||||
\(661\) | 28.1220 | + | 13.5428i | 1.09382 | + | 0.526755i | 0.891709 | − | 0.452608i | \(-0.149506\pi\) |
0.202108 | + | 0.979363i | \(0.435221\pi\) | |||||||
\(662\) | 21.3416 | + | 10.2776i | 0.829465 | + | 0.399449i | ||||
\(663\) | −0.0187730 | + | 0.0235406i | −0.000729084 | + | 0.000914242i | ||||
\(664\) | −1.39212 | + | 6.09926i | −0.0540246 | + | 0.236697i | ||||
\(665\) | −0.388149 | − | 1.70059i | −0.0150518 | − | 0.0659461i | ||||
\(666\) | −12.6691 | + | 15.8865i | −0.490916 | + | 0.615589i | ||||
\(667\) | −7.02663 | + | 8.81111i | −0.272072 | + | 0.341168i | ||||
\(668\) | 0.949052 | + | 4.15807i | 0.0367199 | + | 0.160880i | ||||
\(669\) | 0.172911 | − | 0.757572i | 0.00668512 | − | 0.0292894i | ||||
\(670\) | −4.13944 | + | 5.19069i | −0.159920 | + | 0.200534i | ||||
\(671\) | 10.3047 | + | 4.96249i | 0.397809 | + | 0.191575i | ||||
\(672\) | 0.0395568 | + | 0.0190495i | 0.00152594 | + | 0.000734852i | ||||
\(673\) | −3.47034 | + | 15.2045i | −0.133772 | + | 0.586092i | 0.862957 | + | 0.505277i | \(0.168610\pi\) |
−0.996729 | + | 0.0808152i | \(0.974248\pi\) | |||||||
\(674\) | 10.9598 | + | 13.7432i | 0.422157 | + | 0.529368i | ||||
\(675\) | −0.491834 | + | 0.236855i | −0.0189307 | + | 0.00911655i | ||||
\(676\) | −7.13587 | − | 8.94809i | −0.274456 | − | 0.344157i | ||||
\(677\) | 4.85148 | + | 21.2557i | 0.186458 | + | 0.816924i | 0.978465 | + | 0.206413i | \(0.0661789\pi\) |
−0.792008 | + | 0.610511i | \(0.790964\pi\) | |||||||
\(678\) | −0.401170 | − | 0.193193i | −0.0154068 | − | 0.00741954i | ||||
\(679\) | −0.450834 | − | 1.97523i | −0.0173014 | − | 0.0758025i | ||||
\(680\) | −0.238779 | + | 0.114990i | −0.00915676 | + | 0.00440966i | ||||
\(681\) | 1.92297 | 0.0736882 | ||||||||
\(682\) | 9.87602 | 0.378172 | ||||||||
\(683\) | −42.4204 | + | 20.4286i | −1.62317 | + | 0.781677i | −1.00000 | 0.000409135i | \(-0.999870\pi\) | |
−0.623170 | + | 0.782087i | \(0.714155\pi\) | |||||||
\(684\) | 2.40970 | − | 10.5576i | 0.0921374 | − | 0.403680i | ||||
\(685\) | 2.24579 | − | 2.81613i | 0.0858071 | − | 0.107599i | ||||
\(686\) | −4.13662 | − | 5.18715i | −0.157937 | − | 0.198046i | ||||
\(687\) | 0.222982 | 0.00850730 | ||||||||
\(688\) | −1.96196 | + | 6.25705i | −0.0747991 | + | 0.238548i | ||||
\(689\) | −15.7478 | −0.599944 | ||||||||
\(690\) | 0.193468 | + | 0.242601i | 0.00736520 | + | 0.00923567i | ||||
\(691\) | −25.5139 | + | 31.9934i | −0.970594 | + | 1.21709i | 0.00555468 | + | 0.999985i | \(0.498232\pi\) |
−0.976149 | + | 0.217102i | \(0.930340\pi\) | |||||||
\(692\) | −0.888134 | + | 3.89117i | −0.0337618 | + | 0.147920i | ||||
\(693\) | −2.82373 | + | 1.35984i | −0.107265 | + | 0.0516559i | ||||
\(694\) | −14.4015 | −0.546672 | ||||||||
\(695\) | 7.93807 | 0.301108 | ||||||||
\(696\) | 0.271622 | − | 0.130806i | 0.0102958 | − | 0.00495820i | ||||
\(697\) | 0.0281883 | + | 0.123501i | 0.00106771 | + | 0.00467793i | ||||
\(698\) | 19.2510 | + | 9.27078i | 0.728660 | + | 0.350904i | ||||
\(699\) | −0.00189526 | − | 0.00830367i | −7.16852e−5 | − | 0.000314074i | ||||
\(700\) | 0.300456 | + | 0.376761i | 0.0113562 | + | 0.0142402i | ||||
\(701\) | −35.9168 | + | 17.2966i | −1.35656 | + | 0.653285i | −0.963867 | − | 0.266385i | \(-0.914171\pi\) |
−0.392693 | + | 0.919670i | \(0.628456\pi\) | |||||||
\(702\) | 0.424422 | + | 0.532208i | 0.0160188 | + | 0.0200869i | ||||
\(703\) | −5.47070 | + | 23.9687i | −0.206331 | + | 0.903997i | ||||
\(704\) | 1.95863 | + | 0.943227i | 0.0738187 | + | 0.0355492i | ||||
\(705\) | −0.764313 | − | 0.368074i | −0.0287857 | − | 0.0138625i | ||||
\(706\) | 12.8702 | − | 16.1387i | 0.484375 | − | 0.607387i | ||||
\(707\) | 0.577107 | − | 2.52847i | 0.0217044 | − | 0.0950930i | ||||
\(708\) | −0.145654 | − | 0.638151i | −0.00547400 | − | 0.0239832i | ||||
\(709\) | 26.1016 | − | 32.7304i | 0.980268 | − | 1.22922i | 0.00689801 | − | 0.999976i | \(-0.497804\pi\) |
0.973370 | − | 0.229241i | \(-0.0736243\pi\) | |||||||
\(710\) | −3.26489 | + | 4.09404i | −0.122529 | + | 0.153647i | ||||
\(711\) | 4.99830 | + | 21.8990i | 0.187451 | + | 0.821276i | ||||
\(712\) | 3.34146 | − | 14.6399i | 0.125227 | − | 0.548653i | ||||
\(713\) | 9.64694 | − | 12.0969i | 0.361281 | − | 0.453032i | ||||
\(714\) | 0.0104835 | + | 0.00504860i | 0.000392336 | + | 0.000188939i | ||||
\(715\) | 2.44237 | + | 1.17618i | 0.0913396 | + | 0.0439868i | ||||
\(716\) | 1.93322 | − | 8.47000i | 0.0722479 | − | 0.316539i | ||||
\(717\) | −0.425599 | − | 0.533684i | −0.0158943 | − | 0.0199308i | ||||
\(718\) | 12.8254 | − | 6.17637i | 0.478639 | − | 0.230500i | ||||
\(719\) | 10.7520 | + | 13.4825i | 0.400981 | + | 0.502814i | 0.940798 | − | 0.338969i | \(-0.110078\pi\) |
−0.539817 | + | 0.841782i | \(0.681507\pi\) | |||||||
\(720\) | 0.665716 | + | 2.91669i | 0.0248098 | + | 0.108699i | ||||
\(721\) | 0.945575 | + | 0.455365i | 0.0352151 | + | 0.0169587i | ||||
\(722\) | 1.31234 | + | 5.74976i | 0.0488404 | + | 0.213984i | ||||
\(723\) | 0.291464 | − | 0.140362i | 0.0108397 | − | 0.00522012i | ||||
\(724\) | −3.23993 | −0.120411 | ||||||||
\(725\) | 3.30900 | 0.122893 | ||||||||
\(726\) | −0.515014 | + | 0.248018i | −0.0191140 | + | 0.00920481i | ||||
\(727\) | 9.65675 | − | 42.3090i | 0.358149 | − | 1.56915i | −0.399652 | − | 0.916667i | \(-0.630869\pi\) |
0.757801 | − | 0.652486i | \(-0.226274\pi\) | |||||||
\(728\) | 0.374663 | − | 0.469813i | 0.0138859 | − | 0.0174124i | ||||
\(729\) | −16.5554 | − | 20.7598i | −0.613163 | − | 0.768882i | ||||
\(730\) | 1.02083 | 0.0377826 | ||||||||
\(731\) | −0.519968 | + | 1.65827i | −0.0192317 | + | 0.0613335i | ||||
\(732\) | −0.479338 | −0.0177169 | ||||||||
\(733\) | −26.2875 | − | 32.9635i | −0.970952 | − | 1.21754i | −0.976049 | − | 0.217549i | \(-0.930194\pi\) |
0.00509721 | − | 0.999987i | \(-0.498378\pi\) | |||||||
\(734\) | −6.63484 | + | 8.31983i | −0.244896 | + | 0.307090i | ||||
\(735\) | −0.137207 | + | 0.601143i | −0.00506095 | + | 0.0221735i | ||||
\(736\) | 3.06853 | − | 1.47773i | 0.113108 | − | 0.0544697i | ||||
\(737\) | 14.4329 | 0.531644 | ||||||||
\(738\) | 1.42998 | 0.0526382 | ||||||||
\(739\) | −10.4015 | + | 5.00908i | −0.382624 | + | 0.184262i | −0.615301 | − | 0.788292i | \(-0.710966\pi\) |
0.232678 | + | 0.972554i | \(0.425251\pi\) | |||||||
\(740\) | −1.51136 | − | 6.62170i | −0.0555587 | − | 0.243419i | ||||
\(741\) | 0.370513 | + | 0.178430i | 0.0136111 | + | 0.00655477i | ||||
\(742\) | 1.35420 | + | 5.93316i | 0.0497144 | + | 0.217813i | ||||
\(743\) | −3.60902 | − | 4.52557i | −0.132402 | − | 0.166027i | 0.711211 | − | 0.702979i | \(-0.248147\pi\) |
−0.843613 | + | 0.536952i | \(0.819576\pi\) | |||||||
\(744\) | −0.372913 | + | 0.179586i | −0.0136717 | + | 0.00658393i | ||||
\(745\) | −14.4883 | − | 18.1678i | −0.530811 | − | 0.665617i | ||||
\(746\) | 4.57268 | − | 20.0342i | 0.167418 | − | 0.733505i | ||||
\(747\) | 16.8629 | + | 8.12075i | 0.616982 | + | 0.297123i | ||||
\(748\) | 0.519086 | + | 0.249978i | 0.0189797 | + | 0.00914012i | ||||
\(749\) | 3.20841 | − | 4.02322i | 0.117233 | − | 0.147005i | ||||
\(750\) | 0.0202736 | − | 0.0888242i | 0.000740285 | − | 0.00324340i | ||||
\(751\) | 5.28996 | + | 23.1768i | 0.193034 | + | 0.845735i | 0.974963 | + | 0.222368i | \(0.0713786\pi\) |
−0.781929 | + | 0.623367i | \(0.785764\pi\) | |||||||
\(752\) | −5.80540 | + | 7.27974i | −0.211701 | + | 0.265465i | ||||
\(753\) | −1.17124 | + | 1.46869i | −0.0426823 | + | 0.0535219i | ||||
\(754\) | −0.918178 | − | 4.02280i | −0.0334381 | − | 0.146502i | ||||
\(755\) | −1.72553 | + | 7.56004i | −0.0627984 | + | 0.275138i | ||||
\(756\) | 0.164018 | − | 0.205672i | 0.00596526 | − | 0.00748020i | ||||
\(757\) | 3.89495 | + | 1.87571i | 0.141564 | + | 0.0681737i | 0.503325 | − | 0.864097i | \(-0.332110\pi\) |
−0.361761 | + | 0.932271i | \(0.617824\pi\) | |||||||
\(758\) | −3.61904 | − | 1.74284i | −0.131449 | − | 0.0633027i | ||||
\(759\) | 0.150104 | − | 0.657650i | 0.00544844 | − | 0.0238712i | ||||
\(760\) | 2.25686 | + | 2.83001i | 0.0818649 | + | 0.102655i | ||||
\(761\) | 13.9525 | − | 6.71918i | 0.505779 | − | 0.243570i | −0.163552 | − | 0.986535i | \(-0.552295\pi\) |
0.669331 | + | 0.742964i | \(0.266581\pi\) | |||||||
\(762\) | 0.613586 | + | 0.769413i | 0.0222279 | + | 0.0278729i | ||||
\(763\) | 0.370318 | + | 1.62247i | 0.0134064 | + | 0.0587374i | ||||
\(764\) | −13.6030 | − | 6.55088i | −0.492141 | − | 0.237003i | ||||
\(765\) | 0.176431 | + | 0.772995i | 0.00637888 | + | 0.0279477i | ||||
\(766\) | 23.6694 | − | 11.3986i | 0.855210 | − | 0.411848i | ||||
\(767\) | −8.95883 | −0.323485 | ||||||||
\(768\) | −0.0911085 | −0.00328760 | ||||||||
\(769\) | −3.58809 | + | 1.72793i | −0.129390 | + | 0.0623109i | −0.497459 | − | 0.867488i | \(-0.665733\pi\) |
0.368069 | + | 0.929799i | \(0.380019\pi\) | |||||||
\(770\) | 0.233113 | − | 1.02133i | 0.00840080 | − | 0.0368063i | ||||
\(771\) | −0.0291667 | + | 0.0365739i | −0.00105041 | + | 0.00131718i | ||||
\(772\) | −4.40902 | − | 5.52874i | −0.158684 | − | 0.198984i | ||||
\(773\) | −39.8174 | −1.43213 | −0.716066 | − | 0.698032i | \(-0.754059\pi\) | ||||
−0.716066 | + | 0.698032i | \(0.754059\pi\) | |||||||
\(774\) | 16.9438 | + | 9.88785i | 0.609032 | + | 0.355412i | ||||
\(775\) | −4.54296 | −0.163188 | ||||||||
\(776\) | 2.62134 | + | 3.28706i | 0.0941006 | + | 0.117998i | ||||
\(777\) | −0.185925 | + | 0.233143i | −0.00667002 | + | 0.00836394i | ||||
\(778\) | 3.05208 | − | 13.3720i | 0.109422 | − | 0.479411i | ||||
\(779\) | 1.55882 | − | 0.750688i | 0.0558505 | − | 0.0268962i | ||||
\(780\) | −0.113610 | −0.00406791 | ||||||||
\(781\) | 11.3837 | 0.407340 | ||||||||
\(782\) | 0.813237 | − | 0.391634i | 0.0290813 | − | 0.0140048i | ||||
\(783\) | −0.401954 | − | 1.76108i | −0.0143647 | − | 0.0629357i | ||||
\(784\) | 6.09756 | + | 2.93643i | 0.217770 | + | 0.104872i | ||||
\(785\) | −0.627544 | − | 2.74945i | −0.0223980 | − | 0.0981321i | ||||
\(786\) | −0.467508 | − | 0.586236i | −0.0166755 | − | 0.0209104i | ||||
\(787\) | −4.91824 | + | 2.36850i | −0.175316 | + | 0.0844279i | −0.519483 | − | 0.854481i | \(-0.673876\pi\) |
0.344167 | + | 0.938908i | \(0.388161\pi\) | |||||||
\(788\) | −5.83599 | − | 7.31810i | −0.207898 | − | 0.260696i | ||||
\(789\) | −0.110063 | + | 0.482219i | −0.00391836 | + | 0.0171674i | ||||
\(790\) | −6.76462 | − | 3.25767i | −0.240674 | − | 0.115903i | ||||
\(791\) | 2.12188 | + | 1.02184i | 0.0754455 | + | 0.0363326i | ||||
\(792\) | 4.05499 | − | 5.08480i | 0.144088 | − | 0.180681i | ||||
\(793\) | −1.45987 | + | 6.39610i | −0.0518414 | + | 0.227132i | ||||
\(794\) | 8.64661 | + | 37.8833i | 0.306857 | + | 1.34443i | ||||
\(795\) | 0.717380 | − | 0.899566i | 0.0254429 | − | 0.0319043i | ||||
\(796\) | 13.0245 | − | 16.3322i | 0.461642 | − | 0.578881i | ||||
\(797\) | −11.6075 | − | 50.8556i | −0.411157 | − | 1.80140i | −0.578710 | − | 0.815533i | \(-0.696444\pi\) |
0.167553 | − | 0.985863i | \(-0.446414\pi\) | |||||||
\(798\) | 0.0353637 | − | 0.154938i | 0.00125186 | − | 0.00548476i | ||||
\(799\) | −1.53857 | + | 1.92931i | −0.0544308 | + | 0.0682541i | ||||
\(800\) | −0.900969 | − | 0.433884i | −0.0318541 | − | 0.0153401i | ||||
\(801\) | −40.4756 | − | 19.4920i | −1.43013 | − | 0.688717i | ||||
\(802\) | 4.09796 | − | 17.9543i | 0.144704 | − | 0.633990i | ||||
\(803\) | −1.38365 | − | 1.73504i | −0.0488279 | − | 0.0612282i | ||||
\(804\) | −0.544980 | + | 0.262449i | −0.0192200 | + | 0.00925585i | ||||
\(805\) | −1.02330 | − | 1.28318i | −0.0360665 | − | 0.0452260i | ||||
\(806\) | 1.26058 | + | 5.52295i | 0.0444019 | + | 0.194538i | ||||
\(807\) | −1.28007 | − | 0.616447i | −0.0450605 | − | 0.0217000i | ||||
\(808\) | 1.19758 | + | 5.24694i | 0.0421307 | + | 0.184587i | ||||
\(809\) | −45.1324 | + | 21.7346i | −1.58677 | + | 0.764148i | −0.998993 | − | 0.0448749i | \(-0.985711\pi\) |
−0.587777 | + | 0.809023i | \(0.699997\pi\) | |||||||
\(810\) | 8.92536 | 0.313605 | ||||||||
\(811\) | 31.3229 | 1.09989 | 0.549947 | − | 0.835199i | \(-0.314648\pi\) | ||||
0.549947 | + | 0.835199i | \(0.314648\pi\) | |||||||
\(812\) | −1.43668 | + | 0.691866i | −0.0504174 | + | 0.0242798i | ||||
\(813\) | 0.114200 | − | 0.500345i | 0.00400518 | − | 0.0175479i | ||||
\(814\) | −9.20597 | + | 11.5439i | −0.322669 | + | 0.404614i | ||||
\(815\) | 7.41634 | + | 9.29980i | 0.259783 | + | 0.325758i | ||||
\(816\) | −0.0241460 | −0.000845279 | ||||||||
\(817\) | 23.6612 | + | 1.88387i | 0.827801 | + | 0.0659083i | ||||
\(818\) | 28.1152 | 0.983024 | ||||||||
\(819\) | −1.12088 | − | 1.40554i | −0.0391667 | − | 0.0491135i | ||||
\(820\) | −0.298016 | + | 0.373701i | −0.0104072 | + | 0.0130502i | ||||
\(821\) | 11.4321 | − | 50.0875i | 0.398985 | − | 1.74807i | −0.232423 | − | 0.972615i | \(-0.574665\pi\) |
0.631408 | − | 0.775451i | \(-0.282477\pi\) | |||||||
\(822\) | 0.295670 | − | 0.142387i | 0.0103127 | − | 0.00496633i | ||||
\(823\) | −43.7459 | −1.52488 | −0.762442 | − | 0.647056i | \(-0.776000\pi\) | ||||
−0.762442 | + | 0.647056i | \(0.776000\pi\) | |||||||
\(824\) | −2.17788 | −0.0758701 | ||||||||
\(825\) | −0.178448 | + | 0.0859360i | −0.00621276 | + | 0.00299191i | ||||
\(826\) | 0.770398 | + | 3.37533i | 0.0268056 | + | 0.117443i | ||||
\(827\) | −20.1035 | − | 9.68131i | −0.699066 | − | 0.336652i | 0.0503690 | − | 0.998731i | \(-0.483960\pi\) |
−0.749435 | + | 0.662078i | \(0.769675\pi\) | |||||||
\(828\) | −2.26730 | − | 9.93371i | −0.0787942 | − | 0.345220i | ||||
\(829\) | 4.67410 | + | 5.86113i | 0.162338 | + | 0.203565i | 0.856347 | − | 0.516401i | \(-0.172729\pi\) |
−0.694009 | + | 0.719966i | \(0.744157\pi\) | |||||||
\(830\) | −5.63657 | + | 2.71443i | −0.195648 | + | 0.0942192i | ||||
\(831\) | −0.895963 | − | 1.12350i | −0.0310806 | − | 0.0389739i | ||||
\(832\) | −0.277479 | + | 1.21572i | −0.00961986 | + | 0.0421473i | ||||
\(833\) | 1.61600 | + | 0.778226i | 0.0559912 | + | 0.0269639i | ||||
\(834\) | 0.651604 | + | 0.313796i | 0.0225632 | + | 0.0108659i | ||||
\(835\) | −2.65918 | + | 3.33451i | −0.0920249 | + | 0.115396i | ||||
\(836\) | 1.75101 | − | 7.67168i | 0.0605600 | − | 0.265331i | ||||
\(837\) | 0.551847 | + | 2.41780i | 0.0190746 | + | 0.0835714i | ||||
\(838\) | 2.63501 | − | 3.30420i | 0.0910250 | − | 0.114142i | ||||
\(839\) | 18.1205 | − | 22.7224i | 0.625590 | − | 0.784464i | −0.363529 | − | 0.931583i | \(-0.618428\pi\) |
0.989119 | + | 0.147118i | \(0.0469998\pi\) | |||||||
\(840\) | 0.00976972 | + | 0.0428039i | 0.000337087 | + | 0.00147688i | ||||
\(841\) | 4.01662 | − | 17.5980i | 0.138504 | − | 0.606826i | ||||
\(842\) | 14.9946 | − | 18.8026i | 0.516748 | − | 0.647982i | ||||
\(843\) | −0.191201 | − | 0.0920773i | −0.00658530 | − | 0.00317131i | ||||
\(844\) | −2.59670 | − | 1.25050i | −0.0893820 | − | 0.0430441i | ||||
\(845\) | 2.54676 | − | 11.1581i | 0.0876113 | − | 0.383850i | ||||
\(846\) | 17.3680 | + | 21.7788i | 0.597124 | + | 0.748770i | ||||
\(847\) | 2.72403 | − | 1.31183i | 0.0935989 | − | 0.0450749i | ||||
\(848\) | −7.87391 | − | 9.87357i | −0.270391 | − | 0.339060i | ||||
\(849\) | −0.0906246 | − | 0.397052i | −0.00311023 | − | 0.0136268i | ||||
\(850\) | −0.238779 | − | 0.114990i | −0.00819005 | − | 0.00394412i | ||||
\(851\) | 5.14741 | + | 22.5523i | 0.176451 | + | 0.773082i | ||||
\(852\) | −0.429841 | + | 0.207001i | −0.0147261 | + | 0.00709172i | ||||
\(853\) | 33.6887 | 1.15348 | 0.576739 | − | 0.816929i | \(-0.304325\pi\) | ||||
0.576739 | + | 0.816929i | \(0.304325\pi\) | |||||||
\(854\) | 2.53534 | 0.0867574 | ||||||||
\(855\) | 9.75670 | − | 4.69858i | 0.333672 | − | 0.160688i | ||||
\(856\) | −2.37618 | + | 10.4107i | −0.0812161 | + | 0.355831i | ||||
\(857\) | −18.3983 | + | 23.0708i | −0.628475 | + | 0.788082i | −0.989509 | − | 0.144470i | \(-0.953852\pi\) |
0.361035 | + | 0.932552i | \(0.382424\pi\) | |||||||
\(858\) | 0.153989 | + | 0.193096i | 0.00525711 | + | 0.00659220i | ||||
\(859\) | 42.3402 | 1.44463 | 0.722315 | − | 0.691565i | \(-0.243078\pi\) | ||||
0.722315 | + | 0.691565i | \(0.243078\pi\) | |||||||
\(860\) | −6.11522 | + | 2.36728i | −0.208527 | + | 0.0807237i | ||||
\(861\) | 0.0209856 | 0.000715188 | ||||||||
\(862\) | 0.468051 | + | 0.586918i | 0.0159419 | + | 0.0199905i | ||||
\(863\) | −17.0708 | + | 21.4061i | −0.581097 | + | 0.728673i | −0.982300 | − | 0.187317i | \(-0.940021\pi\) |
0.401202 | + | 0.915989i | \(0.368592\pi\) | |||||||
\(864\) | −0.121473 | + | 0.532208i | −0.00413260 | + | 0.0181061i | ||||
\(865\) | −3.59598 | + | 1.73173i | −0.122267 | + | 0.0588807i | ||||
\(866\) | −13.5001 | −0.458753 | ||||||||
\(867\) | 1.54245 | 0.0523842 | ||||||||
\(868\) | 1.97243 | − | 0.949871i | 0.0669486 | − | 0.0322407i | ||||
\(869\) | 3.63201 | + | 15.9129i | 0.123208 | + | 0.539808i | ||||
\(870\) | 0.271622 | + | 0.130806i | 0.00920886 | + | 0.00443475i | ||||
\(871\) | 1.84222 | + | 8.07130i | 0.0624213 | + | 0.273486i | ||||
\(872\) | −2.15319 | − | 2.70001i | −0.0729161 | − | 0.0914339i | ||||
\(873\) | 11.3324 | − | 5.45739i | 0.383543 | − | 0.184705i | ||||
\(874\) | −7.68644 | − | 9.63849i | −0.259998 | − | 0.326027i | ||||
\(875\) | −0.107232 | + | 0.469813i | −0.00362509 | + | 0.0158826i | ||||
\(876\) | 0.0837958 | + | 0.0403539i | 0.00283120 | + | 0.00136343i | ||||
\(877\) | −24.0295 | − | 11.5720i | −0.811417 | − | 0.390758i | −0.0183044 | − | 0.999832i | \(-0.505827\pi\) |
−0.793113 | + | 0.609074i | \(0.791541\pi\) | |||||||
\(878\) | 17.2634 | − | 21.6476i | 0.582612 | − | 0.730572i | ||||
\(879\) | −0.382138 | + | 1.67426i | −0.0128892 | + | 0.0564713i | ||||
\(880\) | 0.483742 | + | 2.11941i | 0.0163069 | + | 0.0714454i | ||||
\(881\) | 8.77894 | − | 11.0084i | 0.295770 | − | 0.370884i | −0.611636 | − | 0.791139i | \(-0.709488\pi\) |
0.907406 | + | 0.420256i | \(0.138060\pi\) | |||||||
\(882\) | 12.6239 | − | 15.8299i | 0.425069 | − | 0.533019i | ||||
\(883\) | 0.468839 | + | 2.05412i | 0.0157777 | + | 0.0691266i | 0.982204 | − | 0.187818i | \(-0.0601414\pi\) |
−0.966426 | + | 0.256944i | \(0.917284\pi\) | |||||||
\(884\) | −0.0735388 | + | 0.322195i | −0.00247338 | + | 0.0108366i | ||||
\(885\) | 0.408113 | − | 0.511757i | 0.0137186 | − | 0.0172025i | ||||
\(886\) | 32.1795 | + | 15.4968i | 1.08109 | + | 0.520626i | ||||
\(887\) | −42.1858 | − | 20.3156i | −1.41646 | − | 0.682132i | −0.440034 | − | 0.897981i | \(-0.645034\pi\) |
−0.976427 | + | 0.215849i | \(0.930748\pi\) | |||||||
\(888\) | 0.137698 | − | 0.603294i | 0.00462084 | − | 0.0202452i | ||||
\(889\) | −3.24541 | − | 4.06961i | −0.108847 | − | 0.136490i | ||||
\(890\) | 13.5293 | − | 6.51537i | 0.453503 | − | 0.218396i | ||||
\(891\) | −12.0976 | − | 15.1699i | −0.405284 | − | 0.508210i | ||||
\(892\) | −1.89786 | − | 8.31505i | −0.0635449 | − | 0.278409i | ||||
\(893\) | 30.3660 | + | 14.6235i | 1.01616 | + | 0.489357i | ||||
\(894\) | −0.471106 | − | 2.06405i | −0.0157562 | − | 0.0690322i | ||||
\(895\) | 7.82745 | − | 3.76950i | 0.261643 | − | 0.126001i | ||||
\(896\) | 0.481895 | 0.0160990 | ||||||||
\(897\) | 0.386936 | 0.0129194 | ||||||||
\(898\) | −7.02484 | + | 3.38299i | −0.234422 | + | 0.112892i | ||||
\(899\) | 3.34508 | − | 14.6558i | 0.111565 | − | 0.488797i | ||||
\(900\) | −1.86529 | + | 2.33900i | −0.0621765 | + | 0.0779668i | ||||
\(901\) | −2.08678 | − | 2.61674i | −0.0695208 | − | 0.0871763i | ||||
\(902\) | 1.03909 | 0.0345980 | ||||||||
\(903\) | 0.248659 | + | 0.145109i | 0.00827484 | + | 0.00482894i | ||||
\(904\) | −4.88719 | −0.162546 | ||||||||
\(905\) | −2.02007 | − | 2.53308i | −0.0671492 | − | 0.0842025i | ||||
\(906\) | −0.440494 | + | 0.552362i | −0.0146344 | + | 0.0183510i | ||||
\(907\) | 7.54583 | − | 33.0604i | 0.250555 | − | 1.09775i | −0.680463 | − | 0.732782i | \(-0.738222\pi\) |
0.931019 | − | 0.364972i | \(-0.118921\pi\) | |||||||
\(908\) | 19.0161 | − | 9.15769i | 0.631073 | − | 0.303909i | ||||
\(909\) | 16.1009 | 0.534035 | ||||||||
\(910\) | 0.600913 | 0.0199201 | ||||||||
\(911\) | −27.2297 | + | 13.1131i | −0.902159 | + | 0.434457i | −0.826668 | − | 0.562690i | \(-0.809767\pi\) |
−0.0754906 | + | 0.997147i | \(0.524052\pi\) | |||||||
\(912\) | 0.0733846 | + | 0.321519i | 0.00243001 | + | 0.0106466i | ||||
\(913\) | 12.2534 | + | 5.90094i | 0.405529 | + | 0.195293i | ||||
\(914\) | −2.78854 | − | 12.2174i | −0.0922367 | − | 0.404115i | ||||
\(915\) | −0.298863 | − | 0.374762i | −0.00988009 | − | 0.0123892i | ||||
\(916\) | 2.20506 | − | 1.06190i | 0.0728574 | − | 0.0350863i | ||||
\(917\) | 2.47276 | + | 3.10074i | 0.0816578 | + | 0.102396i | ||||
\(918\) | −0.0321934 | + | 0.141048i | −0.00106254 | + | 0.00465529i | ||||
\(919\) | 23.3432 | + | 11.2415i | 0.770022 | + | 0.370823i | 0.777284 | − | 0.629150i | \(-0.216597\pi\) |
−0.00726126 | + | 0.999974i | \(0.502311\pi\) | |||||||
\(920\) | 3.06853 | + | 1.47773i | 0.101166 | + | 0.0487192i | ||||
\(921\) | 1.23629 | − | 1.55025i | 0.0407370 | − | 0.0510826i | ||||
\(922\) | 9.29224 | − | 40.7120i | 0.306024 | − | 1.34078i | ||||
\(923\) | 1.45301 | + | 6.36607i | 0.0478265 | + | 0.209542i | ||||
\(924\) | 0.0595091 | − | 0.0746220i | 0.00195771 | − | 0.00245488i | ||||
\(925\) | 4.23474 | − | 5.31019i | 0.139237 | − | 0.174598i | ||||
\(926\) | −5.73460 | − | 25.1249i | −0.188451 | − | 0.825657i | ||||
\(927\) | −1.44985 | + | 6.35220i | −0.0476193 | + | 0.208634i | ||||
\(928\) | 2.06313 | − | 2.58708i | 0.0677255 | − | 0.0849250i | ||||
\(929\) | −48.0741 | − | 23.1513i | −1.57726 | − | 0.759569i | −0.578824 | − | 0.815453i | \(-0.696488\pi\) |
−0.998437 | + | 0.0558838i | \(0.982202\pi\) | |||||||
\(930\) | −0.372913 | − | 0.179586i | −0.0122283 | − | 0.00588884i | ||||
\(931\) | 5.45120 | − | 23.8833i | 0.178656 | − | 0.782742i | ||||
\(932\) | −0.0582865 | − | 0.0730889i | −0.00190924 | − | 0.00239411i | ||||
\(933\) | −2.39787 | + | 1.15475i | −0.0785026 | + | 0.0378048i | ||||
\(934\) | 3.36393 | + | 4.21824i | 0.110071 | + | 0.138025i | ||||
\(935\) | 0.128204 | + | 0.561697i | 0.00419271 | + | 0.0183694i | ||||
\(936\) | 3.36114 | + | 1.61864i | 0.109862 | + | 0.0529070i | ||||
\(937\) | −8.73613 | − | 38.2755i | −0.285397 | − | 1.25041i | −0.890767 | − | 0.454461i | \(-0.849832\pi\) |
0.605370 | − | 0.795944i | \(-0.293025\pi\) | |||||||
\(938\) | 2.88253 | − | 1.38815i | 0.0941179 | − | 0.0453248i | ||||
\(939\) | 0.795404 | 0.0259570 | ||||||||
\(940\) | −9.31114 | −0.303696 | ||||||||
\(941\) | −15.5291 | + | 7.47843i | −0.506235 | + | 0.243790i | −0.669527 | − | 0.742788i | \(-0.733503\pi\) |
0.163292 | + | 0.986578i | \(0.447789\pi\) | |||||||
\(942\) | 0.0571746 | − | 0.250498i | 0.00186285 | − | 0.00816168i | ||||
\(943\) | 1.01499 | − | 1.27276i | 0.0330526 | − | 0.0414466i | ||||
\(944\) | −4.47941 | − | 5.61701i | −0.145793 | − | 0.182818i | ||||
\(945\) | 0.263064 | 0.00855747 | ||||||||
\(946\) | 12.3122 | + | 7.18500i | 0.400304 | + | 0.233605i | ||||
\(947\) | 0.729329 | 0.0237000 | 0.0118500 | − | 0.999930i | \(-0.496228\pi\) | ||||
0.0118500 | + | 0.999930i | \(0.496228\pi\) | |||||||
\(948\) | −0.426503 | − | 0.534818i | −0.0138522 | − | 0.0173701i | ||||
\(949\) | 0.793674 | − | 0.995235i | 0.0257637 | − | 0.0323067i | ||||
\(950\) | −0.805464 | + | 3.52897i | −0.0261327 | + | 0.114495i | ||||
\(951\) | −1.98999 | + | 0.958330i | −0.0645299 | + | 0.0310760i | ||||
\(952\) | 0.127714 | 0.00413924 | ||||||||
\(953\) | −26.3729 | −0.854302 | −0.427151 | − | 0.904180i | \(-0.640483\pi\) | ||||
−0.427151 | + | 0.904180i | \(0.640483\pi\) | |||||||
\(954\) | −34.0399 | + | 16.3928i | −1.10208 | + | 0.530736i | ||||
\(955\) | −3.35967 | − | 14.7197i | −0.108717 | − | 0.476318i | ||||
\(956\) | −6.75029 | − | 3.25077i | −0.218320 | − | 0.105137i | ||||
\(957\) | −0.145838 | − | 0.638956i | −0.00471426 | − | 0.0206545i | ||||
\(958\) | −9.07023 | − | 11.3737i | −0.293046 | − | 0.367468i | ||||
\(959\) | −1.56387 | + | 0.753121i | −0.0505000 | + | 0.0243195i | ||||
\(960\) | −0.0568052 | − | 0.0712315i | −0.00183338 | − | 0.00229899i | ||||
\(961\) | 2.30565 | − | 10.1017i | 0.0743757 | − | 0.325861i | ||||
\(962\) | −7.63073 | − | 3.67477i | −0.246025 | − | 0.118479i | ||||
\(963\) | 28.7830 | + | 13.8612i | 0.927519 | + | 0.446669i | ||||
\(964\) | 2.21384 | − | 2.77607i | 0.0713030 | − | 0.0894111i | ||||
\(965\) | 1.57356 | − | 6.89423i | 0.0506548 | − | 0.221933i | ||||
\(966\) | −0.0332738 | − | 0.145782i | −0.00107057 | − | 0.00469047i | ||||
\(967\) | 36.2998 | − | 45.5185i | 1.16732 | − | 1.46378i | 0.308708 | − | 0.951157i | \(-0.400103\pi\) |
0.858615 | − | 0.512621i | \(-0.171325\pi\) | |||||||
\(968\) | −3.91183 | + | 4.90528i | −0.125731 | + | 0.157662i | ||||
\(969\) | 0.0194487 | + | 0.0852105i | 0.000624783 | + | 0.00273735i | ||||
\(970\) | −0.935545 | + | 4.09889i | −0.0300385 | + | 0.131607i | ||||
\(971\) | −6.91628 | + | 8.67274i | −0.221954 | + | 0.278321i | −0.880324 | − | 0.474373i | \(-0.842675\pi\) |
0.658370 | + | 0.752694i | \(0.271246\pi\) | |||||||
\(972\) | 2.20815 | + | 1.06339i | 0.0708264 | + | 0.0341082i | ||||
\(973\) | −3.44649 | − | 1.65974i | −0.110489 | − | 0.0532089i | ||||
\(974\) | −3.33586 | + | 14.6153i | −0.106888 | + | 0.468306i | ||||
\(975\) | −0.0708350 | − | 0.0888242i | −0.00226853 | − | 0.00284465i | ||||
\(976\) | −4.74016 | + | 2.28274i | −0.151729 | + | 0.0730688i | ||||
\(977\) | −29.2784 | − | 36.7140i | −0.936700 | − | 1.17458i | −0.984439 | − | 0.175725i | \(-0.943773\pi\) |
0.0477390 | − | 0.998860i | \(-0.484798\pi\) | |||||||
\(978\) | 0.241152 | + | 1.05655i | 0.00771118 | + | 0.0337849i | ||||
\(979\) | −29.4116 | − | 14.1639i | −0.939997 | − | 0.452679i | ||||
\(980\) | 1.50597 | + | 6.59810i | 0.0481065 | + | 0.210768i | ||||
\(981\) | −9.30851 | + | 4.48274i | −0.297198 | + | 0.143123i | ||||
\(982\) | −15.6725 | −0.500129 | ||||||||
\(983\) | 1.88161 | 0.0600139 | 0.0300070 | − | 0.999550i | \(-0.490447\pi\) | ||||
0.0300070 | + | 0.999550i | \(0.490447\pi\) | |||||||
\(984\) | −0.0392355 | + | 0.0188948i | −0.00125078 | + | 0.000602346i | ||||
\(985\) | 2.08284 | − | 9.12552i | 0.0663648 | − | 0.290763i | ||||
\(986\) | 0.546780 | − | 0.685640i | 0.0174130 | − | 0.0218352i | ||||
\(987\) | 0.254884 | + | 0.319615i | 0.00811306 | + | 0.0101735i | ||||
\(988\) | 4.51372 | 0.143600 | ||||||||
\(989\) | 20.8273 | − | 8.06253i | 0.662270 | − | 0.256374i | ||||
\(990\) | 6.50370 | 0.206701 | ||||||||
\(991\) | 26.1599 | + | 32.8034i | 0.830996 | + | 1.04204i | 0.998422 | + | 0.0561512i | \(0.0178829\pi\) |
−0.167426 | + | 0.985885i | \(0.553546\pi\) | |||||||
\(992\) | −2.83249 | + | 3.55183i | −0.0899317 | + | 0.112771i | ||||
\(993\) | −0.480228 | + | 2.10402i | −0.0152396 | + | 0.0667689i | ||||
\(994\) | 2.27353 | − | 1.09488i | 0.0721121 | − | 0.0347274i | ||||
\(995\) | 20.8897 | 0.662248 | ||||||||
\(996\) | −0.569986 | −0.0180607 | ||||||||
\(997\) | 19.4134 | − | 9.34900i | 0.614829 | − | 0.296086i | −0.100432 | − | 0.994944i | \(-0.532022\pi\) |
0.715260 | + | 0.698858i | \(0.246308\pi\) | |||||||
\(998\) | 1.26478 | + | 5.54135i | 0.0400358 | + | 0.175408i | ||||
\(999\) | −3.34053 | − | 1.60872i | −0.105690 | − | 0.0508975i |
(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 | 430.2.k.a.11.2 | ✓ | 12 | |
43.4 | even | 7 | inner | 430.2.k.a.391.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.a.11.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
430.2.k.a.391.2 | yes | 12 | 43.4 | even | 7 | inner |